Metrics for Rust f64::atanh

analyze2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample351.0ms (4.3%)

Memory

30.7MiB live, 491.6MiB allocated

Samples

206.0ms	8 256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-atanh: 59.0ms (88.2% of total)

ival-true: 5.0ms (7.5% of total)

ival-assert: 3.0ms (4.5% of total)

Bogosity

preprocess25.0ms (0.3%)

Memory

2.9MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Stop Event

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

Calls

Call 1

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

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

explain124.0ms (1.5%)

Memory

-48.0MiB live, 133.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 12.0ms (40.9% of total)

ival-sub: 6.0ms (20.5% of total)

ival-mult: 6.0ms (20.5% of total)

ival-log1p: 3.0ms (10.2% of total)

exact: 1.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify12.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

11.4MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43.2% of total)

ival-div: 2.0ms (21.6% of total)

ival-log1p: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-32.9MiB live, 7.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))>
#<alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>

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

Calls

12 calls:

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

simplify888.0ms (10.8%)

Memory

22.1MiB live, 541.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 522×	`lower-*.f32`
2 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite282.0ms (3.4%)

Memory

-4.1MiB live, 385.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 286×	`lower-fma.f64`
4 286×	`lower-fma.f32`
3 506×	`lower-*.f32`
3 502×	`lower-*.f64`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28

Stop Event

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

Counts

4 → 162

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 0 binary64))
(+.f64 (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))) (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))))
(+.f64 (log.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 9 binary64))) (log.f64 (.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))) (log.f64 (.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))) (log.f64 (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(-.f64 (log.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(-.f64 (log.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))))
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(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))

eval27.0ms (0.3%)

Memory: 20.6MiB live, 60.8MiB allocated
Compiler: Compiled 5 051 to 805 computations (84.1% saved)

prune27.0ms (0.3%)

Memory

-3.6MiB live, 72.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	7	210

Accuracy

100.0%

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
▶	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
▶	98.9%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
▶	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 195 to 117 computations (40% saved)

simplify348.0ms (4.2%)

Memory

-4.5MiB live, 354.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
✓	cost-diff	128	(neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	128	(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))

Rules

9 424×	`lower-fma.f32`
9 412×	`lower-fma.f64`
2 760×	`lower-*.f32`
2 740×	`lower-*.f64`
1 288×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	334
0	67	310
1	131	310
2	315	307
3	1168	307
4	3041	307
5	4498	307
6	6724	307
0	8070	291

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.6%)

Memory

1.5MiB live, 313.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
✓	accuracy	99.5%	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 2/5 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	98.9%	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

76.0ms

256×

valid

Compiler

Compiled 296 to 39 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 20.0ms (37.7% of total)

const: 12.0ms (22.6% of total)

ival-add: 11.0ms (20.7% of total)

ival-div: 3.0ms (5.6% of total)

ival-log1p: 3.0ms (5.6% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series11.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))>
#<alt (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))>
#<alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))>
#<alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))>
#<alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))>
#<alt (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))>
#<alt (+.f64 x (fma.f64 x x #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 2/5 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))>

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

Calls

66 calls:

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

simplify524.0ms (6.4%)

Memory

-41.9MiB live, 691.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 780×	`lower-fma.f64`
15 780×	`lower-fma.f32`
3 932×	`lower-*.f64`
3 932×	`lower-*.f32`
3 032×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	2191
1	523	2123
2	1377	2080
3	3964	2074
4	6959	2074
0	8123	1930

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

Calls

Call 1

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

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

rewrite520.0ms (6.3%)

Memory

9.3MiB live, 717.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 792×	`lower-fma.f32`
5 780×	`lower-fma.f64`
4 736×	`lower-*.f32`
4 716×	`lower-*.f64`
4 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	279
0	67	261
1	269	261
2	2176	261
0	9130	249

Stop Event

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

Counts

22 → 432

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))) (/.f64 x (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -2 binary64)) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x)) (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (fma.f64 x (*.f64 x x) x))))
(/.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (fma.f64 x (*.f64 x x) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (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) (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 x x))))
(.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 x #s(literal 2/5 binary64))
(*.f64 #s(literal 2/5 binary64) x)
(+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 2/5 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 2/5 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 2/5 binary64)))))
(fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/5 binary64)) x #s(literal 2/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64))) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 2/5 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) #s(literal 4/9 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64)))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 2/5 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))

eval120.0ms (1.5%)

Memory: 6.8MiB live, 202.1MiB allocated
Compiler: Compiled 22 067 to 2 235 computations (89.9% saved)

prune91.0ms (1.1%)

Memory

6.0MiB live, 164.6MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	825	2	827
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	826	8	834

Accuracy

100.0%

Counts

834 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
✓	98.9%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
▶	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 161 to 82 computations (49.1% saved)

simplify345.0ms (4.2%)

Memory

34.1MiB live, 666.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	cost-diff	320	(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	cost-diff	128	(-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))

Rules

13 176×	`lower-fma.f32`
13 164×	`lower-fma.f64`
4 488×	`lower-*.f32`
4 468×	`lower-*.f64`
4 174×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	507
0	75	480
1	164	468
2	574	460
3	3156	460
0	8306	436

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(*.f64 x #s(literal 1/7 binary64))
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 x x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(*.f64 x #s(literal 1/7 binary64))
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(log1p.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -2 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -2 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(neg.f64 x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(log1p.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 x x (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))

localize258.0ms (3.2%)

Memory

-0.9MiB live, 311.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	100.0%	(-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/7 binary64))

Samples

151.0ms

256×

valid

Compiler

Compiled 557 to 44 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

const: 42.0ms (38% of total)

ival-sub: 26.0ms (23.5% of total)

ival-mult: 20.0ms (18.1% of total)

ival-add: 8.0ms (7.2% of total)

ival-div: 6.0ms (5.4% of total)

ival-log1p: 6.0ms (5.4% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-2.3MiB live, 34.0MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))>
#<alt (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))>
#<alt (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))>
#<alt (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))>
#<alt (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))>
#<alt (*.f64 x #s(literal 1/7 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))>
#<alt (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))>
#<alt (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))>
#<alt (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 8 x)))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 8 x)))))))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 12 (pow x 2))))))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))>
#<alt (* (pow x 6) (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) x)) 8) x))))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (pow x 3) 2)))>
#<alt (+ 1 (* (pow x 3) (- (pow x 3) 2)))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))>
#<alt (* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))>
#<alt (* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))>
#<alt (* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))>
#<alt (* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (* 2 x) (+ (* x x) (+ x 1)))
3.0ms	x	@	0	(* 1/2 (- (log (+ 1 (neg (/ (* (* (* 2 x) (+ (* x x) (+ x 1))) (* (* 2 x) (+ (* x x) (+ x 1)))) (* (+ (* x (* x x)) -1) (+ (* x (* x x)) -1)))))) (log (+ 1 (/ (* (* 2 x) (+ (* x x) (+ x 1))) (+ (* x (* x x)) -1))))))
1.0ms	x	@	inf	(* 1/2 (- (log (+ 1 (neg (/ (* (* (* 2 x) (+ (* x x) (+ x 1))) (* (* 2 x) (+ (* x x) (+ x 1)))) (* (+ (* x (* x x)) -1) (+ (* x (* x x)) -1)))))) (log (+ 1 (/ (* (* 2 x) (+ (* x x) (+ x 1))) (+ (* x (* x x)) -1))))))
1.0ms	x	@	-inf	(* 1/2 (- (log (+ 1 (neg (/ (* (* (* 2 x) (+ (* x x) (+ x 1))) (* (* 2 x) (+ (* x x) (+ x 1)))) (* (+ (* x (* x x)) -1) (+ (* x (* x x)) -1)))))) (log (+ 1 (/ (* (* 2 x) (+ (* x x) (+ x 1))) (+ (* x (* x x)) -1))))))
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)

simplify421.0ms (5.1%)

Memory

-42.7MiB live, 578.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 526×	`lower-fma.f64`
10 526×	`lower-fma.f32`
4 142×	`lower-*.f64`
4 142×	`lower-*.f32`
3 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2001
1	961	1954
2	2512	1919
3	6121	1898
0	8211	1791

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* -1 x) 1)) 1)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 8 x)))))))
(* 4 (pow x 6))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 12 (pow x 2))))))
(* 4 (pow x 6))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(* (pow x 6) (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) x)) 8) x))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
1
(+ 1 (* -2 (pow x 3)))
(+ 1 (* (pow x 3) (- (pow x 3) 2)))
(+ 1 (* (pow x 3) (- (pow x 3) 2)))
(pow x 6)
(* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))
(* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))
(* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))
(pow x 6)
(* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))
(* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))
(* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2 x) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))
(* x (- (* x (- (* -2 x) 2)) 2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))
(* x (- (* x (- (* -2 x) 2)) 2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x))
(* -2 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 8 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 12 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 8 x)))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))
(* 4 (pow x 6))
(.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 8 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 12 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 8 binary64) x) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x))))))
(* 4 (pow x 6))
(.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 8 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) x)) 8) x))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)))
(* -4 (pow x 2))
(.f64 x (.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (* -8 x) 4))
(.f64 x (.f64 x (fma.f64 x #s(literal -8 binary64) #s(literal -4 binary64))))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -12 binary64) #s(literal -8 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16 binary64) #s(literal -12 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) x))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(-.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 16 binary64) x)) (*.f64 x x)))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) (/.f64 #s(literal -16 binary64) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* 2 (pow x 3))
(.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(.f64 x (.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(fma.f64 x (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(fma.f64 x (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(* 2 (pow x 3))
(.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(.f64 x (.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(neg.f64 (fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(neg.f64 (fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x x x) (/.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (log -3) (log 3)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (- (log -3) (log 3)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -3 binary64)) (log.f64 #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f64 x (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* -4 (pow x 2))
(.f64 x (.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (* -8 x) 4))
(.f64 x (.f64 x (fma.f64 x #s(literal -8 binary64) #s(literal -4 binary64))))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -20 binary64) #s(literal -8 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -48 binary64) #s(literal -20 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64)))
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal -3 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(+.f64 (log.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (/.f64 #s(literal 4/9 binary64) (.f64 x x)) (/.f64 #s(literal 80/81 binary64) (.f64 x (*.f64 x x))))))
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal -3 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(+.f64 (log.f64 #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 80/81 binary64) x)) x)) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -4 x) 2))
(*.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal -2 binary64)))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -26/3 binary64) #s(literal -4 binary64)) #s(literal -2 binary64)))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -20 binary64) #s(literal -26/3 binary64)) #s(literal -4 binary64)) #s(literal -2 binary64)))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(+.f64 (/.f64 #s(literal 4/9 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 26/81 binary64) (.f64 x (*.f64 x x))))))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -4/9 binary64) (/.f64 #s(literal 26/81 binary64) x)) x) #s(literal -2/3 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 3) (- (pow x 3) 2)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 3) (- (pow x 3) 2)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow x 6)
(.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 6) (- (+ 1 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))))))
(pow x 6)
(.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 6) (- 1 (* 2 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1 (* -1 (/ (- 2 (/ 1 (pow x 3))) (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))))))

rewrite484.0ms (5.9%)

Memory

21.4MiB live, 700.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 898×	`lower-*.f32`
5 880×	`lower-*.f64`
3 930×	`lower-fma.f32`
3 918×	`lower-fma.f64`
3 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	340
0	75	248
1	342	238
2	3199	238
0	9688	225

Stop Event

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

Counts

18 → 479

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(*.f64 x #s(literal 1/7 binary64))
(.f64 x (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(+.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))) x)
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(pow.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(+.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) x) (.f64 x x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) x (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (-.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))

eval272.0ms (3.3%)

Memory: -0.9MiB live, 267.9MiB allocated
Compiler: Compiled 49 144 to 3 543 computations (92.8% saved)

prune119.0ms (1.5%)

Memory

15.6MiB live, 219.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	928	2	930
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	930	8	938

Accuracy

100.0%

Counts

938 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
✓	98.9%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 156 to 83 computations (46.8% saved)

simplify393.0ms (4.8%)

Memory

-1.6MiB live, 707.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))
✓	cost-diff	0	#s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	0	(log1p.f64 (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))

Rules

14 982×	`lower-fma.f32`
14 970×	`lower-fma.f64`
3 744×	`lower-*.f32`
3 726×	`lower-*.f64`
2 822×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	463
0	69	442
1	155	432
2	457	427
3	1684	422
4	4529	422
0	8327	417

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
#s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))
(.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))
#s(literal 4 binary64)
(*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(fma.f64 x x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

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

localize134.0ms (1.6%)

Memory

21.8MiB live, 248.5MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

74.0ms

256×

valid

Compiler

Compiled 502 to 41 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 24.0ms (42% of total)

ival-add: 19.0ms (33.2% of total)

ival-div: 5.0ms (8.7% of total)

ival-log1p: 5.0ms (8.7% of total)

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

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

exact: 1.0ms (1.7% of total)

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

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

series10.0ms (0.1%)

Memory

-8.1MiB live, 26.5MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))>
#<alt (log1p.f64 (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))>
#<alt (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))>
#<alt #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))))>
#<alt (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))>
#<alt (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))>
#<alt (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))>
#<alt (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))>
#<alt (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))>
#<alt (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))>
#<alt (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -8 x) 12)) 8)) 4))>
#<alt (* -4 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 4 (* 8 (/ 1 x)))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))))>
#<alt (* -4 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 4 (* 8 (/ 1 x)))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 8 (pow x 2)))) x)) 4))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 x)))>
#<alt (* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))>
#<alt (* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 2 x)))))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 3 (pow x 2))))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 2 (/ 1 x))) x)) 2) x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 8 x)))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 8 x)))))))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 12 (pow x 2))))))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))>
#<alt (* (pow x 6) (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) x)) 8) x))))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (+ (* x (+ (* x x) x)) x) (+ (* x (+ (* x x) x)) x))
0.0ms	x	@	0	(* x (+ (* x (+ (* x -2) -2)) -2))
0.0ms	x	@	0	(* 1/2 (- (log (+ 1 (/ (neg (* 4 (* (+ (* x (+ (* x x) x)) x) (+ (* x (+ (* x x) x)) x)))) (* (+ (* x (* x x)) -1) (+ (* x (* x x)) -1))))) (log (+ 1 (/ (* (* 2 x) (+ (* x x) (+ x 1))) (+ (* x (* x x)) -1))))))
0.0ms	x	@	-inf	(* 1/2 (- (log (+ 1 (/ (neg (* 4 (* (+ (* x (+ (* x x) x)) x) (+ (* x (+ (* x x) x)) x)))) (* (+ (* x (* x x)) -1) (+ (* x (* x x)) -1))))) (log (+ 1 (/ (* (* 2 x) (+ (* x x) (+ x 1))) (+ (* x (* x x)) -1))))))
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x -2) -2)) -2))

simplify381.0ms (4.6%)

Memory

12.2MiB live, 584.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 692×	`lower-fma.f64`
10 692×	`lower-fma.f32`
3 660×	`lower-*.f64`
3 660×	`lower-*.f32`
3 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1688
1	913	1646
2	2408	1628
3	5633	1612
0	8197	1520

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -8 x) 12)) 8)) 4))
(* -4 (pow x 6))
(* -1 (* (pow x 6) (+ 4 (* 8 (/ 1 x)))))
(* (pow x 6) (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4))
(* (pow x 6) (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))))
(* -4 (pow x 6))
(* -1 (* (pow x 6) (+ 4 (* 8 (/ 1 x)))))
(* (pow x 6) (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4))
(* (pow x 6) (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 8 (pow x 2)))) x)) 4))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 2 x)))))))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 3 (pow x 2))))))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 2 (/ 1 x))) x)) 2) x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 8 x)))))))
(* 4 (pow x 6))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 12 (pow x 2))))))
(* 4 (pow x 6))
(* (pow x 6) (+ 4 (* 8 (/ 1 x))))
(* (pow x 6) (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))))
(* (pow x 6) (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 8 (/ 1 x))) x)) 8) x))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f64 x (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
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(+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 26/81 binary64) (.f64 x x))) (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 4/9 binary64) (.f64 x x))))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 26/81 binary64) x)) x)) x))

rewrite502.0ms (6.1%)

Memory

-5.3MiB live, 521.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`lower-*.f32`
5 242×	`lower-*.f64`
3 304×	`lower-/.f32`
3 298×	`lower-/.f64`
3 296×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	339
0	69	275
1	315	259
2	2846	259
0	8508	259

Stop Event

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

Counts

13 → 228

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
#s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))))
(neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))
(.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))
(.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))
(log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))

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

eval76.0ms (0.9%)

Memory: 10.4MiB live, 126.2MiB allocated
Compiler: Compiled 21 834 to 1 719 computations (92.1% saved)

prune98.0ms (1.2%)

Memory

-12.9MiB live, 100.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	381	1	382
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	382	8	390

Accuracy

100.0%

Counts

390 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)) #s(literal -4 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
✓	98.9%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 456 to 162 computations (64.5% saved)

regimes19.0ms (0.2%)

Memory

-3.0MiB live, 41.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)) #s(literal -4 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))))

Outputs

(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx (* (* 2 x) (- (neg x) (+ (* x x) 1))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))

Calls

4 calls:

6.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
4.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.1%)

Memory

-11.3MiB live, 27.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))

Outputs

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

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.6%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

-16.5MiB live, 20.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))

Calls

4 calls:

4.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

-20.3MiB live, 18.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

3.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	x
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.3%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.3%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	x
1.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify13.0ms (0.2%)

Memory

-35.5MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	162
1	71	162
2	74	162
3	76	162
4	77	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(approx ( (* 2 x) (- (neg x) (+ (* x x) 1))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))

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

soundness973.0ms (11.9%)

Memory

11.0MiB live, 685.3MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
10 526×	`lower-fma.f64`
10 526×	`lower-fma.f32`
5 792×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2001
1	961	1954
2	2512	1919
3	6121	1898
0	8211	1791
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	40	279
0	67	261
1	269	261
2	2176	261
0	9130	249
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28

Stop Event

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

Compiler

Compiled 260 to 118 computations (54.6% saved)

preprocess97.0ms (1.2%)

Memory: 29.0MiB live, 105.8MiB allocated
Compiler: Compiled 212 to 94 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

analyze2.0ms (0%)

sample351.0ms (4.3%)

preprocess25.0ms (0.3%)

explain124.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize28.0ms (0.3%)

series8.0ms (0.1%)

simplify888.0ms (10.8%)

rewrite282.0ms (3.4%)

eval27.0ms (0.3%)

prune27.0ms (0.3%)

simplify348.0ms (4.2%)

localize134.0ms (1.6%)

series11.0ms (0.1%)

simplify524.0ms (6.4%)

rewrite520.0ms (6.3%)

eval120.0ms (1.5%)

prune91.0ms (1.1%)

simplify345.0ms (4.2%)

localize258.0ms (3.2%)

series16.0ms (0.2%)

simplify421.0ms (5.1%)

rewrite484.0ms (5.9%)

eval272.0ms (3.3%)

prune119.0ms (1.5%)

simplify393.0ms (4.8%)

localize134.0ms (1.6%)

series10.0ms (0.1%)

simplify381.0ms (4.6%)

rewrite502.0ms (6.1%)

eval76.0ms (0.9%)

prune98.0ms (1.2%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify13.0ms (0.2%)

soundness973.0ms (11.9%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35