Metrics for Rust f64::atanh

analyze2.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample370.0ms (5.6%)

Memory

0.5MiB live, 542.3MiB allocated

Samples

205.0ms	8 256×	0	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-atanh: 79.0ms (90.3% of total)

ival-true: 5.0ms (5.7% of total)

ival-assert: 3.0ms (3.4% of total)

Bogosity

preprocess22.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB 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))))

explain95.0ms (1.4%)

Memory

-32.8MiB live, 141.0MiB 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

46.0ms

512×

valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (34% of total)

ival-div: 4.0ms (22.7% of total)

ival-sub: 3.0ms (17% of total)

ival-log1p: 3.0ms (17% of total)

exact: 1.0ms (5.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

simplify16.0ms (0.2%)

Memory

-22.2MiB live, 20.1MiB 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)

localize27.0ms (0.4%)

Memory

5.7MiB live, 44.4MiB 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%	(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))

Samples

15.0ms

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: 3.0ms (34.4% of total)

ival-div: 2.0ms (22.9% of total)

ival-log1p: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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
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)
0.0ms	x	@	-inf	(* 2 x)

simplify600.0ms (9.1%)

Memory

14.4MiB live, 565.5MiB 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))

rewrite295.0ms (4.5%)

Memory

8.8MiB live, 365.5MiB 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 (0.4%)

Memory: -10.0MiB live, 64.5MiB allocated
Compiler: Compiled 5 051 to 805 computations (84.1% saved)

prune23.0ms (0.3%)

Memory

19.4MiB live, 57.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	5	210

Accuracy

100.0%

Counts

210 → 5

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))))
▶	98.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
▶	99.5%	#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))
▶	99.4%	#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 63 to 36 computations (42.9% saved)

simplify732.0ms (11.2%)

Memory

-14.6MiB live, 431.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

10 320×	`lower-fma.f32`
10 308×	`lower-fma.f64`
2 744×	`lower-*.f32`
2 734×	`lower-*.f64`
1 530×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	212
0	45	194
1	87	194
2	167	194
3	343	194
4	685	194
5	793	194
6	879	194
7	1352	194
8	2024	194
9	3010	194
10	3813	194
11	5288	194
12	6255	194
13	7230	194
14	7326	194
15	7351	194
16	7405	194
17	7409	194
18	7409	194
19	7409	194
20	7598	194
21	7702	194
22	7702	194
23	7702	194
24	7702	194
25	7702	194
26	7702	194
27	7748	194
0	8007	184

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 #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))
#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) #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)

Outputs
#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))
#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))
#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 x (.f64 (.f64 x 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 x (.f64 (.f64 x 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) #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)

localize102.0ms (1.6%)

Memory

6.3MiB live, 201.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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	98.8%	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 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	99.5%	#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	99.4%	(*.f64 x #s(literal 1/7 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	99.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Samples

54.0ms

256×

valid

Compiler

Compiled 174 to 30 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47.7% of total)

const: 8.0ms (20.1% of total)

ival-add: 6.0ms (15.1% of total)

ival-div: 2.0ms (5% of total)

ival-log1p: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<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 #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 #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 (*.f64 x #s(literal 1/7 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 (* 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 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 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 (* 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)>

Calls

42 calls:

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

simplify305.0ms (4.6%)

Memory

0.9MiB live, 519.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 958×	`lower-fma.f64`
10 958×	`lower-fma.f32`
4 146×	`lower-*.f64`
4 146×	`lower-*.f32`
1 950×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1420
1	405	1361
2	1075	1351
3	3019	1348
4	6938	1348
0	8323	1250

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 161

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 (* 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)))
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))))))
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)
(* 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)

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

rewrite357.0ms (5.4%)

Memory

-7.8MiB live, 597.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 752×	`lower-fma.f32`
5 740×	`lower-fma.f64`
4 010×	`lower-/.f64`
4 010×	`lower-/.f32`
3 882×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	45	164
1	183	164
2	1392	164
0	8462	154

Stop Event

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

Counts

14 → 257

Calls

Call 1

Inputs
#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))
#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 #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))
(*.f64 x #s(literal 1/7 binary64))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x))
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(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 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x))) (neg.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))))
(.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
(+.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))) (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x) x x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/15 binary64))))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/15 binary64))))) x)
(fma.f64 (.f64 (fma.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal -1/3 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)))
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(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #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 #s(literal 2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.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 x #s(literal -2 binary64)))
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)

eval99.0ms (1.5%)

Memory: -1.9MiB live, 110.8MiB allocated
Compiler: Compiled 15 206 to 902 computations (94.1% saved)

prune129.0ms (2%)

Memory

-31.9MiB live, 102.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	549	1	550
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	549	6	555

Accuracy

100.0%

Counts

555 → 6

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))))
✓	98.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	99.5%	#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))
✓	99.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
▶	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))

Compiler

Compiled 87 to 50 computations (42.5% saved)

simplify277.0ms (4.2%)

Memory

47.4MiB live, 395.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x 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)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))
✓	cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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)))

Rules

8 154×	`lower-fma.f32`
8 148×	`lower-fma.f64`
2 668×	`lower-*.f32`
2 660×	`lower-*.f64`
1 544×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	136
0	35	118
1	74	118
2	174	118
3	468	118
4	1167	118
5	1598	118
6	1788	118
7	2212	118
8	3003	118
9	4024	118
10	5068	118
11	7614	118
0	8141	116

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))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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 (.f64 x 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)
(.f64 x (.f64 x x))
x
(*.f64 x 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))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(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)

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

localize104.0ms (1.6%)

Memory

-2.8MiB live, 153.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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)))
✓	accuracy	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))
✓	accuracy	99.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))

Samples

60.0ms

256×

valid

Compiler

Compiled 128 to 26 computations (79.7% saved)

Precisions

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

ival-mult: 15.0ms (41.2% of total)

const: 9.0ms (24.7% of total)

ival-div: 5.0ms (13.7% of total)

ival-add: 3.0ms (8.2% of total)

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

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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)))>
#<alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))>
#<alt (fma.f64 (.f64 x (.f64 x 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)>
#<alt (*.f64 x #s(literal 1/7 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 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 (* 1/7 (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 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 (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (/ 7 (pow x 7))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))>
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ 7 (pow x 7))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))>
#<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 (* 1/7 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 (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

18 calls:

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

simplify319.0ms (4.9%)

Memory

-7.4MiB live, 543.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 600×	`lower-fma.f64`
10 600×	`lower-fma.f32`
3 076×	`lower-*.f64`
3 076×	`lower-*.f32`
2 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	754
1	372	732
2	917	727
3	2495	726
4	5471	726
0	8172	687

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

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))))))))
(* 1/7 (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)))))))
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)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/ 7 (pow x 7))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ 7 (pow x 7))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
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)))))))
(* 1/7 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)
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

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 x (.f64 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)
(* 1/7 (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 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 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 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 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)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal -1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 1/7 binary64)))
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 x (.f64 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 (/.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 1/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x 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))
(*.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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 #s(literal -49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 (-.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 196/75 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 196/75 binary64) (/.f64 #s(literal 8428/375 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 49/5 binary64)) #s(literal 7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 #s(literal -49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 (-.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 196/75 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 196/75 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal 7 binary64) (/.f64 #s(literal -8428/375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
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 x (.f64 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)
(* 1/7 (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 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 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 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 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)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal -1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x 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))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* 1/7 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* 1/7 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))

rewrite338.0ms (5.1%)

Memory

38.1MiB live, 739.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 406×	`lower-fma.f32`
6 400×	`lower-fma.f64`
4 184×	`lower-*.f32`
4 176×	`lower-*.f64`
3 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
0	35	90
1	154	90
2	1136	90
0	8477	88

Stop Event

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

Counts

6 → 296

Calls

Call 1

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

Outputs
(+.f64 x (.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)))))
(+.f64 x (neg.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (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))))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (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))))))
(+.f64 (.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)
(+.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (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)))) (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))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (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))) (neg.f64 x)))))
(+.f64 (+.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (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)
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (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)
(exp.f64 (log.f64 (fma.f64 (.f64 x (.f64 x 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)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x (.f64 x 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)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x 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)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (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)))) (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))) (neg.f64 x))) (/.f64 (.f64 x x) (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))) (neg.f64 x))))
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(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x 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) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x 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) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x 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) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x 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) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (.f64 (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)) (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))))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.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))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (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)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x 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) (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))) (neg.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))) (neg.f64 x))))
(.f64 (/.f64 (fma.f64 x (-.f64 x (.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))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (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))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x (.f64 x 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) (fma.f64 x (-.f64 x (.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))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (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)))))))
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x #s(literal 1/5 binary64)))
(+.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x))))
(fma.f64 x #s(literal 1/5 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 x #s(literal 1/5 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/7 binary64)) (*.f64 x #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/7 binary64) (*.f64 x #s(literal 1/5 binary64)))
(fma.f64 (.f64 x #s(literal 1/7 binary64)) (.f64 x x) (*.f64 x #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) x (*.f64 x #s(literal 1/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x #s(literal 1/5 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 #s(literal -1/5 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (*.f64 x #s(literal 1/5 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 #s(literal -1/5 binary64) x)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) x) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (*.f64 x #s(literal 1/5 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (*.f64 #s(literal -1/5 binary64) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) x)) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)))) (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))))) (-.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x #s(literal 1/5 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64)) (.f64 #s(literal -1/5 binary64) x))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))

eval262.0ms (4%)

Memory: -69.1MiB live, 86.2MiB allocated
Compiler: Compiled 17 937 to 979 computations (94.5% saved)

prune40.0ms (0.6%)

Memory

20.0MiB live, 96.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	364	1	365
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	365	6	371

Accuracy

100.0%

Counts

371 → 6

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))))
✓	98.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	99.5%	#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))
✓	99.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
▶	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))

Compiler

Compiled 86 to 48 computations (44.2% saved)

simplify348.0ms (5.3%)

Memory

3.7MiB live, 442.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
✓	cost-diff	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))

Rules

10 436×	`lower-fma.f32`
10 430×	`lower-fma.f64`
4 124×	`lower-*.f32`
4 120×	`lower-*.f64`
1 518×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	210
0	46	204
1	106	204
2	264	204
3	682	204
4	1497	204
5	1786	204
6	1882	204
7	2532	204
8	3063	204
9	3793	204
10	4564	204
11	6044	204
12	7337	204
0	8017	193

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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
#s(literal -44/945 binary64)
#s(literal -4/45 binary64)
#s(literal -1/3 binary64)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
#s(literal -44/945 binary64)
#s(literal -4/45 binary64)
#s(literal -1/3 binary64)

localize120.0ms (1.8%)

Memory

5.6MiB live, 130.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
✓	accuracy	99.5%	#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))

Samples

92.0ms

256×

valid

Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

const: 24.0ms (29.4% of total)

ival-log1p: 22.0ms (26.9% of total)

ival-mult: 20.0ms (24.5% of total)

ival-div: 8.0ms (9.8% of total)

ival-add: 7.0ms (8.6% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))>
#<alt #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))>
#<alt (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 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 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (/ 7 (pow x 7))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))>
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ 7 (pow x 7))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))>
#<alt (* -4/45 x)>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* -44/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -44/945) -4/45))) -1/3)) 1) x)
0.0ms	x	@	inf	(* x (+ (* (* x x) -44/945) -4/45))
0.0ms	x	@	0	(* x (+ (* (* x x) -44/945) -4/45))
0.0ms	x	@	-inf	(/ (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -44/945) -4/45))) -1/3)) 1) x)
0.0ms	x	@	0	(/ (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -44/945) -4/45))) -1/3)) 1) x)

simplify423.0ms (6.4%)

Memory

8.4MiB live, 398.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 350×	`lower-fma.f64`
12 350×	`lower-fma.f32`
4 022×	`lower-*.f64`
4 022×	`lower-*.f32`
3 190×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	724
1	440	709
2	1240	701
3	3661	698
0	8243	659

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/ 7 (pow x 7))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ 7 (pow x 7))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
(* -4/45 x)
(* x (- (* -44/945 (pow x 2)) 4/45))
(* x (- (* -44/945 (pow x 2)) 4/45))
(* x (- (* -44/945 (pow x 2)) 4/45))
(* -44/945 (pow x 3))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 (pow x 3))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))

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 x (.f64 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)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.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 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 (.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)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 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 -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 x (.f64 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)
(* 1/7 (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 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 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 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 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 x (.f64 x (.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 (+.f64 #s(literal -49/5 binary64) (/.f64 #s(literal -196/75 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (+.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -196/75 binary64) (/.f64 #s(literal -8428/375 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(/.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(/.f64 (+.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (.f64 x x))) (/.f64 #s(literal -196/75 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/.f64 (+.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -196/75 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8428/375 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(* -44/945 (pow x 5))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) #s(literal -44/945 binary64))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -44/945 binary64) (/.f64 (-.f64 #s(literal -4/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -44/945 (pow x 5))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) #s(literal -44/945 binary64))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -44/945 binary64) (+.f64 (/.f64 #s(literal -4/45 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -4/45 x)
(*.f64 x #s(literal -4/45 binary64))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -44/945 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -44/945 binary64))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -44/945 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -44/945 binary64))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))

rewrite483.0ms (7.4%)

Memory

-6.7MiB live, 425.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 820×	`lower-fma.f32`
4 814×	`lower-fma.f64`
4 248×	`lower-/.f32`
4 244×	`lower-/.f64`
4 048×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	169
0	46	163
1	229	163
2	1779	163
0	8284	152

Stop Event

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

Counts

5 → 108

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))))
(pow.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -64/91125 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (-.f64 (.f64 (.f64 x #s(literal -4/45 binary64)) (.f64 x #s(literal -4/45 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (*.f64 x #s(literal -4/45 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64)))) (.f64 (.f64 x #s(literal -4/45 binary64)) (.f64 x #s(literal -4/45 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (.f64 x #s(literal -4/45 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64)) #s(literal -64/91125 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1936/893025 binary64) #s(literal 16/2025 binary64)) (.f64 (*.f64 x x) #s(literal 176/42525 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1936/893025 binary64) #s(literal -16/2025 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal 4/45 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64)) #s(literal -64/91125 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1936/893025 binary64) #s(literal 16/2025 binary64)) (.f64 (*.f64 x x) #s(literal 176/42525 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1936/893025 binary64) #s(literal -16/2025 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal 4/45 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64))))) (fma.f64 (.f64 x #s(literal -4/45 binary64)) (.f64 x #s(literal -4/45 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -44/945 binary64)))) (.f64 (.f64 x #s(literal -4/45 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -44/945 binary64)))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) x)

eval34.0ms (0.5%)

Memory: 4.8MiB live, 40.5MiB allocated
Compiler: Compiled 5 808 to 577 computations (90.1% saved)

prune52.0ms (0.8%)

Memory

7.6MiB live, 53.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	166	6	172

Accuracy

100.0%

Counts

172 → 6

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))))
✓	98.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
✓	99.5%	#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))
✓	99.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))

Compiler

Compiled 190 to 85 computations (55.3% saved)

regimes12.0ms (0.2%)

Memory

2.0MiB live, 39.7MiB allocated

Counts

7 → 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))
#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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))
(.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 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	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)

regimes11.0ms (0.2%)

Memory

-1.2MiB live, 37.4MiB 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))
#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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)) x)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x 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))))

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:

4.0ms	(/.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	(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)

regimes9.0ms (0.1%)

Memory

-14.1MiB live, 24.9MiB 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:

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	(/.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)

regimes9.0ms (0.1%)

Memory

-20.5MiB live, 22.6MiB 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:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.4%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.4%	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

19.9MiB live, 19.9MiB 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	(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))
1.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
98.8%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0.1%)

Memory

-18.1MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-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	33	104
1	43	104
2	47	104
3	49	104
4	50	104

Stop Event

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))))
#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 (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 (.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))
#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)))

soundness457.0ms (7%)

Memory

0.3MiB live, 245.8MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 89 to 40 computations (55.1% saved)

preprocess38.0ms (0.6%)

Memory: -1.6MiB live, 120.6MiB allocated
Compiler: Compiled 140 to 62 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%)

sample370.0ms (5.6%)

preprocess22.0ms (0.3%)

explain95.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize27.0ms (0.4%)

series4.0ms (0.1%)

simplify600.0ms (9.1%)

rewrite295.0ms (4.5%)

eval27.0ms (0.4%)

prune23.0ms (0.3%)

simplify732.0ms (11.2%)

localize102.0ms (1.6%)

series8.0ms (0.1%)

simplify305.0ms (4.6%)

rewrite357.0ms (5.4%)

eval99.0ms (1.5%)

prune129.0ms (2%)

simplify277.0ms (4.2%)

localize104.0ms (1.6%)

series3.0ms (0%)

simplify319.0ms (4.9%)

rewrite338.0ms (5.1%)

eval262.0ms (4%)

prune40.0ms (0.6%)

simplify348.0ms (5.3%)

localize120.0ms (1.8%)

series3.0ms (0%)

simplify423.0ms (6.4%)

rewrite483.0ms (7.4%)

eval34.0ms (0.5%)

prune52.0ms (0.8%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

simplify8.0ms (0.1%)

soundness457.0ms (7%)

preprocess38.0ms (0.6%)

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