Metrics for ln(1 + x)

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample378.0ms (4.1%)

Memory

49.4MiB live, 467.7MiB allocated

Samples

211.0ms	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-log1p: 79.0ms (89.7% of total)

ival-true: 6.0ms (6.8% of total)

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

Bogosity

preprocess18.0ms (0.2%)

Memory

-16.8MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain50.0ms (0.5%)

Memory

-11.0MiB live, 69.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	165	0

Confusion

	Predicted +	Predicted -
+	165	0
-	0	91

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	165	0	0
-	0	0	91

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	91
1	165

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

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

ival-log1p: 5.0ms (58.4% of total)

ival-add: 3.0ms (35% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.4%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f32`
2×	`lower-log1p.f32`
2×	`lift-+.f64`
2×	`lower-+.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	9	9
0	9	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	39.4%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-log1p: 2.0ms (47.3% of total)

ival-add: 1.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) x)>

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

Calls

6 calls:

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

simplify573.0ms (6.2%)

Memory

-0.8MiB live, 436.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
2 868×	`lower-+.f64`
2 868×	`lower-+.f32`
2 630×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 21

Calls

Call 1

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

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

rewrite893.0ms (9.7%)

Memory

-10.7MiB live, 510.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 606×	`lower-fma.f64`
6 606×	`lower-fma.f32`
4 022×	`lower-/.f64`
4 022×	`lower-/.f32`
3 648×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5

Stop Event

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

Counts

2 → 344

Calls

Call 1

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

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

eval85.0ms (0.9%)

Memory: -10.8MiB live, 102.7MiB allocated
Compiler: Compiled 11 150 to 1 116 computations (90% saved)

prune41.0ms (0.4%)

Memory

36.1MiB live, 113.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	362	3	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	3	366

Accuracy

100.0%

Counts

366 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	64.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify12.0ms (0.1%)

Memory

-13.7MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

212×	`lower-fma.f32`
206×	`lower-fma.f64`
138×	`lower-*.f32`
134×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	22	54
1	35	54
2	51	54
3	83	54
4	138	54
5	147	54
6	198	54
7	199	54
0	199	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

-3.4MiB live, 109.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	64.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (57.7% of total)

ival-add: 4.0ms (17.8% of total)

ival-log1p: 3.0ms (13.3% of total)

const: 3.0ms (13.3% 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%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify373.0ms (4%)

Memory

-30.7MiB live, 498.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
2 398×	`lower--.f64`
2 398×	`lower--.f32`
2 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	717
1	223	675
2	567	660
3	1788	654
4	4406	642
5	7002	642
0	8026	591

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite572.0ms (6.2%)

Memory

73.8MiB live, 680.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 190×	`lower-fma.f32`
8 184×	`lower-fma.f64`
4 668×	`lower-*.f32`
4 664×	`lower-*.f64`
2 644×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	22	48
1	83	48
2	569	48
3	6151	48
0	8034	48

Stop Event

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

Counts

8 → 351

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))))))
(neg.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))))
(neg.f64 (/.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) x))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))))))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)))))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (log1p.f64 (.f64 (.f64 x (neg.f64 x)) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x)))) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))

eval83.0ms (0.9%)

Memory: -32.7MiB live, 185.0MiB allocated
Compiler: Compiled 12 449 to 1 037 computations (91.7% saved)

prune90.0ms (1%)

Memory

14.3MiB live, 132.1MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	424	18	442
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	425	20	445

Accuracy

100.0%

Counts

445 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
	65.2%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))
	65.3%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))
	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
	64.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))) (.f64 x x) x))
	65.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))) (.f64 x x) x))
	65.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
▶	64.9%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
	65.3%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))) (.f64 x x) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	65.2%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
	64.7%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
▶	65.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
	33.5%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))))))
	4.9%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
▶	3.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))

Compiler

Compiled 800 to 436 computations (45.5% saved)

simplify487.0ms (5.3%)

Memory

-1.0MiB live, 714.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
✓	cost-diff	320	(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	cost-diff	0	#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
✓	cost-diff	128	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
✓	cost-diff	128	(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))

Rules

15 400×	`lower-fma.f32`
15 382×	`lower-fma.f64`
4 718×	`lower-+.f32`
4 716×	`lower-+.f64`
4 504×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	424
0	80	428
1	162	420
2	380	414
3	1463	414
4	3712	414
5	6353	402
0	8193	375

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
#s(literal -1/2 binary64)
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
#s(literal 1/4 binary64)
(.f64 #s(literal -1/9 binary64) (.f64 x x))
#s(literal -1/9 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
(fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
(fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))
(.f64 (.f64 x x) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
#s(literal 1/8 binary64)
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/9 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))
#s(literal -1/6 binary64)
#s(literal 1/4 binary64)

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
#s(literal -1/9 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) #s(approx (+ ( x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64))) x))
(fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
(fma.f64 (.f64 x x) #s(approx (+ ( x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64))) x)
#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x))
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(*.f64 x x)
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) x))
(fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
(fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) x)
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(*.f64 x x)
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))
(.f64 (.f64 x x) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
#s(literal 1/8 binary64)
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))
(*.f64 x #s(literal 1/9 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))
#s(literal -1/6 binary64)
#s(literal 1/4 binary64)

localize287.0ms (3.1%)

Memory

23.0MiB live, 406.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/27 binary64))
✓	accuracy	73.4%	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
✓	accuracy	98.9%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
✓	accuracy	100.0%	(fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
✓	accuracy	36.9%	#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	64.7%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	accuracy	38.2%	#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.5%	(.f64 #s(literal -1/9 binary64) (.f64 x x))
✓	accuracy	81.6%	(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))

Samples

183.0ms	231×	0	valid
17.0ms	13×	3	valid
6.0ms	6×	2	valid
6.0ms	6×	1	valid

Compiler

Compiled 336 to 50 computations (85.1% saved)

Precisions

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

ival-add: 91.0ms (54.3% of total)

ival-mult: 31.0ms (18.5% of total)

const: 26.0ms (15.5% of total)

ival-div: 9.0ms (5.4% of total)

adjust: 5.0ms (3% of total)

ival-log1p: 3.0ms (1.8% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series20.0ms (0.2%)

Memory

-47.8MiB live, 19.0MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))>
#<alt (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))>
#<alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))>
#<alt #s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))>
#<alt #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))>
#<alt #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))>
#<alt (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)>
#<alt #s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)>
#<alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))>
#<alt (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))>
#<alt #s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))>
#<alt (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)>
#<alt (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))>
#<alt (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))>
#<alt (.f64 #s(literal -1/9 binary64) (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/27 binary64))>
#<alt (*.f64 x #s(literal 1/9 binary64))>

Outputs
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* -1/3 x) 1/2)>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (* -1/9 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* -1/9 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/6 x))>
#<alt (+ 1/4 (* x (- (* 1/9 x) 1/6)))>
#<alt (+ 1/4 (* x (- (* 1/9 x) 1/6)))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/9 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/9 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 8/9 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 8/9 (* 16/27 x))) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 8/9 (* x (+ 16/27 (* -64/243 (pow x 2)))))) 2))>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 27/4 (/ 1 (pow x 2)))))>
#<alt (* x (+ 3 (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) (pow x 2)))))>
#<alt (* x (- (+ 3 (* 729/32 (/ 1 (pow x 5)))) (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3)))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 27/4 (/ 1 (pow x 2))) 3)))>
#<alt (* -1 (* x (- (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3))) 3)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 729/32 (/ 1 (pow x 2))) 81/8) (pow x 3))) (* 27/4 (/ 1 (pow x 2)))) 3)))>
#<alt -2>
#<alt (- (* -4/3 x) 2)>
#<alt (- (* x (- (* -8/9 x) 4/3)) 2)>
#<alt (- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)>
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt -1/4>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* x (- (* 8/9 x) 4/3)))>
#<alt (+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/27 (pow x 2))>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (* x (* x (+ (* (* x x) 1/9) -1/4))) (/ 1 (+ (* x 1/3) 1/2))) x)
1.0ms	x	@	inf	(/ 1 (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))))
1.0ms	x	@	-inf	(+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x)
0.0ms	x	@	0	(/ 1 (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))))
0.0ms	x	@	inf	(+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x)

simplify456.0ms (4.9%)

Memory

26.8MiB live, 561.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 070×	`lower-fma.f64`
9 070×	`lower-fma.f32`
4 246×	`lower-*.f64`
4 246×	`lower-*.f32`
2 260×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2336
1	741	2258
2	1909	2225
3	5818	2194
0	8247	2013

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

Calls

Call 1

Inputs
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
-1/2
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
1/4
(+ 1/4 (* -1/9 (pow x 2)))
(+ 1/4 (* -1/9 (pow x 2)))
(+ 1/4 (* -1/9 (pow x 2)))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* -1/4 x)
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 3))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
1/4
(+ 1/4 (* -1/6 x))
(+ 1/4 (* x (- (* 1/9 x) 1/6)))
(+ 1/4 (* x (- (* 1/9 x) 1/6)))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/9 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/9 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
(* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 8/9 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 8/9 (* 16/27 x))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 8/9 (* x (+ 16/27 (* -64/243 (pow x 2)))))) 2))
(* 3 x)
(* x (- 3 (* 27/4 (/ 1 (pow x 2)))))
(* x (+ 3 (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) (pow x 2)))))
(* x (- (+ 3 (* 729/32 (/ 1 (pow x 5)))) (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3)))))
(* 3 x)
(* -1 (* x (- (* 27/4 (/ 1 (pow x 2))) 3)))
(* -1 (* x (- (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3))) 3)))
(* -1 (* x (- (+ (* -1 (/ (- (* 729/32 (/ 1 (pow x 2))) 81/8) (pow x 3))) (* 27/4 (/ 1 (pow x 2)))) 3)))
-2
(- (* -4/3 x) 2)
(- (* x (- (* -8/9 x) 4/3)) 2)
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
2
(+ 2 (* -4/3 x))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(/ 3 x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/ 3 x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/27 (pow x 2))
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 x) 1/2)
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(- (* -1/3 x) 1/2)
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(- (* -1/3 x) 1/2)
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/9 (pow x 2)))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* -1/9 (pow x 2)))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* -1/9 (pow x 2)))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.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 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
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(fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))
(- (* x (- (* -8/9 x) 4/3)) 2)
(fma.f64 x (fma.f64 x #s(literal -8/9 binary64) #s(literal -4/3 binary64)) #s(literal -2 binary64))
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal -8/9 binary64)) #s(literal -4/3 binary64)) #s(literal -2 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 81/8 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -9/2 binary64) (/.f64 (+.f64 #s(literal -27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x)) x)) x)
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(* -1/9 (pow x 2))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
-1/4
#s(literal -1/4 binary64)
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 8/9 binary64) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal 8/9 binary64)) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x) (/.f64 #s(literal -81/8 binary64) (.f64 x (.f64 x x))))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x) #s(literal -9/2 binary64)) x)) x)
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/27 (pow x 2))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))

rewrite984.0ms (10.7%)

Memory

9.2MiB live, 516.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 062×	`lower-fma.f32`
5 044×	`lower-fma.f64`
4 450×	`lower-*.f32`
4 434×	`lower-*.f64`
3 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	326
0	80	327
1	352	281
2	2980	281
0	8559	250

Stop Event

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

Counts

26 → 562

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
(fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
(fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/27 binary64))
(*.f64 x #s(literal 1/9 binary64))

Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal 1/64 binary64)) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64))) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal 1/64 binary64))) (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(.f64 #s(literal -1/9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/9 binary64))
(.f64 (.f64 x #s(literal -1/9 binary64)) x)
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) #s(literal -1/4 binary64))
(-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) #s(literal 1/4 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x #s(literal 1/9 binary64)) x #s(literal -1/4 binary64))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/3 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) x #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(.f64 x (.f64 x #s(literal 1/27 binary64)))
(.f64 (.f64 x x) #s(literal 1/27 binary64))
(.f64 #s(literal 1/27 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/27 binary64)) x)
(*.f64 x #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) x)

eval191.0ms (2.1%)

Memory: 6.5MiB live, 371.0MiB allocated
Compiler: Compiled 32 392 to 2 404 computations (92.6% saved)

prune279.0ms (3%)

Memory

-12.4MiB live, 345.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 112	6	1 118
Fresh	10	3	13
Picked	3	2	5
Done	0	2	2
Total	1 125	13	1 138

Accuracy

100.0%

Counts

1 138 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
	65.7%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) (*.f64 x x) x))
▶	65.7%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	64.7%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	65.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
▶	4.9%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
▶	3.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
✓	3.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))

Compiler

Compiled 273 to 153 computations (44% saved)

simplify631.0ms (6.8%)

Memory

-18.5MiB live, 954.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
✓	cost-diff	0	#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓	cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	#s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	640	(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Rules

28 356×	`lower-fma.f32`
28 346×	`lower-fma.f64`
7 300×	`lower-+.f64`
7 300×	`lower-+.f32`
6 502×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	364
0	85	362
1	169	338
2	346	336
3	1090	336
4	3368	336
5	5007	336
6	5326	336
7	5550	336
8	5814	336
9	5996	336
10	6060	336
11	6384	336
12	6384	336
0	9677	305

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
x
(.f64 #s(literal 1/3 binary64) (.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
x
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))))
x
(.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
#s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
x
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
x
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) x))
(fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) x)
(.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))))
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))
x
(.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)

localize159.0ms (1.7%)

Memory

25.6MiB live, 212.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
✓	accuracy	98.9%	(fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
✓	accuracy	64.7%	#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
✓	accuracy	38.7%	#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓	accuracy	38.5%	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) x)
✓	accuracy	64.7%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	38.2%	#s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))

Samples

103.0ms

256×

valid

Compiler

Compiled 230 to 54 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 36.0ms (43.2% of total)

ival-div: 17.0ms (20.4% of total)

ival-add: 14.0ms (16.8% of total)

const: 12.0ms (14.4% of total)

ival-log1p: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series9.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))>
#<alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))>
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))>
#<alt #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))>
#<alt #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))>
#<alt (.f64 (.f64 #s(literal -1/2 binary64) x) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))>
#<alt #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))>
#<alt (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 x x))>
#<alt #s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))>
#<alt #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))>
#<alt (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))>
#<alt (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)>
#<alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))>
#<alt (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))))>
#<alt (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (.f64 x (.f64 x #s(literal 1/3 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))>
#<alt #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt -1/4>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* x (- (* 8/9 x) 4/3)))>
#<alt (+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))>

Calls

75 calls:

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

simplify326.0ms (3.5%)

Memory

13.7MiB live, 446.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 236×	`lower-fma.f64`
10 236×	`lower-fma.f32`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
2 778×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2219
1	435	2141
2	1078	2116
3	3293	2082
0	8362	1914

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* -1/4 x)
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 3))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
2
(+ 2 (* -4/3 x))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(/ 3 x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/ 3 x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
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#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 8/9 binary64) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal 8/9 binary64)) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x) #s(literal -9/2 binary64)) x)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x) #s(literal -9/2 binary64)) x)) x)

rewrite307.0ms (3.3%)

Memory

22.8MiB live, 559.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 598×	`lower-fma.f32`
4 588×	`lower-fma.f64`
4 150×	`lower-/.f32`
4 148×	`lower-/.f64`
4 148×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	341
0	85	337
1	353	315
2	2577	315
0	8266	286

Stop Event

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

Counts

25 → 245

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(*.f64 #s(literal -1/2 binary64) x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))))
(.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))

Outputs
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64))))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)))))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (-.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (-.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))))) (neg.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64))))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64))))))) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))) (neg.f64 (neg.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/9 binary64))))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x))))
(pow.f64 (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))) #s(literal -1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) x))))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
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(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
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(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (.f64 x #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64)))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval66.0ms (0.7%)

Memory: -4.1MiB live, 147.8MiB allocated
Compiler: Compiled 9 874 to 707 computations (92.8% saved)

prune62.0ms (0.7%)

Memory

11.9MiB live, 167.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	522	13	535
Fresh	0	4	4
Picked	3	2	5
Done	1	3	4
Total	526	22	548

Accuracy

100.0%

Counts

548 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
	66.3%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
	65.7%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) (*.f64 x x) x))
	65.7%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x))
	66.3%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x) (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
	38.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) #s(approx (/ 1 (+ (* x 1/3) 1/2)) (/.f64 #s(literal 3 binary64) x)) x))
	64.7%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
	4.9%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x -1/2) 1) (.f64 x #s(literal -1/2 binary64))) x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	65.7%	#s(approx (log (+ 1 x)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	4.9%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
	4.9%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
✓	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓	3.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
✓	3.8%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))

Compiler

Compiled 1 023 to 331 computations (67.6% saved)

regimes38.0ms (0.4%)

Memory

-9.6MiB live, 69.0MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x -1/2) 1) (.f64 x #s(literal -1/2 binary64))) x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) #s(approx (/ 1 (+ (* x 1/3) 1/2)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x) (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

13.0ms	(+.f64 #s(literal 1 binary64) x)
11.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
11.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.4%)

Memory

-8.6MiB live, 68.3MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x -1/2) 1) (.f64 x #s(literal -1/2 binary64))) x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) #s(approx (/ 1 (+ (* x 1/3) 1/2)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (+.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x) (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x))

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))

Calls

3 calls:

12.0ms	x
10.0ms	(+.f64 #s(literal 1 binary64) x)
9.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
66.3%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes59.0ms (0.6%)

Memory

-34.1MiB live, 30.7MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x -1/2) 1) (.f64 x #s(literal -1/2 binary64))) x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x (.f64 x #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) #s(approx (/ 1 (+ (* x 1/3) 1/2)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) (*.f64 x x) x))

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

Calls

3 calls:

6.0ms	x
5.0ms	(+.f64 #s(literal 1 binary64) x)
5.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
65.8%	1	`x`
65.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
65.8%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.5%	1	`x`
65.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
65.5%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

-19.5MiB live, 19.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* x (* (* x x) 1/27)) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.7%	1	`x`
64.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
64.7%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
3.8%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	88
1	45	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))

Outputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))

soundness1.5s (15.9%)

Memory

31.3MiB live, 745.3MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
9 070×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	341
0	85	337
1	353	315
2	2577	315
0	8266	286
0	14	48
0	22	48
1	83	48
2	569	48
3	6151	48
0	8034	48
0	269	2336
1	741	2258
2	1909	2225
3	5818	2194
0	8247	2013
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5
0	80	717
1	223	675
2	567	660
3	1788	654
4	4406	642
5	7002	642
0	8026	591
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

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

Compiler

Compiled 145 to 77 computations (46.9% saved)

preprocess68.0ms (0.7%)

Memory: 31.9MiB live, 169.1MiB allocated
Compiler: Compiled 150 to 62 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample378.0ms (4.1%)

preprocess18.0ms (0.2%)

explain50.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize14.0ms (0.2%)

series1.0ms (0%)

simplify573.0ms (6.2%)

rewrite893.0ms (9.7%)

eval85.0ms (0.9%)

prune41.0ms (0.4%)

simplify12.0ms (0.1%)

localize50.0ms (0.5%)

series4.0ms (0%)

simplify373.0ms (4%)

rewrite572.0ms (6.2%)

eval83.0ms (0.9%)

prune90.0ms (1%)

simplify487.0ms (5.3%)

localize287.0ms (3.1%)

series20.0ms (0.2%)

simplify456.0ms (4.9%)

rewrite984.0ms (10.7%)

eval191.0ms (2.1%)

prune279.0ms (3%)

simplify631.0ms (6.8%)

localize159.0ms (1.7%)

series9.0ms (0.1%)

simplify326.0ms (3.5%)

rewrite307.0ms (3.3%)

eval66.0ms (0.7%)

prune62.0ms (0.7%)

regimes38.0ms (0.4%)

regimes34.0ms (0.4%)

regimes59.0ms (0.6%)

regimes11.0ms (0.1%)

regimes22.0ms (0.2%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness1.5s (15.9%)

preprocess68.0ms (0.7%)

end0.0ms (0%)

Profiling