Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample405.0ms (10.3%)

Memory

22.9MiB live, 475.2MiB allocated

Samples

236.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-log1p: 76.0ms (89.2% of total)

ival-true: 6.0ms (7% of total)

ival-assert: 3.0ms (3.5% of total)

Bogosity

explain50.0ms (1.3%)

Memory

-12.4MiB live, 63.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
174	-	-	`(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	174	0

Confusion

	Predicted +	Predicted -
+	174	0
-	0	82

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	174	0	0
-	0	0	82

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	82
1	174

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log1p: 5.0ms (58.9% of total)

ival-add: 3.0ms (35.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	9	11
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)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.9%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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	2	(log.f64 (+.f64 #s(literal 1 binary64) x))

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

localize78.0ms (2%)

Memory

-22.8MiB live, 20.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	40.372349740562754	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

10.0ms

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 (47.4% 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

2.3MiB live, 2.3MiB allocated

Counts

2 → 15

Calls

Call 1

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

Outputs
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
(+ 1 x)
(* -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)))
(* x (+ 1 (/ 1 x)))
(+ (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))))

Calls

3 calls:

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

simplify153.0ms (3.9%)

Memory

25.4MiB live, 138.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	146
1	185	132
2	441	130
3	1195	125
4	3049	121
5	6396	121
0	8382	117

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

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

rewrite193.0ms (4.9%)

Memory

-22.1MiB live, 180.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	23	7
2	126	7
3	944	7
0	9430	5

Stop Event

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

Counts

2 → 271

Calls

Call 1

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

Outputs
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 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 (-.f64 (.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)))) (.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 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 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))) (.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
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(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (.f64 x (fma.f64 x x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval39.0ms (1%)

Memory: 7.8MiB live, 44.6MiB allocated
Compiler: Compiled 7 172 to 1 040 computations (85.5% saved)

prune5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	4	285

Accuracy

100.0%

Counts

285 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	68.1%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	69.0%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	68.0%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify193.0ms (4.9%)

Memory

-2.3MiB live, 115.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 x)
cost-diff	0	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	1	(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	1	(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	38	131
1	54	131
2	102	131
3	199	131
4	486	131
5	1178	131
6	2243	131
7	3342	131
8	3739	131
9	4414	131
10	4918	131
11	5768	131
12	6407	131
13	6857	131
14	7219	131
15	7593	131
16	7723	131
0	8185	124

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (2.8%)

Memory

-15.1MiB live, 96.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(log1p.f64 x)
accuracy	0.02734375	(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.03515625	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.21484375	(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy	20.408309873463583	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.04296875	(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0546875	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.2734375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	19.80652403505299	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	20.46261523420408	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Samples

82.0ms

256×

valid

Compiler

Compiled 120 to 24 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 53.0ms (75.9% of total)

ival-sub: 6.0ms (8.6% of total)

ival-add: 4.0ms (5.7% of total)

const: 4.0ms (5.7% of total)

ival-log1p: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series7.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

14 → 54

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify145.0ms (3.7%)

Memory

10.4MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	545
1	381	511
2	1111	509
3	4059	488
0	8298	466

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

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

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

rewrite736.0ms (18.8%)

Memory

-32.6MiB live, 244.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	38	114
1	136	114
2	952	114
0	8425	114

Stop Event

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

Counts

14 → 332

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) x (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 x (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 x (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) x) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) x))
(+.f64 (.f64 x (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 x (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
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(fma.f64 x (.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))
(log1p.f64 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)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (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 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (.f64 x (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x x) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))) x (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))) x))
(fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal -1/4 binary64) (.f64 x x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 x (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))) (.f64 x (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x))))))
(fma.f64 x (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (*.f64 #s(literal -1/4 binary64) x)))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))) x) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) x))
(+.f64 (.f64 x (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x))))) (.f64 x (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))

eval99.0ms (2.5%)

Memory: 11.4MiB live, 125.6MiB allocated
Compiler: Compiled 12 966 to 1 695 computations (86.9% saved)

prune7.0ms (0.2%)

Memory

24.0MiB live, 23.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	375	5	380

Accuracy

100.0%

Counts

380 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
▶	68.0%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
▶	69.0%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	68.1%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	69.0%	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 59 to 46 computations (22% saved)

simplify91.0ms (2.3%)

Memory

-2.6MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	27	92
1	46	92
2	105	92
3	255	92
4	584	92
5	1253	92
6	1958	92
7	2408	92
8	2582	92
9	3018	92
10	3020	92
11	3020	92
12	3220	92
13	3756	92
0	3756	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize125.0ms (3.2%)

Memory

1.2MiB live, 71.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
accuracy	20.46261523420408	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.06640625	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
accuracy	19.80652403505299	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.01171875	(.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x)
accuracy	20.46261523420408	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x))
accuracy	20.72518209403742	#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))

Samples

115.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 83.0ms (81.4% of total)

ival-mult: 10.0ms (9.8% of total)

const: 6.0ms (5.9% of total)

ival-log1p: 3.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

10 → 35

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

1.0ms

-inf

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

1.0ms

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

simplify261.0ms (6.7%)

Memory

-6.5MiB live, 128.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	289
1	264	275
2	671	273
3	2091	264
4	6490	264
0	8391	244

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

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

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

rewrite387.0ms (9.9%)

Memory

-8.5MiB live, 224.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	27	84
1	105	84
2	716	84
3	7377	84
0	8160	75

Stop Event

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

Counts

10 → 282

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x))
(.f64 (.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))))
(.f64 x #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 4 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) (-.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
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(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval63.0ms (1.6%)

Memory: 14.3MiB live, 85.7MiB allocated
Compiler: Compiled 10 073 to 1 325 computations (86.8% saved)

prune8.0ms (0.2%)

Memory

-11.4MiB live, 27.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	311	5	316

Accuracy

100.0%

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	68.0%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	69.0%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	68.1%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	69.0%	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( -1/2 x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 148 to 85 computations (42.6% saved)

regimes8.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

3.0ms	x
2.0ms	(+.f64 #s(literal 1 binary64) x)
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) 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 8 to 8 computations (0% saved)

regimes69.0ms (1.8%)

Memory

-35.3MiB live, 15.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
69.0%	1	`x`
69.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
69.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -1.0b remaining (-4.8%)

Threshold costs -1b (-4.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`x`
69.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
69.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

simplify9.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	21	30
2	27	30
3	36	30
4	48	30
5	48	30

Stop Event

1×

saturated

Calls

Call 1

Inputs

(log1p.f64 x)

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

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

Outputs

(log1p.f64 x)

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

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

soundness573.0ms (14.6%)

Memory

-19.5MiB live, 186.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	545
1	381	511
2	1111	509
3	4059	488
0	8298	466
0	62	146
1	185	132
2	441	130
3	1195	125
4	3049	121
5	6396	121
0	8382	117
0	4	7
0	6	7
1	23	7
2	126	7
3	944	7
0	9430	5

Stop Event

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

preprocess79.0ms (2%)

Memory: 18.4MiB live, 54.0MiB allocated
Compiler: Compiled 106 to 62 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample405.0ms (10.3%)

explain50.0ms (1.3%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize78.0ms (2%)

series1.0ms (0%)

simplify153.0ms (3.9%)

rewrite193.0ms (4.9%)

eval39.0ms (1%)

prune5.0ms (0.1%)

simplify193.0ms (4.9%)

localize111.0ms (2.8%)

series7.0ms (0.2%)

simplify145.0ms (3.7%)

rewrite736.0ms (18.8%)

eval99.0ms (2.5%)

prune7.0ms (0.2%)

simplify91.0ms (2.3%)

localize125.0ms (3.2%)

series3.0ms (0.1%)

simplify261.0ms (6.7%)

rewrite387.0ms (9.9%)

eval63.0ms (1.6%)

prune8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes69.0ms (1.8%)

regimes4.0ms (0.1%)

simplify9.0ms (0.2%)

soundness573.0ms (14.6%)

preprocess79.0ms (2%)

end0.0ms (0%)

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