Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze173.0ms (1.3%)

Memory

7.0MiB live, 365.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	7
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	8
39.3%	34.3%	53%	0.1%	0%	12.5%	0%	9
52.7%	45.2%	40.6%	0.1%	0%	14%	0%	10
52.7%	45.2%	40.6%	0.1%	0%	14%	0%	11
56%	47.6%	37.4%	0.1%	0%	14.8%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.0s (30%)

Memory

48.0MiB live, 3 305.1MiB allocated

Samples

1.9s	4 668×	1	valid
733.0ms	3 588×	0	valid
373.0ms	670×	1	invalid
220.0ms	1 595×	1	exit
96.0ms	653×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-pow: 1.1s (45.6% of total)

ival-e: 482.0ms (19.5% of total)

ival-log1p: 238.0ms (9.6% of total)

ival-mult: 232.0ms (9.4% of total)

ival-sub: 231.0ms (9.3% of total)

adjust: 142.0ms (5.7% of total)

ival-true: 9.0ms (0.4% of total)

exact: 8.0ms (0.3% of total)

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain584.0ms (4.4%)

Memory

-21.6MiB live, 464.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
173	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
157	44	(-1.0073170700268658e-243 3.499046922281895e-250 8.018758826215084e-206)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
21	0	-	1	(-3.481752321689971e+307 -4.3414643353020863e-75 3.4809955547470036e-245)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	198	0
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	37	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	20	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	oflow-rescue	3	0
↳	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`	overflow	3
↳	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`	overflow	3
↳	`(pow.f64 (E.f64) x)`	overflow	3
↳	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	overflow	3

Confusion

	Predicted +	Predicted -
+	182	0
-	47	27

Precision

0.7947598253275109

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	182	0	0
-	47	0	27

Precision?

0.7947598253275109

Recall?

1.0

Freqs

test

number	freq
0	27
1	200
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

203.0ms	340×	1	valid
17.0ms	172×	0	valid

Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-pow: 94.0ms (48.7% of total)

adjust: 57.0ms (29.5% of total)

ival-e: 15.0ms (7.8% of total)

ival-mult: 10.0ms (5.2% of total)

ival-log1p: 8.0ms (4.1% of total)

ival-sub: 4.0ms (2.1% of total)

ival-add: 4.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess124.0ms (0.9%)

Memory

-5.7MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	117
1	95	113
2	175	113
3	458	113
4	951	113
5	1526	113
6	2352	113
7	2728	113
8	2934	113
9	3003	113
10	3053	113
11	3080	113
12	3111	113
13	3116	113
14	3119	113
15	3121	113
0	11	12
0	18	12
1	27	12
2	34	12
3	46	12
4	55	12
5	69	12
6	100	12
7	154	12
8	278	12
9	403	12
10	485	12
11	500	12
12	504	12
0	504	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Outputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify17.0ms (0.1%)

Memory

-7.2MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
cost-diff	0	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
cost-diff	64	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	403	51
10	485	51
11	500	51
12	504	51
0	504	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

Outputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

localize74.0ms (0.6%)

Memory

14.4MiB live, 132.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(pow.f64 (E.f64) x)
accuracy	4.9516247736554275	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	35.222879004576235	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	40.435498940776085	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

55.0ms	170×	1	valid
9.0ms	86×	0	valid

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 19.0ms (43.4% of total)

ival-e: 7.0ms (16% of total)

ival-mult: 5.0ms (11.4% of total)

ival-sub: 4.0ms (9.1% of total)

adjust: 4.0ms (9.1% of total)

ival-log1p: 3.0ms (6.8% of total)

ival-add: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series203.0ms (1.5%)

Memory

-4.0MiB live, 360.7MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())

Outputs
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
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#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (pow (E) x) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (* y (- (pow (E) x) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor -inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor -inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor -inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())
#s(alt (pow (E) x) (taylor -inf x) (#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
73.0ms	c	@	0	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
39.0ms	x	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
25.0ms	c	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
19.0ms	x	@	-inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
13.0ms	c	@	-inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify349.0ms (2.6%)

Memory

-251.4MiB live, 236.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1930
1	1018	1746
2	3394	1720
0	8432	1561

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(pow (E) x)
(pow (E) x)

Outputs
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rewrite151.0ms (1.1%)

Memory

21.5MiB live, 255.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
0	18	46
1	70	46
2	454	40
3	4960	40
0	8940	25

Stop Event

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

Counts

6 → 363

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)

Outputs
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eval70.0ms (0.5%)

Memory: -0.5MiB live, 158.3MiB allocated
Compiler: Compiled 10 272 to 2 170 computations (78.9% saved)

prune28.0ms (0.2%)

Memory

-9.4MiB live, 73.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	477	18	495
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	478	18	496

Accuracy

98.8%

Counts

496 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	33.7%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))))
	51.8%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	24.5%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
	79.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
	45.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
	30.8%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
▶	31.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
	31.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
	33.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
	22.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	40.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
	43.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	38.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	50.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
▶	45.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
▶	39.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
▶	55.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))

Compiler

Compiled 802 to 486 computations (39.4% saved)

simplify169.0ms (1.3%)

Memory

5.3MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
cost-diff	64	(pow.f64 (E.f64) x)
cost-diff	192	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
cost-diff	6464	(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
cost-diff	128	(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
cost-diff	320	(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
cost-diff	0	(*.f64 y c)
cost-diff	0	(.f64 (.f64 y c) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 y (expm1.f64 x))
cost-diff	0	(log1p.f64 (*.f64 y (expm1.f64 x)))
cost-diff	0	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	501
0	95	498
1	183	492
2	502	492
3	1908	492
4	3260	419
5	5066	419
0	8657	394

Stop Event

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

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 (.f64 y c) x)
(*.f64 y c)
y
c
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
(.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)
(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
(.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
c
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
(.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
(.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
c
(.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
#s(literal -1/2 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)

Outputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 y c) x)
(.f64 (.f64 c y) x)
(*.f64 y c)
(*.f64 c y)
y
c
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c))
(.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)
(.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c)
(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
(.f64 (fma.f64 (.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) c)
(.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
(.f64 (.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) c)
c
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 y (fma.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y c)
(*.f64 c y)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)) y) (expm1.f64 x) #s(literal 1 binary64)) (expm1.f64 x)) (*.f64 c y)))
(.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)) y) (expm1.f64 x) #s(literal 1 binary64)) (expm1.f64 x)) (*.f64 c y))
(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)) y) (expm1.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 x) c))
(.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)) c) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
c
(.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(expm1.f64 x)
(pow.f64 (E.f64) x)
(exp.f64 x)
(E.f64)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
#s(literal -1/2 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(*.f64 (expm1.f64 x) c)

localize292.0ms (2.2%)

Memory

-8.1MiB live, 551.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0679823724022823	(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
accuracy	6.138644665619743	(.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
accuracy	13.774167294016591	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
accuracy	40.435498940776085	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	0.02734375	(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
accuracy	4.9516247736554275	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
accuracy	17.887688515352085	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
accuracy	35.222879004576235	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
accuracy	4.36419017595335	(.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)
accuracy	5.5567494947709	(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
accuracy	12.544102857163319	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
accuracy	26.42466767118025	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
accuracy	0	(*.f64 y c)
accuracy	6.137505471337894	(.f64 (.f64 y c) x)
accuracy	26.66222757531952	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0	(expm1.f64 x)
accuracy	0.00390625	(*.f64 y (expm1.f64 x))
accuracy	0.7301267896335618	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	4.9516247736554275	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

197.0ms	168×	1	valid
35.0ms	88×	0	valid

Compiler

Compiled 883 to 100 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 91.0ms (46.8% of total)

ival-pow: 28.0ms (14.4% of total)

adjust: 14.0ms (7.2% of total)

ival-e: 14.0ms (7.2% of total)

ival-add: 13.0ms (6.7% of total)

const: 11.0ms (5.7% of total)

ival-expm1: 7.0ms (3.6% of total)

ival-log1p: 6.0ms (3.1% of total)

ival-pow2: 4.0ms (2.1% of total)

ival-sub: 4.0ms (2.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series328.0ms (2.5%)

Memory

5.7MiB live, 561.0MiB allocated

Counts

21 → 576

Calls

Call 1

Inputs
#s(alt (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (patch (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 y (expm1.f64 x))) (patch (log1p.f64 (.f64 y (expm1.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 y (expm1.f64 x)) (patch (.f64 y (expm1.f64 x)) #<representation binary64>) () ())
#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y c) x) (patch (.f64 (.f64 y c) x) #<representation binary64>) () ())
#s(alt (.f64 y c) (patch (.f64 y c) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) (patch (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)) #<representation binary64>) () ())
#s(alt (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) (patch (.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))) (patch #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) (patch (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (E.f64) x) (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) (patch (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) #<representation binary64>) () ())
#s(alt (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (patch (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) (patch (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) (patch (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c)) x) #<representation binary64>) () ())) ())
#s(alt (* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (taylor -inf x) (#s(alt (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (taylor -inf x) (#s(alt (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (taylor -inf x) (#s(alt (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (taylor -inf x) (#s(alt (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
124.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
56.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
34.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
30.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
27.0ms	c	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))

simplify256.0ms (1.9%)

Memory

38.2MiB live, 228.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	875	10448
1	3222	10159
0	8306	9055

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 575

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c y)
(* c y)
(* c y)
(* c y)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c y)
(* c y)
(* c y)
(* c y)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c y)
(* c y)
(* c y)
(* c y)
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))))
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))

Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c y)
(*.f64 y c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))) x y) x) c)
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/2 (* (pow x 2) y))
(.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y x)) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))
(- (pow (E) x) 1)
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(- (pow (E) x) 1)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(- (pow (E) x) 1)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
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(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow (E) x)
(pow.f64 (E.f64) x)
(pow (E) x)
(pow.f64 (E.f64) x)
(pow (E) x)
(pow.f64 (E.f64) x)
(pow (E) x)
(pow.f64 (E.f64) x)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* 1/6 (* c (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))))
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(* -1 (* (pow x 3) (+ (* -1/2 (/ (* c (- y (pow y 2))) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
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(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))

rewrite274.0ms (2.1%)

Memory

-16.2MiB live, 315.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	340
0	95	340
1	357	335
2	2770	335
0	10104	306

Stop Event

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

Counts

21 → 498

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 (.f64 y c) x)
(*.f64 y c)
(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
(.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)
(.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))

Outputs
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eval324.0ms (2.4%)

Memory: 5.6MiB live, 478.0MiB allocated
Compiler: Compiled 48 109 to 5 467 computations (88.6% saved)

prune78.0ms (0.6%)

Memory

5.5MiB live, 162.9MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 384	23	1 407
Fresh	8	5	13
Picked	3	2	5
Done	0	0	0
Total	1 395	30	1 425

Accuracy

98.9%

Counts

1 425 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	60.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	61.6%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
▶	62.5%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	17.5%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
	4.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	43.6%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
	69.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
	50.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	33.7%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))))
	51.8%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	24.5%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
▶	79.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
▶	45.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
	1.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
	22.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) x) (.f64 c (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) x) y))))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
✓	55.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
▶	57.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	26.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
	52.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	28.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
	39.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))) y))
	46.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
▶	47.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
	50.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
	24.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y) (.f64 (.f64 (.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))))))

Compiler

Compiled 1 415 to 895 computations (36.7% saved)

simplify203.0ms (1.5%)

Memory

-1.3MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
cost-diff	64	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))
cost-diff	640	(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* y (- (exp x) 1)) (*.f64 x y))
cost-diff	0	(log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)))
cost-diff	0	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
cost-diff	320	(fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))
cost-diff	320	(fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (.f64 c x) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
cost-diff	0	(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
cost-diff	0	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	529
0	106	504
1	190	485
2	444	446
3	2184	446
4	3663	446
5	5557	446
0	8186	411

Stop Event

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

Calls

Call 1

Inputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
c
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))
(.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
(.f64 (.f64 c x) y)
(*.f64 c x)
c
x
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))))
(fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))
#s(literal 1/6 binary64)
c
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)
(*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
y
#s(literal -1/2 binary64)
x
(fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))
#s(literal 1/2 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 y c))
(*.f64 y c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)))
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
(*.f64 x y)
x
y
c
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))
(+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))
#s(literal 1 binary64)
(.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)
(expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
y

Outputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y))) c)
c
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y)))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y))
(.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))
(.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y)
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 (.f64 c x) y)
(.f64 (.f64 x c) y)
(*.f64 c x)
(*.f64 x c)
c
x
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (.f64 c (fma.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)) y))
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (.f64 c (fma.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)) y)
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x))
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (.f64 c (fma.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)
(.f64 (.f64 c (fma.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c)
(*.f64 c (fma.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)
(fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)
#s(literal 1/6 binary64)
c
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)
(*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
y
#s(literal -1/2 binary64)
x
(fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) c)
#s(literal 1/2 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 y c))
(.f64 (.f64 y c) #s(literal -1/2 binary64))
(*.f64 y c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)))
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
(*.f64 x y)
x
y
c
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)
(*.f64 (expm1.f64 x) y)
(expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
x
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
y

localize342.0ms (2.6%)

Memory

10.0MiB live, 434.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
accuracy	0.31640625	(*.f64 x #s(literal 1/3 binary64))
accuracy	4.9516247736554275	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
accuracy	34.98085005271513	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))
accuracy	0	(*.f64 x y)
accuracy	0.48809783777245186	(log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)))
accuracy	4.9516247736554275	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
accuracy	19.49274271220344	#s(approx (* y (- (exp x) 1)) (*.f64 x y))
accuracy	4.847250792423208	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c)
accuracy	9.450148798839866	(fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))))
accuracy	13.547705454007357	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
accuracy	15.16877267570757	#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x))
accuracy	0	(*.f64 c x)
accuracy	3.504133741569279	(.f64 (.f64 c x) y)
accuracy	26.42534877980788	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.18890390629507223	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
accuracy	4.9516247736554275	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
accuracy	5.822818604958252	(log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))
accuracy	7.748086418099571	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

206.0ms	168×	1	valid
80.0ms	87×	0	valid
5.0ms	1×	1	exit

Compiler

Compiled 885 to 109 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 66.0ms (26% of total)

ival-add: 51.0ms (20.1% of total)

ival-pow: 33.0ms (13% of total)

adjust: 22.0ms (8.7% of total)

ival-e: 21.0ms (8.3% of total)

ival-expm1: 16.0ms (6.3% of total)

ival-log1p: 15.0ms (5.9% of total)

const: 13.0ms (5.1% of total)

ival-pow2: 8.0ms (3.1% of total)

ival-sub: 8.0ms (3.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series394.0ms (3%)

Memory

31.5MiB live, 756.0MiB allocated

Counts

23 → 636

Calls

Call 1

Inputs
#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))) (patch (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))) #<representation binary64>) () ())
#s(alt (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (patch (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())
#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) (patch (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) (patch (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)) #<representation binary64>) () ())
#s(alt (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (patch (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y))) (patch (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))) #<representation binary64>) () ())
#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) (patch (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) (patch #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/6 (* y (- (* 1/3 y) 1/2)))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) (patch (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/6 (* y (- (* 1/3 y) 1/2)))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) (patch (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/6 (* y (- (* 1/3 y) 1/2)))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) (patch (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/6 (* y (- (* 1/3 y) 1/2)))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) (patch (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (* -1/2 y))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) (patch (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (* -1/2 y))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) (patch (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (* -1/2 y))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) (patch (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1/2 (* -1/2 y))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) (patch (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
91.0ms	c	@	0	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) (+ (* 1/2 c) (* -1/2 (* y c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (* x y) (* (* x 1/3) 3) (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)) (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y))) (* c (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* x 1/3))
73.0ms	x	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) (+ (* 1/2 c) (* -1/2 (* y c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (* x y) (* (* x 1/3) 3) (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)) (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y))) (* c (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* x 1/3))
68.0ms	x	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) (+ (* 1/2 c) (* -1/2 (* y c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (* x y) (* (* x 1/3) 3) (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)) (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y))) (* c (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* x 1/3))
54.0ms	c	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) (+ (* 1/2 c) (* -1/2 (* y c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (* x y) (* (* x 1/3) 3) (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)) (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y))) (* c (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* x 1/3))
46.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) (+ (* 1/2 c) (* -1/2 (* y c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (* x y) (* (* x 1/3) 3) (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)) (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y))) (* c (log (+ 1 (* (- (exp (* (* x 1/3) 3)) 1) y)))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* x 1/3))

simplify256.0ms (1.9%)

Memory

0.5MiB live, 256.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	11977
1	3383	11465
0	8441	9460

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 623

Calls

Call 1

Inputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
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(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
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(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (+ (* c (* y (- (* 1/3 y) 1/2))) (/ c (pow x 2)))))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (+ (* c (* y (- (* 1/3 y) 1/2))) (/ c (pow x 2)))))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* x (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
x
(+ 1 (* y (- (exp x) 1)))
(+ 1 (* y (- (exp x) 1)))
(+ 1 (* y (- (exp x) 1)))
(+ 1 (* y (- (exp x) 1)))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
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(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)

Outputs
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)
(* c (+ 1/2 (* -1/2 y)))
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(* c (+ 1/2 (* -1/2 y)))
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(* c (+ 1/2 (* -1/2 y)))
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(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
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(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
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(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (* x y))
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(* x y)
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x
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(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
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rewrite175.0ms (1.3%)

Memory

4.1MiB live, 229.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	358
0	106	365
1	412	280
2	3403	280
0	8561	253

Stop Event

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

Counts

23 → 486

Calls

Call 1

Inputs
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(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
(.f64 (.f64 c x) y)
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(fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c))))
(fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))
(fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
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(+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y)))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
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#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (.f64 y c)))) x c)
(*.f64 x #s(literal 1/3 binary64))

Outputs
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eval213.0ms (1.6%)

Memory: 26.1MiB live, 290.7MiB allocated
Compiler: Compiled 36 038 to 3 843 computations (89.3% saved)

prune158.0ms (1.2%)

Memory

-31.1MiB live, 184.2MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1 093	16	1 109
Fresh	7	16	23
Picked	2	3	5
Done	0	2	2
Total	1 102	37	1 139

Accuracy

98.9%

Counts

1 139 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
	31.2%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
	48.0%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
▶	56.3%	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
✓	91.2%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	60.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	61.6%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
▶	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
✓	62.5%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	17.5%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
	4.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
	43.6%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
	69.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
▶	50.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	24.5%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
	28.1%	(.f64 c (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 (log.f64 (*.f64 (expm1.f64 x) y))))))
✓	45.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
	1.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
	22.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
	13.9%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) x) (.f64 c (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) x) y))))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
✓	55.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	57.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	26.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
	52.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	28.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
	39.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (fma.f64 (fma.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))) y))
	37.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
	50.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
▶	52.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
	57.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
	52.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
	18.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
	19.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
	24.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y) (.f64 (.f64 (.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))))))

Compiler

Compiled 1 723 to 1 117 computations (35.2% saved)

simplify154.0ms (1.2%)

Memory

19.6MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))))
cost-diff	0	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff	0	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
cost-diff	0	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
cost-diff	320	(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))
cost-diff	640	(fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
cost-diff	0	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
cost-diff	0	(*.f64 (expm1.f64 x) y)
cost-diff	0	(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
cost-diff	320	(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	863
0	134	850
1	257	831
2	563	791
3	1854	757
4	3370	756
5	5180	756
0	8373	687

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 (expm1.f64 x) y)
(expm1.f64 x)
x
y
#s(literal 3 binary64)
c
(.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)
(neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)))
(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))
(.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)
(*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x))
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
x
y
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y)
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x))
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)
(fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c)
#s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c))))
(fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))
(fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)))
(*.f64 #s(literal 1/3 binary64) c)
#s(literal 1/3 binary64)
(*.f64 x y)
y
(*.f64 #s(literal -1/2 binary64) (fma.f64 x c c))
#s(literal -1/2 binary64)
(fma.f64 x c c)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
y
#s(approx (- (exp x) 1) (*.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)
c
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
(-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))))
(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))
(-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 2 binary64))
#s(literal 2 binary64)
c

Outputs
(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y))) c)
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 (expm1.f64 x) y)
(expm1.f64 x)
x
y
#s(literal 3 binary64)
c
(.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y)))
(neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)))
(neg.f64 (log1p.f64 (.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y)))
(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y))
(.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)
(.f64 (.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) y)
(*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (expm1.f64 x) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y)
(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y)
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x))
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x))
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)
(fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c)
(fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c)
#s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c))))
#s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c))
(fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))
(*.f64 c (fma.f64 y (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c)
(*.f64 #s(literal 1/3 binary64) c)
#s(literal 1/3 binary64)
(*.f64 x y)
(*.f64 y x)
y
(*.f64 #s(literal -1/2 binary64) (fma.f64 x c c))
(*.f64 (fma.f64 c x c) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 x c c)
(fma.f64 c x c)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))
(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)
y
#s(approx (- (exp x) 1) (*.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)
c
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))) c)
(-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x)))))
(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)))
(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64)))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
#s(approx (* y (- (exp x) 1)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 3 binary64)
(log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))
(log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))
(-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))
(-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x)))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 y x)) #s(literal 2 binary64))
#s(literal 2 binary64)
c

localize531.0ms (4%)

Memory

29.9MiB live, 760.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.9516247736554275	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
accuracy	5.822818604958252	(log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))
accuracy	7.748086418099571	(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)))
accuracy	19.49274271220344	#s(approx (* y (- (exp x) 1)) (*.f64 x y))
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	0.48809783777245186	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
accuracy	4.9516247736554275	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
accuracy	20.353352780730837	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	2.3916518516859293	(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))
accuracy	4.847250792423208	(fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c)
accuracy	13.547705454007357	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
accuracy	15.16877267570757	#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x))
accuracy	0	(*.f64 x y)
accuracy	4.9516247736554275	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
accuracy	26.985912160116833	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
accuracy	0.20843515629507225	(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
accuracy	4.9516247736554275	(.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)
accuracy	5.822818604958252	(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))
accuracy	7.748086418099571	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))

Samples

357.0ms	168×	1	valid
54.0ms	87×	0	valid
1.0ms	1×	1	exit

Compiler

Compiled 1 159 to 132 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

ival-mult: 100.0ms (29.3% of total)

ival-add: 68.0ms (19.9% of total)

ival-pow: 54.0ms (15.8% of total)

ival-e: 34.0ms (10% of total)

adjust: 24.0ms (7% of total)

ival-log1p: 18.0ms (5.3% of total)

const: 13.0ms (3.8% of total)

ival-expm1: 12.0ms (3.5% of total)

ival-pow2: 9.0ms (2.6% of total)

ival-sub: 5.0ms (1.5% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series693.0ms (5.2%)

Memory

-18.3MiB live, 906.4MiB allocated

Counts

26 → 732

Calls

Call 1

Inputs
#s(alt (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) (patch (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) #<representation binary64>) () ())
#s(alt (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (patch (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (expm1.f64 x) y) (patch (.f64 (expm1.f64 x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (* y (- (exp x) 1)))) (.f64 x y)) (patch #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) (patch (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)))) x c) x)) y)) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y)) #<representation binary64>) () ())
#s(alt (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (patch (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (patch (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y))))) c) (patch (.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y))))) (patch (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) #<representation binary64>) () ())
#s(alt (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (patch (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64)) (patch (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (patch (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c) (patch (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)))) x c) x)) (patch #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)))) x c) (patch (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y)))) (patch (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))) #<representation binary64>) () ())

Outputs
#s(alt (* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))) (taylor 0 c) (#s(alt (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) (patch (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))) (taylor 0 c) (#s(alt (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) (patch (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))) (taylor 0 c) (#s(alt (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) (patch (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))) (taylor 0 c) (#s(alt (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) (patch (fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) (patch (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) (patch (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) (patch (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c)))) x c) (patch (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (* y (- (exp x) 1)) (.f64 x y)) (patch #s(approx ( y (- (exp x) 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y)))) (patch (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y)))) (patch (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y)))) (patch (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 x y)))) (patch (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
264.0ms	c	@	0	((+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* (- (exp x) 1) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) c) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y))) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* (+ (* 1/2 x) 1) x) (* y (- (exp x) 1)) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1))))))
83.0ms	c	@	inf	((+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* (- (exp x) 1) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) c) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y))) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* (+ (* 1/2 x) 1) x) (* y (- (exp x) 1)) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1))))))
82.0ms	x	@	-inf	((+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* (- (exp x) 1) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) c) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y))) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* (+ (* 1/2 x) 1) x) (* y (- (exp x) 1)) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1))))))
80.0ms	c	@	-inf	((+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* (- (exp x) 1) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) c) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y))) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* (+ (* 1/2 x) 1) x) (* y (- (exp x) 1)) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1))))))
59.0ms	x	@	inf	((+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* (- (exp x) 1) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) c) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y))) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (* (+ (* 1/2 x) 1) x) (* y (- (exp x) 1)) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1))))))

simplify246.0ms (1.9%)

Memory

41.5MiB live, 302.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1292	16466
1	4546	15970
0	8249	13010

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 729

Calls

Call 1

Inputs
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
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(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1/3 (* c y)) (* 1/2 c))))
(* -1 (* x (+ (* -1/3 (* c y)) (+ (* 1/2 c) (* 1/2 (/ c x))))))
(* -1 (* x (+ (* -1/3 (* c y)) (+ (* 1/2 c) (* 1/2 (/ c x))))))
(* -1 (* x (+ (* -1/3 (* c y)) (+ (* 1/2 c) (* 1/2 (/ c x))))))
(* -1 (* x (+ (* -1/6 c) (* y (+ (* -1/3 (* c y)) (* 1/2 c))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (+ (* -1/6 c) (* y (+ (* -1/3 (* c y)) (* 1/2 c)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (+ (* -1/6 c) (* y (+ (* -1/3 (* c y)) (* 1/2 c)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (+ (* -1/6 c) (* y (+ (* -1/3 (* c y)) (* 1/2 c)))))))
(* -1 (* x (* y (+ (* -1/3 (* c y)) (* 1/2 c)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (* y (+ (* -1/3 (* c y)) (* 1/2 c))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (* y (+ (* -1/3 (* c y)) (* 1/2 c))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (* y (+ (* -1/3 (* c y)) (* 1/2 c))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
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(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
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(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))

Outputs
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
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(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
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(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c)
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c)
(* c (+ 1/2 (+ (* 1/6 x) (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y)))))))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c)
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64)) c)
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64)) c)
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64)) c)
(* c (+ 1/2 (* y (+ (* -1/2 (+ 1 x)) (* 1/3 (* x y))))))
(.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
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(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))) c)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))) c)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))) c)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))) c)
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
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(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
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(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
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(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)
(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
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(* c (+ (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (* -1 (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))))
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(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(log (+ 1 (* y (- (exp x) 1))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(log (+ 1 (* y (- (exp x) 1))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(log (+ 1 (* y (- (exp x) 1))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
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(log1p.f64 (*.f64 (expm1.f64 x) y))
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(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
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(- (exp x) 1)
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(- (exp x) 1)
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))))
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(-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (*.f64 (neg.f64 y) (expm1.f64 x)))))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1)))))
(-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (*.f64 (neg.f64 y) (expm1.f64 x)))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
(* -1 (* c (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(.f64 (neg.f64 c) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) c)
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(.f64 (.f64 c (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(.f64 (fma.f64 (/.f64 (.f64 y c) x) #s(literal -1/2 binary64) (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 c (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64))))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) (/.f64 (neg.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)))) (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) (/.f64 (neg.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)))) (neg.f64 x))) (*.f64 x x))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
(log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
(log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
(log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))
(log (- (+ 1 (* (pow y 2) (pow (- (exp x) 1) 2))) (* y (- (exp x) 1))))
(log1p.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y) (.f64 (neg.f64 y) (expm1.f64 x))))

rewrite393.0ms (3%)

Memory

-16.6MiB live, 339.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	552
0	134	545
1	580	534
2	4720	534
0	8748	505

Stop Event

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

Counts

26 → 359

Calls

Call 1

Inputs
(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 (expm1.f64 x) y)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
(fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)))
(fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (.f64 #s(literal 1/2 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
(-.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y)))))
(log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64)))
(pow.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)) #s(literal 3 binary64))
(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))
(.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c)
#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x))
(fma.f64 #s(approx (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
(log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))

Outputs
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eval247.0ms (1.9%)

Memory: -24.4MiB live, 391.7MiB allocated
Compiler: Compiled 37 546 to 3 933 computations (89.5% saved)

prune92.0ms (0.7%)

Memory

-6.6MiB live, 229.2MiB allocated

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	1 237	15	1 252
Fresh	6	21	27
Picked	2	3	5
Done	0	5	5
Total	1 245	44	1 289

Accuracy

99.0%

Counts

1 289 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(fma.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c (.f64 c (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
	56.3%	(fma.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))) c))
	48.5%	(fma.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 y (expm1.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
	22.6%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (+.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64))) #s(literal 2 binary64))))
	34.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64)))))
	56.3%	(+.f64 (.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) c) (.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))) c))
	55.8%	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) y) x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
✓	56.3%	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
	40.1%	(.f64 (-.f64 (log1p.f64 #s(approx (pow ( y (- (exp x) 1)) 3) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 3/4 binary64) x #s(literal 5/4 binary64))) x (.f64 #s(literal 3/2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
✓	91.2%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	60.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	61.6%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
✓	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	18.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) c)
✓	62.5%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	69.7%	(.f64 #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)) c)
	17.5%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
	4.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
	43.6%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
✓	50.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	28.1%	(.f64 c (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 (log.f64 (*.f64 (expm1.f64 x) y))))))
✓	45.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
	22.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
	13.9%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
	13.0%	#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) c (neg.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) y)))))
	3.2%	#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (neg.f64 c) (fma.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 y)) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) c)))
	13.8%	#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (neg.f64 c) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) c)))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) x) (.f64 c (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) x) y))))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
✓	55.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	57.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	26.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
	52.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	28.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
	39.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (fma.f64 (fma.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))) y))
	37.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
	50.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	52.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
	57.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
	52.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
	18.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
	19.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
	24.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
	29.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y) (.f64 (.f64 (.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))))))

Compiler

Compiled 2 895 to 1 252 computations (56.8% saved)

regimes221.0ms (1.7%)

Memory

8.5MiB live, 414.1MiB allocated

Counts

73 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y) (.f64 (.f64 (.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) x) (.f64 c (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))) x) y))))
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
(fma.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))) c))
(+.f64 (.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) c) (.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 y x))))) c))
(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) y) x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (fma.f64 (fma.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (E.f64) x)) c (neg.f64 c))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
(.f64 c (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 (log.f64 (*.f64 (expm1.f64 x) y))))))
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
(fma.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
(fma.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c (.f64 c (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
(fma.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 y (expm1.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y))) c))
(.f64 (-.f64 (log1p.f64 #s(approx (pow ( y (- (exp x) 1)) 3) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 3/4 binary64) x #s(literal 5/4 binary64))) x (.f64 #s(literal 3/2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (neg.f64 c) (fma.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 y)) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) c)))
(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (neg.f64 c) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) c)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64)))))
#s(approx (+ (* (log (+ 1 (pow (* (- (exp x) 1) y) 3))) c) (* (neg (log (+ 1 (* (* (+ (* (- (exp x) 1) y) -1) (- (exp x) 1)) y)))) c)) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) c (neg.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) y)))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (+.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (.f64 y x)))) (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (*.f64 y x)) #s(literal 3 binary64))) #s(literal 2 binary64))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (expm1.f64 x)) y)) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))))

Outputs

(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)

#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 (*.f64 x x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))

(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)

Calls

9 calls:

31.0ms	(pow.f64 (E.f64) x)
30.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
26.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
25.0ms	x
23.0ms	c

Results

Accuracy	Segments	Branch
91.2%	1	`c`
94.3%	3	`x`
91.2%	1	`y`
91.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
91.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
91.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
91.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
91.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
91.2%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes161.0ms (1.2%)

Memory

-15.1MiB live, 217.9MiB allocated

Counts

41 → 4

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))

Outputs
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)

Calls

9 calls:

51.0ms	c
23.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
15.0ms	x
13.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
12.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
81.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
81.1%	2	`(pow.f64 (E.f64) x)`
69.7%	1	`c`
69.7%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
69.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
69.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
80.2%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
81.5%	3	`y`
84.3%	4	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes12.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

34 → 4

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) c)

Outputs
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.3%	4	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes59.0ms (0.4%)

Memory

-10.4MiB live, 120.7MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (- (pow (* y (- (exp x) 1)) 2) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)) c)

Outputs

(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)

#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 (*.f64 x x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))

Calls

5 calls:

20.0ms	x
11.0ms	y
10.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
7.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
7.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
76.6%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
69.7%	1	`y`
76.6%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
76.6%	2	`(pow.f64 (E.f64) x)`
76.6%	2	`x`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes97.0ms (0.7%)

Memory

-0.6MiB live, 120.7MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c))) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.f64 (/.f64 (.f64 (-.f64 y (.f64 y y)) c) x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) c) #s(literal 1/6 binary64)))) (*.f64 x x))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) #s(literal 1 binary64)))))

Outputs

#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x))

#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 (*.f64 x x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))

Calls

9 calls:

32.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
10.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
9.0ms	x
8.0ms	y
8.0ms	c

Results

Accuracy	Segments	Branch
60.9%	2	`c`
60.7%	3	`y`
57.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
57.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
57.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.7%	2	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
60.3%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
60.3%	2	`(pow.f64 (E.f64) x)`
60.3%	2	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes23.0ms (0.2%)

Memory

-25.1MiB live, 13.2MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 y y) (*.f64 x x)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) #s(approx (+ (* (* 1/6 c) x) (+ (* (+ (* (* 1/3 c) (* x y)) (* -1/2 (+ (* x c) c))) y) (* 1/2 c))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) y #s(literal 1/2 binary64))) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x (fma.f64 #s(literal 1/2 binary64) c (.f64 #s(literal -1/2 binary64) (*.f64 y c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x) y)) (.f64 y y))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c)) x #s(approx (+ ( 1/2 c) (* -1/2 (* y c))) (.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c)) y))) x c) x)) y))

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
60.7%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Calls

6 calls:

1.0ms	c
1.0ms	y
1.0ms	x
1.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
1.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
57.2%	1	`y`
57.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
57.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
57.2%	1	`(pow.f64 (E.f64) x)`
57.2%	1	`x`
57.2%	1	`c`

Compiler

Compiled 18 to 29 computations (-61.1% saved)

bsearch82.0ms (0.6%)

Memory

-19.7MiB live, 134.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	8.211952248275915e-78	2.3334004262627e-76
38.0ms	2.3490212873238495e-305	6.157218633610686e-303

Samples

55.0ms	215×	1	valid
7.0ms	23×	1	invalid
2.0ms	25×	0	valid

Compiler

Compiled 675 to 511 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-pow: 25.0ms (49.3% of total)

ival-e: 10.0ms (19.7% of total)

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

adjust: 4.0ms (7.9% of total)

ival-log1p: 3.0ms (5.9% of total)

ival-sub: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory

18.8MiB live, 56.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.211952248275915e-78	2.3334004262627e-76
1.0ms	2.3490212873238495e-305	6.157218633610686e-303
20.0ms	-878.380400536593	-3.837121808887936e-5

Samples

12.0ms	144×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 921 to 751 computations (18.5% saved)

Precisions

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

ival-pow: 3.0ms (35.7% of total)

ival-mult: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

ival-log1p: 1.0ms (11.9% of total)

ival-e: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

-10.4MiB live, 34.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.211952248275915e-78	2.3334004262627e-76
1.0ms	2.3490212873238495e-305	6.157218633610686e-303
19.0ms	-3.669577525369706e-15	-9.612777260753736e-17

Samples

11.0ms	99×	0	valid
3.0ms	13×	1	valid
1.0ms	7×	0	invalid

Compiler

Compiled 773 to 623 computations (19.4% saved)

Precisions

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

ival-pow: 3.0ms (38.3% of total)

ival-mult: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.8% of total)

ival-e: 1.0ms (12.8% of total)

ival-log1p: 1.0ms (12.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory

-3.1MiB live, 72.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-7.417953976101116e-28	-1.9922860381653936e-29

Samples

19.0ms	95×	1	valid
2.0ms	22×	0	invalid
1.0ms	17×	0	valid

Compiler

Compiled 323 to 247 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 6.0ms (34.7% of total)

ival-mult: 3.0ms (17.4% of total)

adjust: 2.0ms (11.6% of total)

ival-sub: 2.0ms (11.6% of total)

ival-e: 2.0ms (11.6% of total)

ival-log1p: 2.0ms (11.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.460695157482596e+63	1.1796340718980174e+64

Samples

12.0ms	48×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 187 to 144 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 5.0ms (46.3% of total)

ival-e: 2.0ms (18.5% of total)

ival-sub: 1.0ms (9.3% of total)

adjust: 1.0ms (9.3% of total)

ival-mult: 1.0ms (9.3% of total)

ival-log1p: 1.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory

-54.3MiB live, 52.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	4.120254781391703e-72	1.1735499950568211e-66

Samples

37.0ms	81×	1	valid
5.0ms	63×	0	valid

Compiler

Compiled 123 to 142 computations (-15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-e: 20.0ms (54.6% of total)

ival-pow: 8.0ms (21.8% of total)

ival-log1p: 3.0ms (8.2% of total)

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

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

adjust: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

simplify27.0ms (0.2%)

Memory

10.5MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	781
1	130	781

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 x #s(literal -5902958103587057/73786976294838206464 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))))
(if (<=.f64 x #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))))
(if (<=.f64 x #s(literal -6065802694000329/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 c #s(literal 8500000000000000400448807179997811145113416813220154995971719168 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 c #s(literal 8802718417897835/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Outputs
(if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))))
(if (<=.f64 x #s(literal -5902958103587057/73786976294838206464 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))))
(if (<=.f64 x #s(literal -5902958103587057/73786976294838206464 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))))
(if (<=.f64 x #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))))
(if (<=.f64 x #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 2915462144807453/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (.f64 y x))) c) (if (<=.f64 x #s(literal 2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 y x))) c))))
(if (<=.f64 x #s(literal -6065802694000329/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 x #s(literal -6065802694000329/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 c #s(literal 8500000000000000400448807179997811145113416813220154995971719168 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 c #s(literal 8500000000000000400448807179997811145113416813220154995971719168 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 c) (* (* (+ (* 1/3 y) -1/2) y) c)) x) (+ (* 1/2 c) (* -1/2 (* y c)))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 (fma.f64 x c c) #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y)))
(if (<=.f64 c #s(literal 8802718417897835/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
(if (<=.f64 c #s(literal 8802718417897835/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

soundness764.0ms (5.7%)

Memory

28.5MiB live, 703.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	340
0	95	340
1	357	335
2	2770	335
0	10104	306
0	975	11977
1	3383	11465
0	8441	9460
0	875	10448
1	3222	10159
0	8306	9055
0	11	46
0	18	46
1	70	46
2	454	40
3	4960	40
0	8940	25
0	283	1930
1	1018	1746
2	3394	1720
0	8432	1561

Stop Event

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

Compiler

Compiled 699 to 293 computations (58.1% saved)

preprocess107.0ms (0.8%)

Memory: -28.9MiB live, 126.1MiB allocated
Remove: (negabs c)
Compiler: Compiled 808 to 246 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	403	51
10	485	51
11	500	51
12	504	51
0	504	46

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	403	51
10	485	51
11	500	51
12	504	51
0	504	46

start0.0ms (0%)

analyze173.0ms (1.3%)

sample4.0s (30%)

explain584.0ms (4.4%)

preprocess124.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize74.0ms (0.6%)

series203.0ms (1.5%)

simplify349.0ms (2.6%)

rewrite151.0ms (1.1%)

eval70.0ms (0.5%)

prune28.0ms (0.2%)

simplify169.0ms (1.3%)

localize292.0ms (2.2%)

series328.0ms (2.5%)

simplify256.0ms (1.9%)

rewrite274.0ms (2.1%)

eval324.0ms (2.4%)

prune78.0ms (0.6%)

simplify203.0ms (1.5%)

localize342.0ms (2.6%)

series394.0ms (3%)

simplify256.0ms (1.9%)

rewrite175.0ms (1.3%)

eval213.0ms (1.6%)

prune158.0ms (1.2%)

simplify154.0ms (1.2%)

localize531.0ms (4%)

series693.0ms (5.2%)

simplify246.0ms (1.9%)

rewrite393.0ms (3%)

eval247.0ms (1.9%)

prune92.0ms (0.7%)

regimes221.0ms (1.7%)

regimes161.0ms (1.2%)

regimes12.0ms (0.1%)

regimes59.0ms (0.4%)

regimes97.0ms (0.7%)

regimes23.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch82.0ms (0.6%)

bsearch25.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch18.0ms (0.1%)

bsearch50.0ms (0.4%)

simplify27.0ms (0.2%)

soundness764.0ms (5.7%)

preprocess107.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	403	51
10	485	51
11	500	51
12	504	51
0	504	46