Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze301.0ms (2.3%)

Memory

27.2MiB live, 492.8MiB 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)

sample4.6s (35.3%)

Memory

-205.8MiB live, 4 362.6MiB allocated

Samples

1.8s	4 579×	1	valid
436.0ms	1 635×	1	exit
408.0ms	3 677×	0	valid
338.0ms	694×	1	invalid
72.0ms	702×	0	invalid

Precisions

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

ival-pow: 846.0ms (34.3% of total)

ival-e: 580.0ms (23.5% of total)

ival-mult: 334.0ms (13.5% of total)

adjust: 308.0ms (12.5% of total)

ival-sub: 190.0ms (7.7% of total)

ival-log1p: 182.0ms (7.4% of total)

ival-true: 10.0ms (0.4% of total)

exact: 9.0ms (0.4% of total)

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

Bogosity

explain236.0ms (1.8%)

Memory

-4.4MiB live, 599.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
181	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
142	50	(1.8191934792649032e-70 4.4190233696921004e-176 9.156503240584484e-199)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
18	0	-	3	(-4.1914486320727706e+276 4.108588509614528e-210 -3.2792439209518685e-101)	`(.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	192
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	42
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	15

Confusion

	Predicted +	Predicted -
+	146	0
-	76	34

Precision

0.6576576576576577

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	76	0	34

Precision?

0.6576576576576577

Recall?

1.0

Freqs

test

number	freq
0	34
1	195
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

110.0ms	360×	1	valid
16.0ms	152×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-pow: 38.0ms (38.9% of total)

ival-e: 18.0ms (18.4% of total)

adjust: 12.0ms (12.3% of total)

ival-mult: 11.0ms (11.3% of total)

ival-log1p: 8.0ms (8.2% of total)

ival-sub: 5.0ms (5.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-true: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

preprocess121.0ms (0.9%)

Memory

-3.5MiB live, 77.0MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(.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

-15.0MiB live, 24.5MiB 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

localize75.0ms (0.6%)

Memory

22.2MiB live, 187.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	3.657311415228103	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	31.61177802603822	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	42.457594745429724	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

52.0ms	180×	1	valid
12.0ms	76×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow: 18.0ms (37.3% of total)

ival-e: 8.0ms (16.6% of total)

ival-log1p: 7.0ms (14.5% of total)

ival-mult: 6.0ms (12.4% of total)

adjust: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series201.0ms (1.6%)

Memory

-18.5MiB live, 407.1MiB allocated

Counts

5 → 120

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>) () ())

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>) () ())) ())
#s(alt (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (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 (* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) (taylor 0 x) (#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 (* x (* y (log (E)))) (taylor 0 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>) () ())) ())
#s(alt (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) (taylor 0 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>) () ())) ())
#s(alt (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) (taylor 0 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>) () ())) ())
#s(alt (* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) (taylor 0 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>) () ())) ())
#s(alt (* x (log (E))) (taylor 0 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 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) (taylor 0 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 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) (taylor 0 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 (* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) (taylor 0 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 (+ 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf x) (#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 x) (#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 x) (#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 x) (#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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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) 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 (+ 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#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 x) (#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 x) (#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 x) (#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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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) 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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
72.0ms	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))
36.0ms	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))
21.0ms	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))
20.0ms	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))
12.0ms	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))

simplify163.0ms (1.3%)

Memory

26.0MiB live, 186.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1874
1	1010	1696
2	3385	1670
0	8408	1516

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

Outputs
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rewrite157.0ms (1.2%)

Memory

12.2MiB live, 201.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	43
1	70	43
2	454	38
3	4960	38
0	8940	23

Stop Event

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

Counts

5 → 321

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))

Outputs
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eval67.0ms (0.5%)

Memory: -10.7MiB live, 148.5MiB allocated
Compiler: Compiled 9 385 to 1 874 computations (80% saved)

prune20.0ms (0.2%)

Memory

12.9MiB live, 49.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	429	12	441
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	430	12	442

Accuracy

99.8%

Counts

442 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	70.1%	(.f64 c (-.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)))))
	41.9%	(.f64 c (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
	46.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
▶	33.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	48.8%	(.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)))
	51.2%	(.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)))
	46.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	56.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
	52.7%	#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))
▶	61.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
▶	55.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))

Compiler

Compiled 364 to 278 computations (23.6% saved)

simplify253.0ms (2%)

Memory

-31.3MiB live, 255.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
cost-diff	0	#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))
cost-diff	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)))
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	0	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
cost-diff	0	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
cost-diff	128	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
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	41	347
0	70	347
1	135	347
2	327	347
3	951	347
4	2869	347
5	5660	318
0	8102	295

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

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

localize187.0ms (1.4%)

Memory

16.9MiB live, 287.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.657311415228103	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	15.690652537953802	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	31.3708732537022	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	3.657311415228103	(.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)))
accuracy	3.8195979806255327	(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)
accuracy	10.530437095218554	(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	25.1889111508574	#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))
accuracy	1.2254636337430647	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy	2.93277891620396	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
accuracy	3.8016243923528568	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	25.407528511250316	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
accuracy	0	(*.f64 y c)
accuracy	3.928040999635631	(.f64 (.f64 y c) x)
accuracy	24.44718767337844	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0	(expm1.f64 x)
accuracy	0.01171875	(*.f64 y (expm1.f64 x))
accuracy	3.657311415228103	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

124.0ms	176×	1	valid
25.0ms	79×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 299 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 43.0ms (37.2% of total)

ival-pow: 20.0ms (17.3% of total)

adjust: 12.0ms (10.4% of total)

ival-add: 11.0ms (9.5% of total)

ival-e: 8.0ms (6.9% of total)

ival-log1p: 7.0ms (6.1% of total)

ival-expm1: 6.0ms (5.2% of total)

const: 5.0ms (4.3% of total)

ival-sub: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

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

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

series249.0ms (1.9%)

Memory

12.5MiB live, 371.4MiB allocated

Counts

19 → 528

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

Calls

9 calls:

Time	Variable		Point	Expression
78.0ms	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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 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)))) (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)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y))
45.0ms	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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 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)))) (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)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y))
31.0ms	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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 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)))) (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)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y))
26.0ms	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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 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)))) (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)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y))
21.0ms	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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 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)))) (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)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y))

simplify145.0ms (1.1%)

Memory

18.0MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	8270
1	2383	7999
2	7958	7982
0	8386	6390

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

rewrite160.0ms (1.2%)

Memory

13.3MiB live, 199.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	268
0	70	268
1	265	268
2	2027	268
0	8471	250

Stop Event

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

Counts

19 → 305

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

Outputs
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eval219.0ms (1.7%)

Memory: -25.8MiB live, 172.2MiB allocated
Compiler: Compiled 22 424 to 2 413 computations (89.2% saved)

prune164.0ms (1.3%)

Memory

-13.0MiB live, 119.0MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	809	21	830
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	816	26	842

Accuracy

99.9%

Counts

842 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
▶	94.2%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
	58.7%	(.f64 (log1p.f64 (+.f64 (.f64 (exp.f64 x) y) (neg.f64 y))) c)
✓	94.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	68.3%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
	51.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	56.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	41.9%	(.f64 c (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
✓	33.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	52.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
▶	55.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
	29.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) x)))
	74.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))
▶	74.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	55.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
	52.7%	#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))
	55.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 y c (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) c)) x))
✓	61.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
	57.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
▶	59.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
▶	48.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
	58.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
	55.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
	31.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 790 to 610 computations (22.8% saved)

simplify182.0ms (1.4%)

Memory

10.8MiB live, 121.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 (expm1.f64 x) c)
cost-diff	0	(.f64 (.f64 (expm1.f64 x) c) y)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
cost-diff	0	(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
cost-diff	320	(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (.f64 c (/.f64 y x)))
cost-diff	704	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)
cost-diff	0	(fma.f64 #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 y)
cost-diff	0	(.f64 (fma.f64 #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 y) x)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
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	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
cost-diff	0	(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
cost-diff	6400	(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	507
0	101	507
1	192	502
2	421	494
3	1090	484
4	2723	476
5	5323	464
0	8109	427

Stop Event

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

Calls

Call 1

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

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

localize447.0ms (3.5%)

Memory

17.7MiB live, 336.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(expm1.f64 x)
accuracy	0.015625	(*.f64 (expm1.f64 x) c)
accuracy	2.4792830304415823	(.f64 (.f64 (expm1.f64 x) c) y)
accuracy	15.335647273688043	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
accuracy	5.894310189073459	(*.f64 c (/.f64 y x))
accuracy	7.007347806944856	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)
accuracy	8.51263970773677	(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (.f64 c (/.f64 y x)))
accuracy	25.407528511250316	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
accuracy	3.657311415228103	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
accuracy	4.052855372882037	(fma.f64 #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 y)
accuracy	24.250855868452273	#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))
accuracy	25.1889111508574	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x))
accuracy	0	(*.f64 c x)
accuracy	4.097242430302317	(.f64 (.f64 c x) y)
accuracy	24.44718767337844	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.0859375	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy	0.10546875	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	0.1484375	(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
accuracy	3.657311415228103	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)

Samples

291.0ms	163×	1	valid
33.0ms	79×	0	valid
28.0ms	14×	2	valid

Compiler

Compiled 375 to 64 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-mult: 97.0ms (37.9% of total)

ival-add: 63.0ms (24.6% of total)

ival-expm1: 20.0ms (7.8% of total)

adjust: 19.0ms (7.4% of total)

ival-pow: 19.0ms (7.4% of total)

ival-log1p: 10.0ms (3.9% of total)

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

ival-div: 6.0ms (2.3% of total)

ival-exp: 5.0ms (2% of total)

ival-sub: 4.0ms (1.6% of total)

const: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

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

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

series530.0ms (4.1%)

Memory

-30.6MiB live, 258.8MiB allocated

Counts

23 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
136.0ms	c	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x)))
102.0ms	c	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x)))
90.0ms	x	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x)))
55.0ms	c	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x)))
45.0ms	y	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x)))

simplify273.0ms (2.1%)

Memory

48.3MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	971	11326
1	3342	10852
0	8169	9451

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 646

Calls

Call 1

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

Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
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(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
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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)
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(.f64 (.f64 x y) c)
(* c (* x y))
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(* c (* x y))
(.f64 (.f64 x y) c)
(* c x)
(*.f64 x c)
(* c x)
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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)
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(* c (* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) 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)
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(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
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(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
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(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
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(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
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(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) y) c)
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) y) c)
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) y) c)
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) y) c)
(* c (- (exp x) 1))
(*.f64 (expm1.f64 x) c)
(* c (- (exp x) 1))
(*.f64 (expm1.f64 x) c)
(* c (- (exp x) 1))
(*.f64 (expm1.f64 x) c)
(* c (- (exp x) 1))
(*.f64 (expm1.f64 x) c)
(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
(*.f64 c (/.f64 y x))
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
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(* c (* x y))
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(* c (* x y))
(.f64 (.f64 x y) c)
(* c x)
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(* c x)
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(* c x)
(*.f64 x c)
(* c x)
(*.f64 x 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)
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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 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) c)
(* c (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
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(.f64 (.f64 (expm1.f64 x) y) c)
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(.f64 (.f64 (expm1.f64 x) y) c)
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(.f64 (.f64 (expm1.f64 x) y) c)
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(*.f64 (expm1.f64 x) c)
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(*.f64 (expm1.f64 x) c)
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(*.f64 (expm1.f64 x) c)
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(*.f64 (expm1.f64 x) c)
(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
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(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
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(* c x)
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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 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) c)
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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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(.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (.f64 x x) (-.f64 y (*.f64 y y))))
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(/ (* c y) x)
(*.f64 c (/.f64 y x))
(/ (* c y) x)
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(/ (* c y) x)
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(/ (* c y) x)
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rewrite254.0ms (2%)

Memory

-18.3MiB live, 257.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	425
0	101	425
1	403	383
2	3285	363
0	9075	341

Stop Event

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

Counts

23 → 362

Calls

Call 1

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

Outputs
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eval268.0ms (2.1%)

Memory: 3.8MiB live, 245.7MiB allocated
Compiler: Compiled 21 248 to 2 955 computations (86.1% saved)

prune106.0ms (0.8%)

Memory

8.9MiB live, 125.5MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	994	14	1 008
Fresh	6	12	18
Picked	4	1	5
Done	0	3	3
Total	1 004	30	1 034

Accuracy

99.9%

Counts

1 034 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
	74.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
✓	94.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	68.3%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
▶	56.2%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
	51.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	41.9%	(.f64 c (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
✓	33.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	55.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
	52.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
▶	74.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))
	58.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
	59.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
▶	55.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
	73.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
	58.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	58.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
✓	61.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
	57.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
✓	59.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
▶	58.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
▶	38.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
	49.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
	45.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))
	31.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
	50.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
	55.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
	31.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 908 to 704 computations (22.5% saved)

simplify188.0ms (1.5%)

Memory

-25.8MiB live, 215.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	384	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y))))
cost-diff	1024	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)
cost-diff	1664	(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y))
cost-diff	0	(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
cost-diff	640	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
cost-diff	0	(*.f64 x c)
cost-diff	0	(.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
cost-diff	0	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))
cost-diff	6784	(fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	740
0	126	719
1	248	719
2	620	701
3	2295	629
4	7021	617
0	8238	588

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c y) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (expm1.f64 x) y) #s(literal -1/2 binary64))) (*.f64 (expm1.f64 x) c)) y))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(.f64 (fma.f64 (.f64 c y) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (expm1.f64 x) y) #s(literal -1/2 binary64))) (*.f64 (expm1.f64 x) c)) y)
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c))
(fma.f64 (.f64 c y) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (expm1.f64 x) y) #s(literal -1/2 binary64))) (.f64 (expm1.f64 x) c))
(fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)))
(.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (expm1.f64 x) y) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
(pow.f64 (expm1.f64 x) #s(literal 3 binary64))
(expm1.f64 x)
x
#s(literal 3 binary64)
y
c
#s(literal 1/3 binary64)
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(*.f64 (expm1.f64 x) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
(*.f64 x y)
x
y
c
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) c))
(.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) c)
(*.f64 x c)
(*.f64 c x)
x
c
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 c x) c) y)) x))
(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)
(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 c x) c) y)) x)
#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y))
#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 c x) c) y))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 c x) c) y)
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 c x) c)
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 (.f64 x y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x y)
x
y
c
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))))) x))
(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x)
(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))))) x)
#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x))
#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)
(.f64 (.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y))))
(.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) x) y) (/.f64 c (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 c y))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) y) c)
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y y)
y
#s(literal -1/4 binary64)
(*.f64 c y)
c
(/.f64 x (*.f64 c y))
x
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))
(*.f64 (/.f64 (fma.f64 x y x) y) (/.f64 #s(literal -1/2 binary64) c))

localize365.0ms (2.8%)

Memory

21.9MiB live, 696.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.356690195191066	(/.f64 x (*.f64 c y))
accuracy	7.007347806944856	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)
accuracy	18.76469273307208	(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	25.407528511250316	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
accuracy	0.962084494783445	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c))
accuracy	1.6662554477477463	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)
accuracy	2.93277891620396	(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)
accuracy	25.407528511250316	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
accuracy	3.9297226267544962	(.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
accuracy	4.034881784609361	(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
accuracy	25.407528511250316	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
accuracy	0	(*.f64 x y)
accuracy	3.657311415228103	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
accuracy	25.51492402067703	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
accuracy	3.118969023389087	(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
accuracy	3.5093287962200925	(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
accuracy	5.722450271269542	(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
accuracy	14.820529986077897	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))

Samples

232.0ms	149×	1	valid
71.0ms	107×	0	valid

Compiler

Compiled 574 to 78 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 121.0ms (46.7% of total)

ival-log1p: 30.0ms (11.6% of total)

ival-pow: 25.0ms (9.6% of total)

ival-add: 19.0ms (7.3% of total)

adjust: 18.0ms (6.9% of total)

ival-expm1: 10.0ms (3.9% of total)

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

ival-div: 7.0ms (2.7% of total)

ival-exp: 7.0ms (2.7% of total)

ival-sub: 4.0ms (1.5% of total)

const: 4.0ms (1.5% of total)

ival-pow2: 4.0ms (1.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series330.0ms (2.6%)

Memory

11.9MiB live, 813.5MiB allocated

Counts

26 → 816

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) (patch #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) (patch (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) (patch (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (.f64 x y)) (patch #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) (patch #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) (patch (.f64 (.f64 x c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) #<representation binary64>) () ())
#s(alt (.f64 x c) (patch (.f64 x c) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x) (patch (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) (patch #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x) (patch (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) (patch (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) (patch (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) (patch (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) (patch (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y) (patch (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y) #<representation binary64>) () ())
#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 c y)) (patch (/.f64 x (.f64 c y)) #<representation binary64>) () ())

Outputs
#s(alt (* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3))))) (taylor 0 c) (#s(alt (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3))))) (taylor 0 c) (#s(alt (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3))))) (taylor 0 c) (#s(alt (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3))))) (taylor 0 c) (#s(alt (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) (patch #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) (patch #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) (patch #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) (patch #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))) (taylor 0 c) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) (patch (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))) (taylor 0 c) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) (patch (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))) (taylor 0 c) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) (patch (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y) #<representation binary64>) () ())) ())
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#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (* c y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 c y)) (patch (/.f64 x (.f64 c y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* c y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 c y)) (patch (/.f64 x (.f64 c y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* c y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 c y)) (patch (/.f64 x (.f64 c y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* c y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 c y)) (patch (/.f64 x (.f64 c y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
78.0ms	c	@	0	((+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y)) (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) x) (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (* (+ (* -1/2 y) -1/2) 1) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) y) (* (* (pow (- (exp x) 1) 3) y) c) (* (+ (* -1/2 y) 1/2) y) (* (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ x (* c y)))
42.0ms	c	@	-inf	((+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y)) (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) x) (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (* (+ (* -1/2 y) -1/2) 1) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) y) (* (* (pow (- (exp x) 1) 3) y) c) (* (+ (* -1/2 y) 1/2) y) (* (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ x (* c y)))
42.0ms	c	@	inf	((+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y)) (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) x) (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (* (+ (* -1/2 y) -1/2) 1) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) y) (* (* (pow (- (exp x) 1) 3) y) c) (* (+ (* -1/2 y) 1/2) y) (* (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ x (* c y)))
40.0ms	x	@	inf	((+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y)) (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) x) (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (* (+ (* -1/2 y) -1/2) 1) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) y) (* (* (pow (- (exp x) 1) 3) y) c) (* (+ (* -1/2 y) 1/2) y) (* (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ x (* c y)))
35.0ms	x	@	-inf	((+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y)) (* x c) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) x) (/ (+ (* (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (* (+ (* -1/2 y) -1/2) 1) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) y) (* (* (pow (- (exp x) 1) 3) y) c) (* (+ (* -1/2 y) 1/2) y) (* (+ (* (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ x (* c y)))

simplify228.0ms (1.8%)

Memory

-13.4MiB live, 499.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1067	15146
1	3748	14847
2	6933	14840
0	8161	12400

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 814

Calls

Call 1

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

Outputs
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) c)
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) c)
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) c)
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) c)
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x y) x) c)
(* c (* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x y) x) c)
(* c (* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x y) x) c)
(* c (* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x y) x) c)
(* c x)
(*.f64 x c)
(* c x)
(*.f64 x c)
(* c x)
(*.f64 x c)
(* c x)
(*.f64 x c)
(* c (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) c)
(* c (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) c)
(* c (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) c)
(* c (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) c)
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) c)
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) c)
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) c)
(- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (* x (- (* -1/2 y) 1/2)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x)))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (* x (- (* -1/2 y) 1/2)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x)))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (* x (- (* -1/2 y) 1/2)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x)))
(/ (* c (* y (- (+ (* -1/2 y) (* x (- (* 1/4 (pow y 2)) 1/4))) 1/2))) (* x (- (* -1/2 y) 1/2)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y) (/.f64 c (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x)))
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))))
(.f64 (.f64 y c) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(* c (* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))))
(.f64 (.f64 y c) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(* c (* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))))
(.f64 (.f64 y c) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(* c (* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))))
(.f64 (.f64 y c) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) c)
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)))
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(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 y x))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 y x))))
(* x (- (* 1/4 (pow y 2)) 1/4))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) x)
(* -1 (* x (+ (* -1 (- (* 1/4 (pow y 2)) 1/4)) (* -1 (/ (- (* -1/2 y) 1/2) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64))))
(* -1 (* x (+ (* -1 (- (* 1/4 (pow y 2)) 1/4)) (* -1 (/ (- (* -1/2 y) 1/2) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64))))
(* -1 (* x (+ (* -1 (- (* 1/4 (pow y 2)) 1/4)) (* -1 (/ (- (* -1/2 y) 1/2) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64))))
(/ (* c (* x (* y (- (* 1/4 (pow y 2)) 1/4)))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) y) x) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1 (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2))))))
(.f64 (neg.f64 x) (neg.f64 (.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1 (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2))))))
(.f64 (neg.f64 x) (neg.f64 (.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1 (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2))))))
(.f64 (neg.f64 x) (neg.f64 (.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))))
(/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (/.f64 c (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(+ (/ (* c y) x) (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2)))
(.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))
(+ (/ (* c y) x) (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2)))
(.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))
(+ (/ (* c y) x) (/ (* c (* y (- (* 1/4 (pow y 2)) 1/4))) (- (* -1/2 y) 1/2)))
(.f64 c (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 y x)))
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* c (pow (- (exp x) 1) 2))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)
(* y (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
(* y (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
(* y (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
(* y (pow (- (exp x) 1) 3))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* c (* y (pow (- (exp x) 1) 3)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c)
(* -1 (* x (* y (+ (* -1/2 c) (* 1/2 (* c y))))))
(.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (.f64 #s(literal -1/2 binary64) c)) y))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* y (+ (* -1/2 c) (* 1/2 (* c y)))))))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (.f64 #s(literal -1/2 binary64) c)) y (.f64 (neg.f64 c) (/.f64 y x))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* y (+ (* -1/2 c) (* 1/2 (* c y)))))))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (.f64 #s(literal -1/2 binary64) c)) y (.f64 (neg.f64 c) (/.f64 y x))))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* y (+ (* -1/2 c) (* 1/2 (* c y)))))))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (.f64 #s(literal -1/2 binary64) c)) y (.f64 (neg.f64 c) (/.f64 y x))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))
(/ x (* c y))
(/.f64 x (*.f64 y c))

rewrite166.0ms (1.3%)

Memory

-2.8MiB live, 289.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	532
0	126	515
1	505	487
2	4141	481
0	8251	460

Stop Event

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

Counts

26 → 359

Calls

Call 1

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

Outputs
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eval181.0ms (1.4%)

Memory: 21.3MiB live, 455.5MiB allocated
Compiler: Compiled 35 387 to 3 481 computations (90.2% saved)

prune131.0ms (1%)

Memory

-3.3MiB live, 195.4MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 244	12	1 256
Fresh	4	17	21
Picked	4	1	5
Done	0	4	4
Total	1 252	34	1 286

Accuracy

99.9%

Counts

1 286 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
	74.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
✓	94.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	68.3%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
✓	56.2%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
	41.9%	(.f64 c (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
✓	33.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	55.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
	52.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	58.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
	59.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) x (.f64 #s(literal -1/2 binary64) c)) (.f64 x x))) y (.f64 (expm1.f64 x) c)) y))
	54.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
	58.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
	59.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
	56.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
	73.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
	54.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) y)) x (fma.f64 (.f64 #s(literal -1/2 binary64) c) y (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	58.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	58.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
	59.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x))
✓	61.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
✓	59.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	48.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
	36.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
	31.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y)))) x)) x))
	49.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
	31.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
	46.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
	50.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
	32.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
	55.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
	31.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 1 498 to 792 computations (47.1% saved)

regimes175.0ms (1.4%)

Memory

3.0MiB live, 357.9MiB allocated

Counts

60 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 y c (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.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 (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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y)))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) y)) x (fma.f64 (.f64 #s(literal -1/2 binary64) 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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (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)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) x (.f64 #s(literal -1/2 binary64) c)) (.f64 x x))) y (.f64 (expm1.f64 x) c)) y))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 (log1p.f64 (+.f64 (.f64 (exp.f64 x) y) (neg.f64 y))) c)
(.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 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c)
(.f64 c (-.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 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y))
(.f64 c (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))

Outputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)

Calls

9 calls:

27.0ms	y
26.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
20.0ms	x
19.0ms	c
18.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.3%	1	`c`
94.3%	1	`x`
99.8%	3	`y`
94.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
94.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
94.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
94.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
94.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
94.3%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes146.0ms (1.1%)

Memory

-21.3MiB live, 306.6MiB allocated

Counts

50 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 y c (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.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 (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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y)))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) y)) x (fma.f64 (.f64 #s(literal -1/2 binary64) 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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (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)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) x (.f64 #s(literal -1/2 binary64) c)) (.f64 x x))) y (.f64 (expm1.f64 x) c)) y))

Outputs

(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)

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

(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)

Calls

9 calls:

25.0ms	(pow.f64 (E.f64) x)
24.0ms	y
15.0ms	c
15.0ms	x
14.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
76.4%	2	`c`
81.4%	2	`x`
74.1%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
74.1%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
74.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
81.7%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
81.4%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
81.4%	2	`(pow.f64 (E.f64) x)`
87.9%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes78.0ms (0.6%)

Memory

26.8MiB live, 180.5MiB allocated

Counts

45 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 y c (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.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 (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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y)))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) y)) x (fma.f64 (.f64 #s(literal -1/2 binary64) 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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))

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

Calls

6 calls:

15.0ms	y
14.0ms	c
14.0ms	x
11.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
11.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
75.9%	2	`c`
74.1%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
74.1%	1	`x`
74.1%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
74.1%	1	`(pow.f64 (E.f64) x)`
74.1%	1	`y`

Compiler

Compiled 18 to 29 computations (-61.1% saved)

regimes131.0ms (1%)

Memory

5.4MiB live, 310.1MiB allocated

Counts

44 → 1

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

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

Calls

9 calls:

23.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
18.0ms	c
17.0ms	y
13.0ms	x
13.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
73.6%	1	`y`
73.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
73.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
73.6%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
73.6%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
73.6%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
73.6%	1	`(pow.f64 (E.f64) x)`
73.6%	1	`x`
73.6%	1	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes112.0ms (0.9%)

Memory

4.0MiB live, 322.4MiB allocated

Counts

43 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 #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) x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 y c (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x c) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.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 (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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (*.f64 c y)))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (+ (* (* (* (pow (- (exp x) 1) 3) y) c) 1/3) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (fma.f64 (.f64 y c) #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) c)) y)) x (fma.f64 (.f64 #s(literal -1/2 binary64) 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 (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 #s(approx (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 c y)) (/.f64 x (.f64 c y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 x (.f64 c y)))) x)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))

Outputs

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

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

Calls

9 calls:

18.0ms	(pow.f64 (E.f64) x)
14.0ms	y
13.0ms	c
12.0ms	x
12.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
63.7%	2	`c`
61.2%	1	`y`
61.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
61.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
61.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
61.2%	1	`x`
61.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
61.2%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes10.0ms (0.1%)

Memory

-5.3MiB live, 35.9MiB allocated

Counts

23 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y y) (*.f64 c x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #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 y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) y)) x)) x))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
63.6%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-19.3MiB live, 20.2MiB allocated

Counts

15 → 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)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* -1/2 (* x y)) c) (* (+ (* 1/2 x) 1) c)) (.f64 (.f64 (*.f64 y x) c) #s(literal -1/2 binary64))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (.f64 (.f64 (*.f64 y y) c) #s(literal -1/2 binary64))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (+ ( (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (*.f64 c (/.f64 y x))) x)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 #s(approx (/ (+ ( (* (+ (* 1/4 (* y y)) -1/4) (* c y)) (/ x (* c y))) (* (+ (* -1/2 y) -1/2) 1)) (* (+ (* -1/2 y) -1/2) (/ x (* c y)))) (*.f64 y (/.f64 c x))) x)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 x c) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) 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:

5.0ms

Results

Accuracy	Segments	Branch
63.5%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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

9 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 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Results

Accuracy	Segments	Branch
59.9%	1	`x`
59.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.9%	1	`y`
59.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.9%	1	`(pow.f64 (E.f64) x)`
59.9%	1	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch50.0ms (0.4%)

Memory

5.9MiB live, 83.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.91781048398688e+36	1.8485743395967516e+37
19.0ms	-2.3199895490880347e-96	-3.701672850827335e-97

Samples

30.0ms	129×	1	valid
5.0ms	20×	0	invalid
4.0ms	47×	0	valid
0.0ms	1×	1	invalid

Compiler

Compiled 169 to 192 computations (-13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 12.0ms (38.3% of total)

ival-e: 5.0ms (16% of total)

ival-log1p: 5.0ms (16% of total)

ival-mult: 4.0ms (12.8% of total)

adjust: 2.0ms (6.4% of total)

ival-sub: 2.0ms (6.4% 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

-48.2MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.91781048398688e+36	1.8485743395967516e+37
26.0ms	-810.1287550742079	-62.83535342823777

Samples

19.0ms	67×	1	valid
3.0ms	29×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 169 to 192 computations (-13.6% saved)

Precisions

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

ival-pow: 6.0ms (33.2% of total)

ival-mult: 6.0ms (33.2% of total)

ival-e: 3.0ms (16.6% of total)

adjust: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

ival-log1p: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory

13.0MiB live, 51.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.165667403915958e+74	1.5879765057719902e+75

Samples

19.0ms	70×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 99 to 112 computations (-13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 7.0ms (44.8% of total)

ival-e: 3.0ms (19.2% of total)

ival-mult: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

adjust: 1.0ms (6.4% of total)

ival-log1p: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch110.0ms (0.9%)

Memory

-0.7MiB live, 37.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
108.0ms	2.9394600956354258e+41	3.04425025797243e+44

Samples

20.0ms	84×	1	valid
4.0ms	44×	0	valid

Compiler

Compiled 199 to 192 computations (3.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 8.0ms (42.1% of total)

ival-e: 4.0ms (21.1% of total)

adjust: 2.0ms (10.5% of total)

ival-mult: 2.0ms (10.5% of total)

ival-log1p: 2.0ms (10.5% of total)

ival-sub: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory

-11.5MiB live, 30.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	593867.5036861683	5903316.339550077

Samples

14.0ms	57×	1	valid
3.0ms	39×	0	valid

Compiler

Compiled 141 to 142 computations (-0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 6.0ms (42.4% of total)

ival-e: 3.0ms (21.2% of total)

ival-mult: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7.1% of total)

adjust: 1.0ms (7.1% of total)

ival-log1p: 1.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.165667403915958e+74	1.5879765057719902e+75

Compiler

Compiled 87 to 100 computations (-14.9% saved)

simplify25.0ms (0.2%)

Memory

19.3MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	329
1	100	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1382821872737233/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -250 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 c #s(literal 390000000000000007506620654654948779862580331603951032781999463827180093440 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
(if (<=.f64 c #s(literal 480000000000000033924542478330242806054912 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
(if (<=.f64 c #s(literal 4100000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y)))
(if (<=.f64 c #s(literal 390000000000000007506620654654948779862580331603951032781999463827180093440 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 y #s(literal -1382821872737233/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -1382821872737233/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -250 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -250 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 c #s(literal 390000000000000007506620654654948779862580331603951032781999463827180093440 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 c #s(literal 390000000000000007506620654654948779862580331603951032781999463827180093440 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c y) (expm1.f64 x)))
(if (<=.f64 c #s(literal 480000000000000033924542478330242806054912 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 c y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) x)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
(if (<=.f64 c #s(literal 480000000000000033924542478330242806054912 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 c y))) x)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
(if (<=.f64 c #s(literal 4100000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y)))
(if (<=.f64 c #s(literal 4100000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #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) y)))
(if (<=.f64 c #s(literal 390000000000000007506620654654948779862580331603951032781999463827180093440 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 390000000000000007506620654654948779862580331603951032781999463827180093440 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))

soundness941.0ms (7.3%)

Memory

16.1MiB live, 797.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1874
1	1010	1696
2	3385	1670
0	8408	1516
0	41	268
0	70	268
1	265	268
2	2027	268
0	8471	250
0	83	532
0	126	515
1	505	487
2	4141	481
0	8251	460
0	11	43
0	18	43
1	70	43
2	454	38
3	4960	38
0	8940	23
0	69	425
0	101	425
1	403	383
2	3285	363
0	9075	341
0	684	8270
1	2383	7999
2	7958	7982
0	8386	6390
0	971	11326
1	3342	10852
0	8169	9451

Stop Event

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

Compiler

Compiled 721 to 359 computations (50.2% saved)

preprocess68.0ms (0.5%)

Memory: -2.6MiB live, 147.5MiB allocated
Remove: (negabs c)
Compiler: Compiled 410 to 194 computations (52.7% 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%)

analyze301.0ms (2.3%)

sample4.6s (35.3%)

explain236.0ms (1.8%)

preprocess121.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize75.0ms (0.6%)

series201.0ms (1.6%)

simplify163.0ms (1.3%)

rewrite157.0ms (1.2%)

eval67.0ms (0.5%)

prune20.0ms (0.2%)

simplify253.0ms (2%)

localize187.0ms (1.4%)

series249.0ms (1.9%)

simplify145.0ms (1.1%)

rewrite160.0ms (1.2%)

eval219.0ms (1.7%)

prune164.0ms (1.3%)

simplify182.0ms (1.4%)

localize447.0ms (3.5%)

series530.0ms (4.1%)

simplify273.0ms (2.1%)

rewrite254.0ms (2%)

eval268.0ms (2.1%)

prune106.0ms (0.8%)

simplify188.0ms (1.5%)

localize365.0ms (2.8%)

series330.0ms (2.6%)

simplify228.0ms (1.8%)

rewrite166.0ms (1.3%)

eval181.0ms (1.4%)

prune131.0ms (1%)

regimes175.0ms (1.4%)

regimes146.0ms (1.1%)

regimes78.0ms (0.6%)

regimes131.0ms (1%)

regimes112.0ms (0.9%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch50.0ms (0.4%)

bsearch31.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch110.0ms (0.9%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

simplify25.0ms (0.2%)

soundness941.0ms (7.3%)

preprocess68.0ms (0.5%)

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