Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze271.0ms (1.9%)

Memory

12.7MiB live, 324.1MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
35.7%	31.2%	56.2%	0.1%	0%	12.5%	0%	7
35.7%	31.2%	56.2%	0.1%	0%	12.5%	0%	8
46.4%	40.6%	46.8%	0.1%	0%	12.5%	0%	9
56.4%	48.4%	37.4%	0.1%	0%	14%	0%	10
56.4%	48.4%	37.4%	0.1%	0%	14%	0%	11
60.7%	50.7%	32.8%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.9s (27.9%)

Memory

-161.6MiB live, 4 511.7MiB allocated

Samples

1.4s	3 550×	1	valid
650.0ms	4 706×	0	valid
362.0ms	1 574×	1	exit
185.0ms	434×	1	invalid
97.0ms	686×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-pow: 905.0ms (42.6% of total)

ival-e: 398.0ms (18.7% of total)

ival-log1p: 295.0ms (13.9% of total)

ival-mult: 268.0ms (12.6% of total)

adjust: 133.0ms (6.3% of total)

ival-sub: 101.0ms (4.8% of total)

ival-true: 10.0ms (0.5% of total)

exact: 9.0ms (0.4% of total)

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

Bogosity

explain864.0ms (6.1%)

Memory

-2.1MiB live, 353.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
185	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
157	38	(-1.1572332172912704e-76 -9.041652410408295e-197 -1.9489040252861344e-221)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
18	0	-	4	(9.969234579656203e+79 -1.465979902187779e-202 -9.566103829104767e-113)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
1	0	-	1	(5.836293511203719e-83 -1.87988657085037e+215 -1.3556370552940098)	`(E.f64)`
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	-	`(*.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	194	1
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	44	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	14	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	oflow-rescue	1	0
↳	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`	overflow	1
↳	`(pow.f64 (E.f64) x)`	overflow	1
↳	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	176	0
-	51	29

Precision

0.775330396475771

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	176	0	0
-	51	0	29

Precision?

0.775330396475771

Recall?

1.0

Freqs

test

number	freq
0	29
1	201
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

454.0ms	288×	1	valid
153.0ms	222×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

ival-mult: 309.0ms (53.4% of total)

ival-add: 130.0ms (22.5% of total)

ival-pow: 62.0ms (10.7% of total)

ival-e: 56.0ms (9.7% of total)

ival-log1p: 8.0ms (1.4% of total)

adjust: 7.0ms (1.2% of total)

ival-sub: 5.0ms (0.9% of total)

ival-true: 1.0ms (0.2% of total)

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

exact: 0.0ms (0% of total)

preprocess130.0ms (0.9%)

Memory

-13.7MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.2%	(.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)

simplify23.0ms (0.2%)

Memory

-6.1MiB live, 41.8MiB 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

localize101.0ms (0.7%)

Memory

11.5MiB live, 124.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2421827697807635	(E.f64)
accuracy	3.5653710672048797	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	34.753390343092654	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	42.850095532483344	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

63.0ms	144×	1	valid
13.0ms	111×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-e: 27.0ms (42.5% of total)

ival-pow: 19.0ms (29.9% of total)

ival-mult: 5.0ms (7.9% of total)

adjust: 4.0ms (6.3% of total)

ival-log1p: 4.0ms (6.3% of total)

ival-sub: 2.0ms (3.2% of total)

ival-add: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series225.0ms (1.6%)

Memory

4.9MiB live, 586.6MiB allocated

Counts

6 → 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>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())

Outputs
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
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#s(alt (* 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
85.0ms	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) (E))
44.0ms	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) (E))
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) (E))
16.0ms	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) (E))
15.0ms	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) (E))

simplify177.0ms (1.2%)

Memory

19.9MiB live, 339.8MiB 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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rewrite158.0ms (1.1%)

Memory

4.5MiB live, 312.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	44
1	70	44
2	454	39
3	4960	39
0	8940	24

Stop Event

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

Counts

6 → 388

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))
(E.f64)

Outputs
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eval149.0ms (1%)

Memory: -29.5MiB live, 271.3MiB allocated
Compiler: Compiled 10 614 to 2 383 computations (77.5% saved)

prune27.0ms (0.2%)

Memory

32.2MiB live, 71.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	488	20	508
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	489	20	509

Accuracy

99.5%

Counts

509 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	49.3%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	40.8%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
	79.4%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
	70.7%	(.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)))))
	14.7%	(.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
	17.6%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
	36.1%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
	36.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
▶	37.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
	38.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
▶	24.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	44.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
	45.8%	(.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)))
	49.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	38.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	55.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
▶	39.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
▶	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	38.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))

Compiler

Compiled 776 to 544 computations (29.9% saved)

simplify117.0ms (0.8%)

Memory

-8.7MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
cost-diff	64	(pow.f64 (E.f64) x)
cost-diff	192	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
cost-diff	6464	(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
cost-diff	0	(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
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	(*.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	45	382
0	77	379
1	133	376
2	288	376
3	1194	376
4	5046	299
5	6276	299
0	8250	290

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

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

localize218.0ms (1.5%)

Memory

-25.9MiB live, 379.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.2173037598406846	(fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c))
accuracy	4.796500692277255	(.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
accuracy	14.730316870384152	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
accuracy	42.850095532483344	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	2.5698326276399786	(*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	3.5653710672048797	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
accuracy	15.473163634481269	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))
accuracy	34.753390343092654	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))
accuracy	3.5653710672048797	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	15.433170005617681	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	34.753390343092654	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	0	(*.f64 y c)
accuracy	4.155245037653731	(.f64 (.f64 y c) x)
accuracy	24.85372998889404	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0	(expm1.f64 x)
accuracy	0.00390625	(*.f64 y (expm1.f64 x))
accuracy	0.24598086188199483	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	3.5653710672048797	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

136.0ms	138×	1	valid
40.0ms	117×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 632 to 79 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 45.0ms (33.6% of total)

ival-pow: 26.0ms (19.4% of total)

ival-e: 11.0ms (8.2% of total)

ival-expm1: 10.0ms (7.5% of total)

adjust: 9.0ms (6.7% of total)

const: 9.0ms (6.7% of total)

ival-add: 9.0ms (6.7% of total)

ival-log1p: 7.0ms (5.2% of total)

ival-pow2: 4.0ms (3% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series259.0ms (1.8%)

Memory

50.5MiB live, 470.4MiB allocated

Counts

20 → 540

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

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

Calls

9 calls:

Time	Variable		Point	Expression
76.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
46.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
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) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
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) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))
25.0ms	c	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))))

simplify165.0ms (1.2%)

Memory

2.6MiB live, 198.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	8838
1	2503	8539
0	8367	7617

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 538

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 (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
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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)
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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 (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
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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 (- (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))
(* c 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)))))
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(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
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(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
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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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(* c (* x y))
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(* 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)))))))))
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1
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(* 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 (- (+ (* -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))
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1
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1
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(+ 1 (* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(+ 1 (* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(* c (- (pow (E) x) 1))
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(* 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 (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
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1
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(* c (* x (log (E))))
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(* x (+ (* c (log (E))) (* x (+ (* -1/2 (* c (* y (pow (log (E)) 2)))) (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/6 (* c (pow (log (E)) 3))) (+ (* c (* y (+ (* -1/2 (pow (log (E)) 3)) (* 1/3 (* y (pow (log (E)) 3)))))) (* x (+ (* 1/24 (* c (pow (log (E)) 4))) (* c (* y (+ (* -1/2 (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4)))) (+ (* 1/6 (* y (pow (log (E)) 4))) (* 1/3 (* y (pow (log (E)) 4)))))))))))))))))
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1
(+ 1 (* x (log (E))))
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))
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y
(+ y (* 1/2 (* x y)))
(+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))
(+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))
(* -1/2 (* c (* (pow x 2) (pow (log (E)) 2))))
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(* (pow x 2) (+ (* -1/2 (* c (pow (log (E)) 2))) (* x (+ (* c (+ (* -1/2 (pow (log (E)) 3)) (* 1/3 (* y (pow (log (E)) 3))))) (* x (+ (* c (* x (+ (* -1/2 (+ (* 1/12 (pow (log (E)) 5)) (* 1/6 (pow (log (E)) 5)))) (+ (* 1/18 (* y (pow (log (E)) 5))) (+ (* 1/6 (* y (pow (log (E)) 5))) (* 1/3 (* y (* (log (E)) (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))))))))) (* c (+ (* -1/2 (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4)))) (+ (* 1/6 (* y (pow (log (E)) 4))) (* 1/3 (* y (pow (log (E)) 4))))))))))))
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(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
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(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
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(- (exp x) 1)
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(- (exp x) 1)
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(* c (* x y))
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(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(pow (E) 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)))))
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(* 1/6 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ y x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 y)) x)) (* 1/6 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 y)) x)) (* 1/6 y)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))
(* c (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))

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

rewrite158.0ms (1.1%)

Memory

-0.5MiB live, 188.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	273
0	77	273
1	260	271
2	1798	271
0	8157	242

Stop Event

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

Counts

20 → 405

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

Outputs
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eval197.0ms (1.4%)

Memory: 33.8MiB live, 370.5MiB allocated
Compiler: Compiled 38 489 to 4 790 computations (87.6% saved)

prune90.0ms (0.6%)

Memory

-37.9MiB live, 139.0MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 259	18	1 277
Fresh	9	6	15
Picked	2	3	5
Done	0	0	0
Total	1 270	27	1 297

Accuracy

99.6%

Counts

1 297 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(.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)
	93.9%	(.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)
▶	94.0%	(*.f64 (log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) c)
✓	94.0%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
▶	67.3%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	68.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	67.1%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	68.7%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	7.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	49.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) x)) c)
	70.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
	55.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	49.3%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	79.4%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
	14.7%	(.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
	17.6%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
✓	24.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	45.8%	(.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)))
	73.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
	53.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) c (*.f64 y c)) x))
	42.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 c y)) #s(literal 2 binary64)) (pow.f64 (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) c) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 c (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))))) y))
✓	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	38.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
▶	59.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	50.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c))) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
▶	50.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	55.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))

Compiler

Compiled 970 to 680 computations (29.9% saved)

simplify110.0ms (0.8%)

Memory

21.8MiB live, 134.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))
cost-diff	0	(log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))
cost-diff	0	(-.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))))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
cost-diff	0	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
cost-diff	320	(fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c))
cost-diff	320	(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c))
cost-diff	320	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c)))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (.f64 c x) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (expm1.f64 x))
cost-diff	0	(log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
cost-diff	0	(*.f64 (log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) c)
cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	554
0	111	549
1	197	528
2	452	522
3	1742	485
4	6858	485
0	8367	459

Stop Event

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

Calls

Call 1

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

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

localize312.0ms (2.2%)

Memory

-9.0MiB live, 441.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))
accuracy	0.01953125	(-.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))))
accuracy	0.109375	(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))
accuracy	3.5067773172048797	(.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)
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.0703125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	3.5067773172048797	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
accuracy	10.170203699812099	#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))
accuracy	1.0723662930722613	(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y)
accuracy	2.443282178059039	(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c))) x c)
accuracy	4.7111549270114415	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c)))
accuracy	9.780326811052387	#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x))
accuracy	0	(*.f64 c x)
accuracy	3.2026406665259506	(.f64 (.f64 c x) y)
accuracy	10.665210476815739	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.00390625	(log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (expm1.f64 x))
accuracy	0.12890625	(/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
accuracy	3.5067773172048797	(*.f64 (log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) c)

Samples

182.0ms	115×	1	valid
43.0ms	80×	0	valid
34.0ms	61×	0	invalid

Compiler

Compiled 900 to 116 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-mult: 67.0ms (31.6% of total)

ival-pow: 40.0ms (18.9% of total)

ival-add: 17.0ms (8% of total)

ival-log1p: 17.0ms (8% of total)

ival-expm1: 16.0ms (7.5% of total)

const: 14.0ms (6.6% of total)

adjust: 12.0ms (5.7% of total)

ival-e: 9.0ms (4.2% of total)

ival-pow2: 7.0ms (3.3% of total)

ival-div: 6.0ms (2.8% of total)

ival-sub: 4.0ms (1.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series448.0ms (3.2%)

Memory

5.0MiB live, 606.1MiB allocated

Counts

26 → 696

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
120.0ms	x	@	-inf	((/ y (/ 1 (- (exp x) 1))) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (/ 1 (- (exp x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (+ (* -1/2 (* y c)) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (neg (pow (* (- (exp x) 1) y) 2)) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (pow (* (- (exp x) 1) y) 2) (log (+ 1 (* (neg y) (- (exp x) 1)))))
90.0ms	c	@	0	((/ y (/ 1 (- (exp x) 1))) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (/ 1 (- (exp x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (+ (* -1/2 (* y c)) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (neg (pow (* (- (exp x) 1) y) 2)) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (pow (* (- (exp x) 1) y) 2) (log (+ 1 (* (neg y) (- (exp x) 1)))))
62.0ms	x	@	inf	((/ y (/ 1 (- (exp x) 1))) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (/ 1 (- (exp x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (+ (* -1/2 (* y c)) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (neg (pow (* (- (exp x) 1) y) 2)) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (pow (* (- (exp x) 1) y) 2) (log (+ 1 (* (neg y) (- (exp x) 1)))))
46.0ms	c	@	-inf	((/ y (/ 1 (- (exp x) 1))) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (/ 1 (- (exp x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (+ (* -1/2 (* y c)) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (neg (pow (* (- (exp x) 1) y) 2)) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (pow (* (- (exp x) 1) y) 2) (log (+ 1 (* (neg y) (- (exp x) 1)))))
46.0ms	c	@	inf	((/ y (/ 1 (- (exp x) 1))) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (/ 1 (- (exp x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (+ (* -1/2 (* y c)) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (neg (pow (* (- (exp x) 1) y) 2)) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (pow (* (- (exp x) 1) y) 2) (log (+ 1 (* (neg y) (- (exp x) 1)))))

simplify324.0ms (2.3%)

Memory

-11.2MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	12897
1	3568	12451
0	8612	10507

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 694

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (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))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/6 (* y (- (* 1/3 y) 1/2))))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (+ 1/2 (* -1/2 y)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (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))
(* c (* x y))
(* c (* x y))
(* c (* x y))
(* c x)
(* c x)
(* c x)
(* c x)
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)))
(* -1 (* c (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6)))
(* -1 (* c (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6)))
(* -1 (* c (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6)))
(* -1 (* c (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6)))
(* -1 (* c (- (* 1/2 y) 1/2)))
(* -1 (* c (- (* 1/2 y) 1/2)))
(* -1 (* c (- (* 1/2 y) 1/2)))
(* -1 (* c (- (* 1/2 y) 1/2)))
(* 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 (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1)))
(* -1 (* c (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1)))
(* -1 (* c (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1)))
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(* -1 (* (pow y 2) (pow (- (exp x) 1) 2)))
(* -1 (* (pow y 2) (pow (- (exp x) 1) 2)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (+ (* c (* y (- (* 1/3 y) 1/2))) (/ c (pow x 2)))))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (+ (* c (* y (- (* 1/3 y) 1/2))) (/ c (pow x 2)))))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(/ 1 (- (exp x) 1))
(/ 1 (- (exp x) 1))
(/ 1 (- (exp x) 1))
(/ 1 (- (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 x)
(* c x)
(* c x)
(* c x)
(* x (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* -1 (* x (+ (* -1 (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))) (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1))))))
(- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1))))))
(- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1))))))
(- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1))))))
(log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2))))
(log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2))))
(log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2))))
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(* -1 (* (pow y 2) (pow (- (exp x) 1) 2)))
(* -1 (* (pow y 2) (pow (- (exp x) 1) 2)))
(* -1 (* (pow y 2) (pow (- (exp x) 1) 2)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* c y) x)) (+ (* 1/6 c) (+ (* 1/2 (/ c x)) (* c (* y (- (* 1/3 y) 1/2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* c y)) (* 1/2 c))) (* -1 (/ c x))) x)) (+ (* 1/6 c) (* c (* y (- (* 1/3 y) 1/2))))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
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(* 1/24 x)
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(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(* (pow y 2) (pow (- (exp x) 1) 2))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))
(log (+ 1 (* -1 (* y (- (exp x) 1)))))

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

rewrite306.0ms (2.2%)

Memory

11.6MiB live, 198.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	447
0	111	426
1	450	402
2	3517	402
0	10567	369

Stop Event

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

Counts

26 → 537

Calls

Call 1

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

Outputs
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eval282.0ms (2%)

Memory: 38.4MiB live, 227.9MiB allocated
Compiler: Compiled 35 790 to 4 162 computations (88.4% saved)

prune325.0ms (2.3%)

Memory

-42.5MiB live, 176.4MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 206	25	1 231
Fresh	16	3	19
Picked	2	3	5
Done	0	3	3
Total	1 224	34	1 258

Accuracy

99.6%

Counts

1 258 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(.f64 (-.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.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)) y) #s(literal 2 binary64)) (.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)) y)))) c)
✓	70.7%	(.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)
	8.3%	(.f64 (-.f64 (log.f64 (-.f64 (pow.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)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.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)) y) #s(literal 1 binary64)))) c)
▶	93.9%	(.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)
	93.9%	(.f64 (log1p.f64 (/.f64 y (.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) c)
	32.7%	(.f64 (log1p.f64 (/.f64 y (exp.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))) c)
	73.9%	(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	68.6%	(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
✓	94.0%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
✓	67.3%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	68.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	67.1%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	68.7%	(.f64 (log1p.f64 #s(approx (/ y (/ 1 (- (exp x) 1))) (.f64 x y))) c)
▶	70.3%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
▶	55.3%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
▶	7.0%	(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	49.3%	(.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
	49.3%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
✓	24.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	73.4%	#s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 x))) y))
	73.4%	#s(approx (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
	42.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 c y)) #s(literal 2 binary64)) (pow.f64 (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) c) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 c (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))))) y))
✓	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	59.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	50.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)) x (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	55.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	55.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	56.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
	59.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	53.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
	44.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) x (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x c c)) (neg.f64 y))) (.f64 y y))) x c) x)) y))
	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
▶	54.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
	23.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) (*.f64 y y)))) x)) y))

Compiler

Compiled 1 353 to 911 computations (32.7% saved)

simplify239.0ms (1.7%)

Memory

-6.2MiB live, 69.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 y)
cost-diff	0	(+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))
cost-diff	0	#s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))))
cost-diff	0	(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 (expm1.f64 x) y)
cost-diff	0	#s(approx (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y))
cost-diff	0	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)
cost-diff	0	#s(approx (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x))
cost-diff	0	(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y))
cost-diff	0	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
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	87	674
0	122	655
1	219	626
2	481	606
3	1866	606
4	3712	606
5	6350	606
0	8272	579

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

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

localize308.0ms (2.2%)

Memory

35.6MiB live, 153.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(expm1.f64 x)
accuracy	0.09830256495897834	(+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))
accuracy	0.6644002756346582	(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
accuracy	9.762468385165844	#s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))))
accuracy	0	(*.f64 (expm1.f64 x) y)
accuracy	0	(expm1.f64 x)
accuracy	0.16222398616899825	#s(approx (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y))
accuracy	0.6644002756346582	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
accuracy	0.0390625	(fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))
accuracy	0.07759743474815925	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
accuracy	0.2530372289912192	(.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y)
accuracy	1.4974115877610554	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0.3092076205187894	#s(approx (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y))
accuracy	0.6644002756346582	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
accuracy	0.01171875	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	0.0234375	(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
accuracy	0.05078125	(/.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	0.6644002756346582	(.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

221.0ms	216×	0	invalid
36.0ms	28×	1	valid
6.0ms	10×	0	valid
4.0ms	2×	2	valid

Compiler

Compiled 825 to 118 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-add: 80.0ms (36.8% of total)

ival-mult: 47.0ms (21.6% of total)

ival-div: 27.0ms (12.4% of total)

ival-log1p: 11.0ms (5.1% of total)

ival-pow: 8.0ms (3.7% of total)

const: 8.0ms (3.7% of total)

ival-expm1: 7.0ms (3.2% of total)

ival-log: 6.0ms (2.8% of total)

ival-pow2: 5.0ms (2.3% of total)

ival-e: 5.0ms (2.3% of total)

adjust: 4.0ms (1.8% of total)

ival-exp: 3.0ms (1.4% of total)

ival-sub: 3.0ms (1.4% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series858.0ms (6.1%)

Memory

3.5MiB live, 1 391.2MiB allocated

Counts

23 → 588

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

Calls

9 calls:

Time	Variable		Point	Expression
186.0ms	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))) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (* (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) x) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (+ (* 1/3 y) -1/2))
154.0ms	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))) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (* (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) x) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (+ (* 1/3 y) -1/2))
124.0ms	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))) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (* (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) x) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (+ (* 1/3 y) -1/2))
103.0ms	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))) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (* (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) x) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (+ (* 1/3 y) -1/2))
99.0ms	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))) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) y) (+ (* (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (* (+ (* (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) x) (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (+ (* 1/3 y) -1/2))

simplify210.0ms (1.5%)

Memory

-13.7MiB live, 316.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1126	13578
1	3890	12931
2	7426	12640
0	8259	10118

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 587

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 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -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 (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (/ (* y (- (exp (* 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 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -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 (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (* y (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (- (+ (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (/ (* y (- (exp (* 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 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -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)))))
(* -1 (* c (* y (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1))))))
(* -1 (* c (* y (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1))))))
(* -1 (* c (* y (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1))))))
(* -1 (* c (* y (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1))))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (* y (* (- (* 1/3 (* y (- (pow (E) x) 1))) 1/2) (pow (- (pow (E) x) 1) 2)))) (* -1 (- (pow (E) x) 1)))))
(* -1 (* c (* x (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1))))
(* -1 (* c (* x (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1))))
(* -1 (* c (* x (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1))))
(* -1 (* c (* x (- (* x (- (+ (* 1/2 y) (* x (- (* -1 (* y (- (* 1/3 y) 1/2))) 1/6))) 1/2)) 1))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -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)))))
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Outputs
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(* c (- (log (- 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (log (+ 1 (* -1 (* y (- (exp x) 1)))))))
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(-.f64 (log1p.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
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rewrite161.0ms (1.1%)

Memory

-1.1MiB live, 268.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	546
0	122	535
1	527	413
2	4388	381
0	9034	366

Stop Event

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

Counts

23 → 437

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

Outputs
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eval232.0ms (1.6%)

Memory: 19.7MiB live, 450.3MiB allocated
Compiler: Compiled 23 240 to 3 501 computations (84.9% saved)

prune100.0ms (0.7%)

Memory

-5.3MiB live, 238.3MiB allocated

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1 078	16	1 094
Fresh	11	12	23
Picked	3	2	5
Done	0	6	6
Total	1 092	36	1 128

Accuracy

99.6%

Counts

1 128 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(.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)
	8.3%	(.f64 (-.f64 (log.f64 (-.f64 (pow.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)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.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)) y) #s(literal 1 binary64)))) c)
	73.1%	(.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)
	32.7%	(.f64 (log1p.f64 (/.f64 y (exp.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))) c)
	73.9%	(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	68.6%	(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
	41.9%	(.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 (log.f64 y)))) c)
✓	94.0%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
✓	67.3%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	68.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	67.1%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	68.7%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
	70.2%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)))) c)
✓	70.3%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
	54.7%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
	55.4%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
	54.6%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
✓	55.3%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
	54.6%	(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) #s(approx (* (- (exp x) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y y) x))) c)
	23.9%	(.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (-.f64 (log.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))))) c)
	7.0%	(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 y)) (log.f64 x)))) c)
	7.0%	(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 x) (log.f64 y)))) c)
✓	24.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	73.4%	#s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 x))) y))
	72.5%	#s(approx (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (/.f64 (.f64 (.f64 y c) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
	73.4%	#s(approx (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
✓	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	59.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	50.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)) x (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
	56.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
	53.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
	54.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/3 y) -1/2) (*.f64 #s(literal 1/3 binary64) y)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
	60.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y))
	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
	54.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 y y))) x #s(literal 1 binary64)) c)) x)) y))
	23.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) (*.f64 y y)))) x)) y))

Compiler

Compiled 2 086 to 980 computations (53% saved)

regimes203.0ms (1.4%)

Memory

4.5MiB live, 568.8MiB allocated

Counts

80 → 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 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) #s(approx (* (- (exp x) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y y) x))) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) x)) c)
(.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) c (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) (*.f64 y y)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/3 y) -1/2) (*.f64 #s(literal 1/3 binary64) y)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 y y))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) x (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x c c)) (neg.f64 y))) (.f64 y y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)) x (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c))) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 (log1p.f64 #s(approx (/ y (/ 1 (- (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)))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 x) (log.f64 y)))) c)
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 y)) (log.f64 x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (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 (log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
#s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 x))) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
#s(approx (* (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
#s(approx (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (/.f64 (.f64 (.f64 y c) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)))) c)
(.f64 (-.f64 (log.f64 (-.f64 (pow.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)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.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)) y) #s(literal 1 binary64)))) c)
(.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 (log.f64 y)))) c)
(.f64 (log1p.f64 (/.f64 y (exp.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
(.f64 (-.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.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)) y) #s(literal 2 binary64)) (.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)) y)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
(.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(.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 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (-.f64 (log.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.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)
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
(.f64 (log1p.f64 (/.f64 y (.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 c y)) #s(literal 2 binary64)) (pow.f64 (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) c) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 c (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))))) y))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))

Outputs

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

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

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

Calls

9 calls:

26.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
24.0ms	x
23.0ms	y
23.0ms	c
22.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
94.0%	1	`c`
94.0%	1	`x`
99.4%	3	`y`
94.0%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
94.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
94.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
94.0%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
94.0%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
94.0%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes41.0ms (0.3%)

Memory

1.1MiB live, 118.5MiB allocated

Counts

58 → 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 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) #s(approx (* (- (exp x) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y y) x))) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) x)) c)
(.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) c (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) (*.f64 y y)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/3 y) -1/2) (*.f64 #s(literal 1/3 binary64) y)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 y y))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) x (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x c c)) (neg.f64 y))) (.f64 y y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)) x (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c))) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 (log1p.f64 #s(approx (/ y (/ 1 (- (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)))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 x) (log.f64 y)))) c)
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 y)) (log.f64 x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (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 (log1p.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)

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

Calls

2 calls:

21.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
94.0%	1	`x`
94.0%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes148.0ms (1%)

Memory

2.7MiB live, 398.2MiB 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 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 x y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) #s(approx (* (- (exp x) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y y) x))) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) x)) c)
(.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (.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)) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) c (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) (*.f64 y y)))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/3 y) -1/2) (*.f64 #s(literal 1/3 binary64) y)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 y y))) x #s(literal 1 binary64)) c)) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c)) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) x (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x c c)) (neg.f64 y))) (.f64 y y))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 x y) (.f64 #s(literal -1/2 binary64) (fma.f64 x c c))) y (*.f64 #s(literal 1/2 binary64) c)))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 (.f64 x x) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x c c)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (*.f64 #s(literal 1/2 binary64) c)) x c))) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal 1/6 binary64)) c)) x (fma.f64 (.f64 y c) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -7/24 binary64)) y) c (.f64 #s(literal 1/24 binary64) c)) x (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) y) c (.f64 #s(literal 1/6 binary64) c))) x (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c))) x c) x)) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(.f64 #s(approx (- (log (+ 1 (neg (pow ( (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) (*.f64 (expm1.f64 x) y)) c)
(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
(.f64 (log1p.f64 #s(approx (/ y (/ 1 (- (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)))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 #s(approx (log (+ 1 (/ y (/ 1 (- (exp x) 1))))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 x) (log.f64 y)))) c)

Outputs

(*.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)

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

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

Calls

9 calls:

37.0ms	(pow.f64 (E.f64) x)
16.0ms	x
15.0ms	y
15.0ms	c
14.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Results

Accuracy	Segments	Branch
73.9%	1	`c`
85.7%	3	`y`
73.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
73.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
73.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
85.7%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
83.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.1%	2	`(pow.f64 (E.f64) x)`
83.1%	2	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes71.0ms (0.5%)

Memory

9.7MiB live, 198.0MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

26.0ms	x
16.0ms	y
14.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
12.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
83.1%	2	`x`
83.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.1%	2	`(pow.f64 (E.f64) x)`
83.5%	3	`y`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes39.0ms (0.3%)

Memory

18.2MiB live, 135.0MiB allocated

Counts

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

Outputs

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

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

Calls

3 calls:

13.0ms	x
11.0ms	(pow.f64 (E.f64) x)
11.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
83.1%	2	`x`
83.0%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.0%	2	`(pow.f64 (E.f64) x)`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes46.0ms (0.3%)

Memory

-37.8MiB live, 133.1MiB allocated

Counts

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

Outputs

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

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)

Calls

3 calls:

13.0ms	x
10.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
82.8%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.8%	2	`(pow.f64 (E.f64) x)`
82.8%	2	`x`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes43.0ms (0.3%)

Memory

20.8MiB live, 141.3MiB allocated

Counts

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

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

Calls

4 calls:

12.0ms	x
10.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
8.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
82.3%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
82.5%	2	`x`
82.5%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.5%	2	`(pow.f64 (E.f64) x)`

Compiler

Compiled 16 to 23 computations (-43.8% saved)

regimes85.0ms (0.6%)

Memory

6.4MiB live, 245.4MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

11.0ms	x
11.0ms	y
10.0ms	c
9.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
9.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
70.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
70.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
70.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
70.3%	1	`c`
74.9%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
70.3%	1	`y`
74.9%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
74.9%	2	`(pow.f64 (E.f64) x)`
74.9%	2	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes80.0ms (0.6%)

Memory

-2.4MiB live, 240.7MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`c`
60.0%	1	`y`
60.0%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
60.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
60.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
60.0%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
60.0%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
60.0%	1	`(pow.f64 (E.f64) x)`
60.0%	1	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes326.0ms (2.3%)

Memory

-5.9MiB live, 113.9MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

277.0ms	c
7.0ms	x
7.0ms	(pow.f64 (E.f64) x)
6.0ms	y
6.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
59.3%	1	`y`
59.3%	1	`x`
59.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.3%	1	`(pow.f64 (E.f64) x)`
59.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
61.4%	2	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes6.0ms (0%)

Memory

-27.1MiB live, 12.0MiB allocated

Counts

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

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:

4.0ms

Results

Accuracy	Segments	Branch
61.4%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.2%	1	`(pow.f64 (E.f64) x)`
59.2%	1	`y`
59.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.2%	1	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch83.0ms (0.6%)

Memory

-0.6MiB live, 157.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	3727289076191412.5	1.095532959480634e+22
27.0ms	-0.005468692229068895	-0.00020365991438302822

Samples

45.0ms	164×	1	valid
10.0ms	92×	0	valid
8.0ms	86×	0	invalid

Compiler

Compiled 367 to 352 computations (4.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow: 22.0ms (44.2% of total)

ival-e: 11.0ms (22.1% of total)

ival-mult: 6.0ms (12.1% of total)

ival-log1p: 4.0ms (8% of total)

ival-sub: 3.0ms (6% of total)

adjust: 3.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch72.0ms (0.5%)

Memory

-3.3MiB live, 73.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.8983618649141758e-23	8.185457211092429e-19
32.0ms	-1.3556370552940098	-0.005468692229068895

Samples

39.0ms	120×	1	valid
19.0ms	120×	0	valid

Compiler

Compiled 260 to 284 computations (-9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-pow: 23.0ms (54.8% of total)

ival-e: 7.0ms (16.7% of total)

ival-mult: 4.0ms (9.5% of total)

ival-log1p: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.8% of total)

adjust: 2.0ms (4.8% 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9996340052277545

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch46.0ms (0.3%)

Memory

-16.0MiB live, 19.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-3701169.819035374	-237164.9636044285

Samples

38.0ms	96×	0	valid
2.0ms	19×	0	invalid

Compiler

Compiled 147 to 148 computations (-0.7% saved)

Precisions

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

ival-pow: 32.0ms (87.3% of total)

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

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

ival-log1p: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-1018.081347070652	-0.00036606176467863063

Samples

13.0ms	144×	0	valid
4.0ms	47×	0	invalid

Compiler

Compiled 186 to 196 computations (-5.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 5.0ms (40.6% of total)

ival-log1p: 2.0ms (16.2% of total)

ival-mult: 2.0ms (16.2% of total)

ival-e: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 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	-3701169.819035374	-237164.9636044285

Compiler

Compiled 99 to 112 computations (-13.1% saved)

bsearch32.0ms (0.2%)

Memory

-9.1MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.6682227564666854e-49	-1.0673098851503698e-50

Samples

24.0ms	96×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 225 to 196 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 18.0ms (80.5% of total)

ival-sub: 1.0ms (4.5% of total)

ival-log1p: 1.0ms (4.5% of total)

ival-mult: 1.0ms (4.5% of total)

ival-e: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

20.7MiB live, 57.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	4.8583762570072015e-71	6.271341049843703e-70

Samples

16.0ms	45×	1	valid
5.0ms	51×	0	valid

Compiler

Compiled 219 to 190 computations (13.2% saved)

Precisions

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

ival-pow: 7.0ms (39.4% of total)

ival-e: 6.0ms (33.7% of total)

ival-mult: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

adjust: 1.0ms (5.6% of total)

ival-log1p: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory

-3.0MiB live, 88.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	2.5032200752622548e+135	1.3895540120572365e+139

Samples

21.0ms	74×	1	valid
13.0ms	54×	0	valid

Compiler

Compiled 207 to 192 computations (7.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 9.0ms (41.3% of total)

ival-e: 4.0ms (18.3% of total)

ival-log1p: 3.0ms (13.8% of total)

adjust: 2.0ms (9.2% of total)

ival-mult: 2.0ms (9.2% of total)

ival-sub: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory

-25.2MiB live, 50.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
27.0ms	4.850295149636046e-8	6170.107473019263

Samples

17.0ms	53×	1	valid
5.0ms	43×	0	valid

Compiler

Compiled 87 to 100 computations (-14.9% saved)

Precisions

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

ival-pow: 7.0ms (38.4% of total)

ival-log1p: 4.0ms (21.9% of total)

ival-e: 3.0ms (16.4% of total)

ival-mult: 2.0ms (11% of total)

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

adjust: 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)

simplify28.0ms (0.2%)

Memory

-1.2MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	724
1	197	724

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1890791267555229/9223372036854775808 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3800000000000000 binary64)) #s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 c (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 x))) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(if (<=.f64 y #s(literal -1/2 binary64)) (.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2076918743413931/2596148429267413814265248164610048 binary64)) (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (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))
(if (<=.f64 x #s(literal -240000 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -3458764513820541/4611686018427387904 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -240000 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 x #s(literal -8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y)))
(if (<=.f64 c #s(literal 2331202670670875/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y)))
(if (<=.f64 c #s(literal 2599999999999999997591566616977915757064980824432586681122017952079142781694430666032384272059490655570326700914552063683778228575535104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y)))
(if (<=.f64 c #s(literal 7378697629483821/73786976294838206464 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 -1890791267555229/9223372036854775808 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3800000000000000 binary64)) #s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 c (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (expm1.f64 x))) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -1890791267555229/9223372036854775808 binary64)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 3800000000000000 binary64)) #s(approx (* (- (log (+ 1 (neg (pow (* (- (exp x) 1) y) 2)))) (log (+ 1 (* (neg y) (- (exp x) 1))))) c) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) y (expm1.f64 x)) c) y)) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(if (<=.f64 y #s(literal -1/2 binary64)) (.f64 (log1p.f64 (/.f64 y #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2076918743413931/2596148429267413814265248164610048 binary64)) (.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (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))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.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)) y)) c))
(if (<=.f64 x #s(literal -240000 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -240000 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.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)) y)) c))
(if (<=.f64 x #s(literal -3458764513820541/4611686018427387904 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -3458764513820541/4611686018427387904 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 x #s(literal -240000 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 x #s(literal -8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y)))
(if (<=.f64 c #s(literal 2331202670670875/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y)))
(if (<=.f64 c #s(literal 2331202670670875/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) x) c) (.f64 (fma.f64 #s(approx (+ ( (+ (* (+ (* 1/3 y) -1/2) y) 1/6) x) (+ (* -1/2 y) 1/2)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/3 binary64) (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)))) x #s(literal 1 binary64)) c)) x)) y)))
(if (<=.f64 c #s(literal 2599999999999999997591566616977915757064980824432586681122017952079142781694430666032384272059490655570326700914552063683778228575535104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 x c) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y)))
(if (<=.f64 c #s(literal 2599999999999999997591566616977915757064980824432586681122017952079142781694430666032384272059490655570326700914552063683778228575535104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (* (pow (- (pow (E) x) 1) 2) (+ (* (* 1/3 y) (- (pow (E) x) 1)) -1/2))) y) (* (- (pow (E) x) 1) c)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (+ (* 1/3 y) -1/2) y) c) (* 1/6 c)) x) (+ (* -1/2 (* y c)) (* 1/2 c))) (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (.f64 #s(literal 1/2 binary64) c))) x c) x)) y)))
(if (<=.f64 c #s(literal 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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))

soundness1.0s (7.3%)

Memory

19.6MiB live, 1 087.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1874
1	1010	1696
2	3385	1670
0	8408	1516
0	45	273
0	77	273
1	260	271
2	1798	271
0	8157	242
0	1126	13578
1	3890	12931
2	7426	12640
0	8259	10118
0	1011	12897
1	3568	12451
0	8612	10507
0	684	8838
1	2503	8539
0	8367	7617
0	11	44
0	18	44
1	70	44
2	454	39
3	4960	39
0	8940	24

Stop Event

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

Compiler

Compiled 1 269 to 618 computations (51.3% saved)

preprocess145.0ms (1%)

Memory: -5.2MiB live, 197.6MiB allocated
Remove: (negabs c)
Compiler: Compiled 792 to 362 computations (54.3% 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%)

analyze271.0ms (1.9%)

sample3.9s (27.9%)

explain864.0ms (6.1%)

preprocess130.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize101.0ms (0.7%)

series225.0ms (1.6%)

simplify177.0ms (1.2%)

rewrite158.0ms (1.1%)

eval149.0ms (1%)

prune27.0ms (0.2%)

simplify117.0ms (0.8%)

localize218.0ms (1.5%)

series259.0ms (1.8%)

simplify165.0ms (1.2%)

rewrite158.0ms (1.1%)

eval197.0ms (1.4%)

prune90.0ms (0.6%)

simplify110.0ms (0.8%)

localize312.0ms (2.2%)

series448.0ms (3.2%)

simplify324.0ms (2.3%)

rewrite306.0ms (2.2%)

eval282.0ms (2%)

prune325.0ms (2.3%)

simplify239.0ms (1.7%)

localize308.0ms (2.2%)

series858.0ms (6.1%)

simplify210.0ms (1.5%)

rewrite161.0ms (1.1%)

eval232.0ms (1.6%)

prune100.0ms (0.7%)

regimes203.0ms (1.4%)

regimes41.0ms (0.3%)

regimes148.0ms (1%)

regimes71.0ms (0.5%)

regimes39.0ms (0.3%)

regimes46.0ms (0.3%)

regimes43.0ms (0.3%)

regimes85.0ms (0.6%)

regimes80.0ms (0.6%)

regimes326.0ms (2.3%)

regimes6.0ms (0%)

regimes11.0ms (0.1%)

bsearch83.0ms (0.6%)

bsearch72.0ms (0.5%)

bsearch1.0ms (0%)

bsearch46.0ms (0.3%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch32.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch42.0ms (0.3%)

bsearch28.0ms (0.2%)

simplify28.0ms (0.2%)

soundness1.0s (7.3%)

preprocess145.0ms (1%)

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