Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze220.0ms (2%)

Memory

-17.6MiB live, 419.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.3s (29.4%)

Memory

42.9MiB live, 3 316.5MiB allocated

Samples

1.3s	4 637×	1	valid
521.0ms	3 619×	0	valid
365.0ms	1 609×	1	exit
221.0ms	632×	1	invalid
65.0ms	676×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-pow: 840.0ms (42.1% of total)

ival-e: 359.0ms (18% of total)

ival-mult: 266.0ms (13.3% of total)

ival-log1p: 196.0ms (9.8% of total)

adjust: 169.0ms (8.5% of total)

ival-sub: 142.0ms (7.1% of total)

ival-true: 9.0ms (0.5% of total)

exact: 9.0ms (0.5% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

explain290.0ms (2.6%)

Memory

9.0MiB live, 406.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
176	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
147	47	(-1.4679685097056068e+46 6.400389589438138e-238 6.058734839310398e-307)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
13	0	-	2	(1.538202690644751e+206 -2.5758280018401393e-106 2.4260754889875026e-211)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
2	0	-	1	(-4.117084883998527e+275 -54.971115503399716 3.4407264260564677e-37)	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	194	1
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	36	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	11	0
`pow.f64`	`(pow.f64 (E.f64) x)`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	144	0
-	77	35

Precision

0.6515837104072398

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	0	0
-	77	0	35

Precision?

0.6515837104072398

Recall?

1.0

Freqs

test

number	freq
0	35
1	200
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

126.0ms	338×	1	valid
25.0ms	174×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-pow: 39.0ms (41.6% of total)

ival-e: 20.0ms (21.3% of total)

ival-mult: 10.0ms (10.7% of total)

adjust: 8.0ms (8.5% of total)

ival-log1p: 7.0ms (7.5% of total)

ival-sub: 5.0ms (5.3% of total)

ival-add: 4.0ms (4.3% of total)

ival-true: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

preprocess127.0ms (1.1%)

Memory

-9.1MiB live, 75.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify17.0ms (0.2%)

Memory

-2.6MiB live, 36.4MiB 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

localize143.0ms (1.3%)

Memory

20.0MiB live, 137.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.041281078419591666	(pow.f64 (E.f64) x)
accuracy	2.820780948612995	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	33.613019194333496	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	40.657449534676296	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

123.0ms	169×	1	valid
10.0ms	87×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 43.0ms (63.9% of total)

ival-e: 8.0ms (11.9% of total)

ival-mult: 5.0ms (7.4% of total)

adjust: 4.0ms (5.9% of total)

ival-log1p: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series727.0ms (6.5%)

Memory

-248.4MiB live, 480.8MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
320.0ms	y	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
110.0ms	c	@	0	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
95.0ms	x	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
54.0ms	c	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
53.0ms	c	@	-inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify273.0ms (2.5%)

Memory

17.1MiB live, 249.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

Outputs
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rewrite265.0ms (2.4%)

Memory

-24.5MiB live, 261.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 363

Calls

Call 1

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

Outputs
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eval98.0ms (0.9%)

Memory: 8.6MiB live, 203.8MiB allocated
Compiler: Compiled 10 272 to 2 170 computations (78.9% saved)

prune46.0ms (0.4%)

Memory

-11.8MiB live, 70.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	485	10	495
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	486	10	496

Accuracy

99.9%

Counts

496 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	84.7%	(.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))))))
	41.1%	(.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)))))
	44.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
▶	33.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	46.6%	(.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)))
▶	47.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	57.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
▶	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
▶	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))

Compiler

Compiled 238 to 196 computations (17.6% saved)

simplify128.0ms (1.2%)

Memory

20.3MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	57	219
1	95	219
2	166	219
3	417	219
4	1237	219
5	2968	183
6	5741	183
0	8192	176

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.4%)

Memory

-14.5MiB live, 226.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.041281078419591666	(pow.f64 (E.f64) x)
accuracy	2.820780948612995	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	14.883129285773062	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
accuracy	40.657449534676296	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	2.820780948612995	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	14.919347646802116	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	33.613019194333496	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	1.4533077561534236	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy	1.9708963851976844	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
accuracy	5.962103202801654	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	25.48895122019481	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
accuracy	0	(*.f64 y c)
accuracy	3.5308046455901008	(.f64 (.f64 y c) x)
accuracy	24.61307971117901	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0	(expm1.f64 x)
accuracy	0.0078125	(*.f64 y (expm1.f64 x))
accuracy	2.820780948612995	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

108.0ms	169×	1	valid
19.0ms	87×	0	valid

Compiler

Compiled 199 to 27 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 25.0ms (31.4% of total)

ival-pow: 20.0ms (25.1% of total)

adjust: 8.0ms (10% of total)

ival-e: 7.0ms (8.8% of total)

ival-log1p: 7.0ms (8.8% of total)

ival-expm1: 6.0ms (7.5% of total)

ival-sub: 4.0ms (5% of total)

ival-add: 3.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series249.0ms (2.2%)

Memory

13.8MiB live, 516.8MiB allocated

Counts

18 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
84.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))))
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))))
28.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))))
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))))
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))))

simplify138.0ms (1.2%)

Memory

20.1MiB live, 269.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	7203
1	2059	7000
2	6687	6967
0	8463	5542

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 490

Calls

Call 1

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

rewrite131.0ms (1.2%)

Memory

7.8MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	190
0	57	187
1	180	187
2	1177	151
0	9180	148

Stop Event

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

Counts

18 → 380

Calls

Call 1

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

Outputs
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eval162.0ms (1.5%)

Memory: -45.6MiB live, 282.1MiB allocated
Compiler: Compiled 16 221 to 2 217 computations (86.3% saved)

prune50.0ms (0.5%)

Memory

20.6MiB live, 143.7MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	852	18	870
Fresh	5	0	5
Picked	2	3	5
Done	0	0	0
Total	859	21	880

Accuracy

99.9%

Counts

880 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.7%	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
✓	95.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.9%	(.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)
	67.7%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	57.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
▶	31.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
	32.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	33.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
	55.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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)))
	56.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) 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)))
	74.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	54.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
▶	56.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
▶	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	58.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
▶	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
	31.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 516 to 432 computations (16.3% saved)

simplify141.0ms (1.3%)

Memory

21.5MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
cost-diff	128	(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))
cost-diff	1024	(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y)
cost-diff	0	(-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)
cost-diff	0	#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))
cost-diff	0	(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (.f64 c x) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
cost-diff	0	(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
cost-diff	0	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	541
0	94	541
1	171	541
2	345	541
3	956	513
4	3378	501
5	6277	501
0	8224	465

Stop Event

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

Calls

Call 1

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

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

localize302.0ms (2.7%)

Memory

-22.6MiB live, 501.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.4533077561534236	(.f64 c #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)))
accuracy	1.9708963851976844	(.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x)
accuracy	5.953167830329917	(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y)
accuracy	25.48895122019481	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
accuracy	2.820780948612995	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
accuracy	14.883129285773062	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y))
accuracy	19.538936457845317	#s(approx (pow (E) x) (fma.f64 (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	40.657449534676296	(-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64))
accuracy	1.9708963851976844	(.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x)
accuracy	2.872865068826468	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)
accuracy	10.099889981170763	#s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))
accuracy	25.48895122019481	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
accuracy	0	(*.f64 c x)
accuracy	6.275817204638337	(.f64 (.f64 c x) y)
accuracy	24.61307971117901	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.18919760745286215	(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))
accuracy	2.820780948612995	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
accuracy	5.100407246582428	(log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))
accuracy	6.783554963851563	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))

Samples

193.0ms	169×	1	valid
32.0ms	87×	0	valid

Compiler

Compiled 411 to 51 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 85.0ms (46.1% of total)

ival-pow: 27.0ms (14.6% of total)

adjust: 16.0ms (8.7% of total)

ival-add: 12.0ms (6.5% of total)

ival-expm1: 10.0ms (5.4% of total)

ival-log1p: 10.0ms (5.4% of total)

ival-sub: 8.0ms (4.3% of total)

ival-e: 7.0ms (3.8% of total)

const: 4.0ms (2.2% of total)

ival-div: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series373.0ms (3.4%)

Memory

-2.3MiB live, 821.0MiB allocated

Counts

22 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
82.0ms	c	@	0	((* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* (* (+ (* 1/2 x) 1) c) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (/ (+ (* -1/2 x) -1) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1)))) (pow (E) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)))
59.0ms	x	@	-inf	((* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* (* (+ (* 1/2 x) 1) c) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (/ (+ (* -1/2 x) -1) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1)))) (pow (E) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)))
56.0ms	x	@	inf	((* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* (* (+ (* 1/2 x) 1) c) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (/ (+ (* -1/2 x) -1) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1)))) (pow (E) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)))
39.0ms	c	@	-inf	((* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* (* (+ (* 1/2 x) 1) c) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (/ (+ (* -1/2 x) -1) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1)))) (pow (E) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)))
34.0ms	c	@	inf	((* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (pow (* (- (exp x) 1) y) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* (* (+ (* 1/2 x) 1) c) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (/ (+ (* -1/2 x) -1) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1)))) (pow (E) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)))

simplify192.0ms (1.7%)

Memory

16.3MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	11246
1	2729	10750
0	9051	9375

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

rewrite162.0ms (1.5%)

Memory

14.4MiB live, 202.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	409
0	94	409
1	375	409
2	2912	409
0	8487	388

Stop Event

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

Counts

22 → 252

Calls

Call 1

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

Outputs
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eval112.0ms (1%)

Memory: 4.7MiB live, 233.5MiB allocated
Compiler: Compiled 20 765 to 2 328 computations (88.8% saved)

prune103.0ms (0.9%)

Memory

-19.5MiB live, 150.3MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	876	12	888
Fresh	4	9	13
Picked	1	4	5
Done	0	3	3
Total	881	28	909

Accuracy

100.0%

Counts

909 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(fma.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
	50.5%	(/.f64 (.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 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
✓	84.7%	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
✓	95.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.9%	(.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)
▶	67.7%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	4.7%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (-.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) c)
	15.6%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) c)
▶	57.2%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y)) c)
✓	31.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
	32.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	33.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
	55.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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)))
	56.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) 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)))
	74.3%	#s(approx (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	54.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
▶	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x))
	58.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))) y))) x))
	32.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (.f64 (.f64 #s(literal -1/2 binary64) x) y)) y))) x))
✓	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
✓	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
	31.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) c))) x))
	43.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (neg.f64 x) (fma.f64 (neg.f64 c) (/.f64 y x) (.f64 (*.f64 y c) #s(literal -1/2 binary64)))))) x))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
▶	31.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))

Compiler

Compiled 809 to 629 computations (22.2% saved)

simplify178.0ms (1.6%)

Memory

18.3MiB live, 210.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	528
0	102	516
1	204	516
2	412	516
3	1129	508
4	3465	508
5	5684	502
0	8463	478

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (2.1%)

Memory

23.3MiB live, 336.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y)))
accuracy	2.820780948612995	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
accuracy	19.20664369258034	#s(approx (* y (- (exp x) 1)) (*.f64 x y))
accuracy	1.9708963851976844	(.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x)
accuracy	5.953167830329917	(.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ ( -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y)
accuracy	20.092871216249325	#s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))
accuracy	25.48895122019481	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x))
accuracy	4.545772438601056	(.f64 (.f64 (*.f64 x x) y) y)
accuracy	6.9960103926198185	(.f64 (.f64 x x) y)
accuracy	25.48895122019481	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
accuracy	28.70235614517797	#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	2.820780948612995	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y)) c)
accuracy	25.65984805660409	#s(approx (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y))
accuracy	0.7116083192244183	(.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x))
accuracy	2.824687198612995	(.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c)
accuracy	5.100407246582428	(log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))
accuracy	6.783554963851563	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

145.0ms	149×	1	valid
43.0ms	107×	0	valid

Compiler

Compiled 437 to 59 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 48.0ms (31.5% of total)

ival-pow: 29.0ms (19% of total)

ival-log1p: 21.0ms (13.8% of total)

adjust: 16.0ms (10.5% of total)

ival-add: 10.0ms (6.6% of total)

ival-expm1: 9.0ms (5.9% of total)

ival-e: 7.0ms (4.6% of total)

ival-sub: 5.0ms (3.3% of total)

ival-div: 4.0ms (2.6% of total)

ival-neg: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series265.0ms (2.4%)

Memory

-11.9MiB live, 452.2MiB allocated

Counts

25 → 732

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	c	@	0	((+ (* (log (+ 1 (pow (* y (- (exp x) 1)) 3))) c) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c)) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* y (- (exp x) 1)) (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (* (* (* x x) y) y) c) -1/2) (* (* (* (* x x) y) y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)))) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c) (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (* (* x x) y) (* (* (* x x) y) y) (/ (+ (* -1/2 x) -1) (neg y)) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y))
40.0ms	c	@	inf	((+ (* (log (+ 1 (pow (* y (- (exp x) 1)) 3))) c) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c)) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* y (- (exp x) 1)) (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (* (* (* x x) y) y) c) -1/2) (* (* (* (* x x) y) y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)))) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c) (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (* (* x x) y) (* (* (* x x) y) y) (/ (+ (* -1/2 x) -1) (neg y)) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y))
40.0ms	c	@	-inf	((+ (* (log (+ 1 (pow (* y (- (exp x) 1)) 3))) c) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c)) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* y (- (exp x) 1)) (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (* (* (* x x) y) y) c) -1/2) (* (* (* (* x x) y) y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)))) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c) (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (* (* x x) y) (* (* (* x x) y) y) (/ (+ (* -1/2 x) -1) (neg y)) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y))
36.0ms	x	@	inf	((+ (* (log (+ 1 (pow (* y (- (exp x) 1)) 3))) c) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c)) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* y (- (exp x) 1)) (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (* (* (* x x) y) y) c) -1/2) (* (* (* (* x x) y) y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)))) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c) (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (* (* x x) y) (* (* (* x x) y) y) (/ (+ (* -1/2 x) -1) (neg y)) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y))
36.0ms	x	@	-inf	((+ (* (log (+ 1 (pow (* y (- (exp x) 1)) 3))) c) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c)) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* y (- (exp x) 1)) (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (* (* (* x x) y) y) c) -1/2) (* (* (* (* x x) y) y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)))) (* (neg (log (+ 1 (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1))))) c) (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (* (* x x) y) (* (* (* x x) y) y) (/ (+ (* -1/2 x) -1) (neg y)) (* (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y))

simplify192.0ms (1.7%)

Memory

13.1MiB live, 239.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	968	13531
1	3356	13015
0	8323	10830

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 731

Calls

Call 1

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

rewrite198.0ms (1.8%)

Memory

22.0MiB live, 259.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	439
0	102	427
1	431	417
2	2656	417
0	9699	399

Stop Event

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

Counts

25 → 289

Calls

Call 1

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

Outputs
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eval136.0ms (1.2%)

Memory: 26.1MiB live, 243.9MiB allocated
Compiler: Compiled 24 465 to 2 610 computations (89.3% saved)

prune89.0ms (0.8%)

Memory

-3.6MiB live, 165.3MiB allocated

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1 033	13	1 046
Fresh	5	11	16
Picked	2	3	5
Done	0	7	7
Total	1 040	34	1 074

Accuracy

100.0%

Counts

1 074 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(fma.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 #s(approx (* (* (+ (* y (- (exp x) 1)) -1) y) (- (exp x) 1)) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (.f64 y y))))) c))
	70.2%	(fma.f64 (log1p.f64 (pow.f64 #s(approx (* y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
	54.1%	(fma.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) c (.f64 (neg.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
	8.1%	(fma.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) c (.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
	50.5%	(/.f64 (.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 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
✓	84.7%	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
	64.3%	(.f64 (-.f64 (log1p.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y)) #s(literal 2 binary64)) #s(approx ( y (- (exp x) 1)) (*.f64 x y))))) c)
✓	95.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.9%	(.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)
✓	67.7%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	15.4%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) c)
	4.6%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (-.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 y)) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) c)
✓	57.2%	(.f64 #s(approx (- (log (+ 1 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y)) c)
✓	31.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
	32.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	33.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
	55.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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)))
	56.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) 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)))
	74.3%	#s(approx (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (.f64 (.f64 (expm1.f64 x) c) y))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
	58.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) y))) x))
	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
✓	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x))
✓	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
✓	58.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
	31.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) c))) x))
	43.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (neg.f64 x) (fma.f64 (neg.f64 c) (/.f64 y x) (.f64 (*.f64 y c) #s(literal -1/2 binary64)))))) x))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
	41.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (/.f64 (.f64 y c) x)) (*.f64 x x))))
	31.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x y) x) y) c) #s(literal -1/2 binary64))))
	31.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x y) (*.f64 x y)) c) #s(literal -1/2 binary64))))
	31.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x x) y) (*.f64 c y)) #s(literal -1/2 binary64))))
	29.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 x x) (.f64 (.f64 y y) (*.f64 #s(literal -1/2 binary64) c)))))

Compiler

Compiled 1 437 to 751 computations (47.7% saved)

regimes135.0ms (1.2%)

Memory

-12.4MiB live, 226.9MiB allocated

Counts

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

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

Calls

9 calls:

17.0ms	y
17.0ms	c
16.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
15.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
15.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
95.6%	1	`c`
95.6%	1	`x`
99.8%	3	`y`
95.6%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
95.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
95.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
95.6%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
95.6%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
95.6%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes139.0ms (1.2%)

Memory

11.8MiB live, 127.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

9 calls:

34.0ms	(pow.f64 (E.f64) x)
29.0ms	x
18.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
11.0ms	c
11.0ms	y

Results

Accuracy	Segments	Branch
74.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
75.9%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
75.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
82.9%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
82.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.1%	2	`(pow.f64 (E.f64) x)`
79.7%	2	`c`
82.1%	2	`x`
87.1%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes150.0ms (1.3%)

Memory

-23.0MiB live, 17.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

148.0ms

Results

Accuracy	Segments	Branch
87.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes177.0ms (1.6%)

Memory

22.8MiB live, 60.7MiB 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 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) c))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 x x) (.f64 (.f64 y y) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x x) y) (*.f64 c y)) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x y) (*.f64 x y)) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x y) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (.f64 (.f64 #s(literal -1/2 binary64) x) y)) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (neg.f64 x) (fma.f64 (neg.f64 c) (/.f64 y x) (.f64 (*.f64 y c) #s(literal -1/2 binary64)))))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (/.f64 (.f64 y c) x)) (*.f64 x x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) 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)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
#s(approx (* (- (log (+ 1 (pow (* (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) c) (.f64 (.f64 (expm1.f64 x) c) y))

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

Calls

6 calls:

133.0ms	x
9.0ms	c
9.0ms	y
8.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
7.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
76.0%	2	`c`
74.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
74.3%	1	`x`
74.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
74.3%	1	`(pow.f64 (E.f64) x)`
76.8%	2	`y`

Compiler

Compiled 18 to 29 computations (-61.1% saved)

regimes227.0ms (2%)

Memory

-54.9MiB live, 93.2MiB 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 (pow ( (- (exp x) 1) y) 3))) (log (+ 1 (* (* (- (exp x) 1) y) (+ (* (- (exp x) 1) y) -1))))) (*.f64 x y)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) c))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 x x) (.f64 (.f64 y y) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x x) y) (*.f64 c y)) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 x y) (*.f64 x y)) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x y) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (.f64 (.f64 #s(literal -1/2 binary64) x) y)) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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(literal 1 binary64)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 #s(approx ( (+ (* -1/2 x) (/ (+ (* -1/2 x) -1) (neg y))) y) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(approx (/ (+ (* -1/2 x) -1) (neg y)) (/.f64 #s(literal 1 binary64) y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) #s(approx (* (* (+ (* 1/2 x) 1) c) y) (.f64 (neg.f64 x) (fma.f64 (neg.f64 c) (/.f64 y x) (.f64 (*.f64 y c) #s(literal -1/2 binary64)))))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (/.f64 (.f64 y c) x)) (*.f64 x x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) 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)))
(.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 (.f64 c x) y))

Calls

9 calls:

114.0ms	c
9.0ms	x
9.0ms	y
8.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
8.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
61.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.3%	1	`x`
61.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
61.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
61.3%	1	`(pow.f64 (E.f64) x)`
61.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
61.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
63.2%	2	`c`
61.3%	1	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes11.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
58.9%	1	`x`
58.9%	1	`(pow.f64 (E.f64) x)`
58.9%	1	`y`
58.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
58.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
58.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
58.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
58.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
58.9%	1	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch54.0ms (0.5%)

Memory

1.1MiB live, 38.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4796943401246205e-58	7.376198292632883e-58
33.0ms	-3.1738604750596905e-6	-1.0034413369381925e-7

Samples

27.0ms	120×	1	valid
16.0ms	88×	0	valid

Compiler

Compiled 197 to 224 computations (-13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 11.0ms (41.2% of total)

ival-e: 5.0ms (18.7% of total)

ival-mult: 4.0ms (15% of total)

adjust: 2.0ms (7.5% of total)

ival-sub: 2.0ms (7.5% of total)

ival-log1p: 2.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch98.0ms (0.9%)

Memory

19.2MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	2.4669056241136375e-16	6.067816640582691e-12
30.0ms	-849174983.0921568	-4063.17723109194

Samples

46.0ms	107×	0	valid
37.0ms	165×	1	valid
0.0ms	1×	0	invalid

Compiler

Compiled 293 to 320 computations (-9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 16.0ms (43.9% of total)

ival-e: 7.0ms (19.2% of total)

ival-mult: 5.0ms (13.7% of total)

adjust: 3.0ms (8.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4669056241136375e-16	6.067816640582691e-12
1.0ms	-849174983.0921568	-4063.17723109194

Compiler

Compiled 253 to 288 computations (-13.8% saved)

bsearch11.0ms (0.1%)

Memory

-33.8MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.4669056241136375e-16	6.067816640582691e-12

Compiler

Compiled 119 to 136 computations (-14.3% saved)

bsearch9.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	1.0690128036764505e+76	4.7841922842125714e+83

Samples

6.0ms	24×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow: 2.0ms (38.4% of total)

ival-mult: 1.0ms (19.2% of total)

ival-e: 1.0ms (19.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

ival-log1p: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify38.0ms (0.3%)

Memory

-4.6MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	243
1	78	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -7706902100043261/75557863725914323419136 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5088519546561747/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y))))
(if (<=.f64 c #s(literal 100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 -7706902100043261/75557863725914323419136 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5088519546561747/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -7706902100043261/75557863725914323419136 binary64)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 5088519546561747/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal -4100 binary64)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (.f64 x y))) c) (if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y))))
(if (<=.f64 y #s(literal 3713820117856141/618970019642690137449562112 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (expm1.f64 x)) y)) (.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)) c))
(if (<=.f64 c #s(literal 100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 100000000000000000026609864708367276537402401181200809098131977453489758916313088 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))

soundness801.0ms (7.2%)

Memory

34.3MiB live, 380.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1930
1	1018	1746
2	3394	1720
0	8432	1561
0	585	7203
1	2059	7000
2	6687	6967
0	8463	5542
0	35	190
0	57	187
1	180	187
2	1177	151
0	9180	148
0	11	46
0	18	46
1	70	46
2	454	40
3	4960	40
0	8940	25

Stop Event

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

Compiler

Compiled 618 to 294 computations (52.4% saved)

preprocess102.0ms (0.9%)

Memory: -11.5MiB live, 104.1MiB allocated
Remove: (negabs c)
Compiler: Compiled 358 to 164 computations (54.2% 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%)

analyze220.0ms (2%)

sample3.3s (29.4%)

explain290.0ms (2.6%)

preprocess127.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize143.0ms (1.3%)

series727.0ms (6.5%)

simplify273.0ms (2.5%)

rewrite265.0ms (2.4%)

eval98.0ms (0.9%)

prune46.0ms (0.4%)

simplify128.0ms (1.2%)

localize150.0ms (1.4%)

series249.0ms (2.2%)

simplify138.0ms (1.2%)

rewrite131.0ms (1.2%)

eval162.0ms (1.5%)

prune50.0ms (0.5%)

simplify141.0ms (1.3%)

localize302.0ms (2.7%)

series373.0ms (3.4%)

simplify192.0ms (1.7%)

rewrite162.0ms (1.5%)

eval112.0ms (1%)

prune103.0ms (0.9%)

simplify178.0ms (1.6%)

localize233.0ms (2.1%)

series265.0ms (2.4%)

simplify192.0ms (1.7%)

rewrite198.0ms (1.8%)

eval136.0ms (1.2%)

prune89.0ms (0.8%)

regimes135.0ms (1.2%)

regimes139.0ms (1.2%)

regimes150.0ms (1.3%)

regimes177.0ms (1.6%)

regimes227.0ms (2%)

regimes11.0ms (0.1%)

bsearch54.0ms (0.5%)

bsearch98.0ms (0.9%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify38.0ms (0.3%)

soundness801.0ms (7.2%)

preprocess102.0ms (0.9%)

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