Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze197.0ms (1.5%)

Memory

33.1MiB live, 297.6MiB 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)

sample3.6s (27.9%)

Memory

-201.2MiB live, 3 470.7MiB allocated

Samples

1.4s	4 595×	1	valid
602.0ms	661×	1	invalid
418.0ms	3 661×	0	valid
278.0ms	1 602×	1	exit
88.0ms	672×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-pow: 1.1s (48.6% of total)

ival-e: 344.0ms (14.9% of total)

ival-mult: 265.0ms (11.5% of total)

ival-log1p: 206.0ms (8.9% of total)

ival-sub: 193.0ms (8.4% of total)

adjust: 150.0ms (6.5% of total)

ival-true: 11.0ms (0.5% of total)

exact: 10.0ms (0.4% of total)

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

Bogosity

explain289.0ms (2.3%)

Memory

-23.2MiB live, 631.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	1	(-1.1451570675838517e+174 -0.0015799618065463568 -1.4318394456562939e-182)	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
164	48	(-2.98565245495399e+296 1.4332982977218314e-306 -1.1714035554027448e-178)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
21	1	(-8.259122888440716e+83 4.591945998056975e-212 1.0120920664840436e-196)	5	(1.0024222740362359e+29 -2.1497890253554836e-277 4.631963092274926e-43)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
1	0	-	0	-	`(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	210	0
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	33	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	17	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	oflow-rescue	2	0
↳	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`	overflow	2
↳	`(pow.f64 (E.f64) x)`	overflow	2
↳	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	overflow	2
`pow.f64`	`(pow.f64 (E.f64) x)`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	167	0
-	71	18

Precision

0.7016806722689075

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	0
-	71	0	18

Precision?

0.7016806722689075

Recall?

1.0

Freqs

test

number	freq
0	18
1	213
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

143.0ms	340×	1	valid
18.0ms	172×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

adjust: 41.0ms (33.9% of total)

ival-pow: 36.0ms (29.8% of total)

ival-e: 15.0ms (12.4% of total)

ival-mult: 11.0ms (9.1% of total)

ival-log1p: 7.0ms (5.8% of total)

ival-sub: 5.0ms (4.1% of total)

ival-add: 4.0ms (3.3% of total)

ival-true: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

preprocess126.0ms (1%)

Memory

7.6MiB live, 94.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	(.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 (0.1%)

Memory

-7.2MiB live, 32.3MiB 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

localize72.0ms (0.6%)

Memory

15.1MiB live, 173.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.020499716849389005	(pow.f64 (E.f64) x)
accuracy	4.352010901142877	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	37.38099057658867	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	40.795300612419695	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

52.0ms	170×	1	valid
9.0ms	86×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-pow: 20.0ms (44.2% of total)

ival-e: 8.0ms (17.7% of total)

ival-mult: 5.0ms (11.1% of total)

adjust: 4.0ms (8.8% of total)

ival-sub: 3.0ms (6.6% of total)

ival-log1p: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series273.0ms (2.1%)

Memory

8.8MiB live, 443.0MiB 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>) () ())) ())
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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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	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))
58.0ms	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))
39.0ms	x	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
28.0ms	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))
15.0ms	c	@	-inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify180.0ms (1.4%)

Memory

17.8MiB live, 243.6MiB 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)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (pow (E) x) 1))
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
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(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
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(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
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(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
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(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* 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 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* 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))))))))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
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(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E)))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
1
(+ 1 (* x (log (E))))
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(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)))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(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)))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(pow (E) x)

Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (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
#s(literal 1 binary64)
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (pow (E) x) 1))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(* 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))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(* c (* y (- (pow (E) x) 1)))
(.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 c (fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
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(* y (- (pow (E) x) 1))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
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(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
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(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y))) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(*.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
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1
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(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
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(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
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(- (pow (E) x) 1)
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(pow (E) x)
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(pow (E) x)
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rewrite152.0ms (1.2%)

Memory

-1.3MiB live, 317.3MiB 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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eval104.0ms (0.8%)

Memory: -14.3MiB live, 227.7MiB allocated
Compiler: Compiled 10 272 to 2 170 computations (78.9% saved)

prune25.0ms (0.2%)

Memory

18.7MiB live, 96.5MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

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

Accuracy

99.2%

Counts

496 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	83.2%	(.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))))))
	82.9%	(.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
	48.5%	(.f64 c (log.f64 (fma.f64 (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64))))
	30.3%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y))))
	37.2%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
▶	38.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.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))))
	39.7%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) x) y))))
	37.9%	(.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)))))
	38.4%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
	39.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
	31.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	51.1%	(.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)))
	54.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
▶	49.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	56.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
▶	55.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
▶	65.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))

Compiler

Compiled 546 to 426 computations (22% saved)

simplify158.0ms (1.2%)

Memory

1.9MiB live, 273.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	408
0	83	402
1	149	399
2	360	399
3	1134	357
4	3140	357
5	3977	352
6	5647	352
0	8128	333

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (1.8%)

Memory

-39.1MiB live, 420.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	4.352010901142877	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.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))))
accuracy	18.79129595711984	#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))
accuracy	37.38099057658867	(log.f64 (+.f64 #s(literal 1 binary64) (.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)))
accuracy	0.020499716849389005	(pow.f64 (E.f64) x)
accuracy	4.352010901142877	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	11.130369044258627	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
accuracy	40.795300612419695	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	1.5884489649545905	(.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x)
accuracy	2.863584327731758	(fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (.f64 y c))
accuracy	8.274619314006955	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
accuracy	23.975462324978587	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
accuracy	0	(*.f64 y c)
accuracy	3.9260720102466298	(.f64 (.f64 y c) x)
accuracy	23.53939035946059	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0	(expm1.f64 x)
accuracy	0.00390625	(*.f64 y (expm1.f64 x))
accuracy	0.4880046080552395	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	4.352010901142877	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

138.0ms	170×	1	valid
28.0ms	86×	0	valid

Compiler

Compiled 342 to 41 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 40.0ms (30.7% of total)

ival-pow: 33.0ms (25.3% of total)

adjust: 12.0ms (9.2% of total)

ival-add: 12.0ms (9.2% of total)

ival-e: 10.0ms (7.7% of total)

ival-expm1: 7.0ms (5.4% of total)

ival-log1p: 6.0ms (4.6% of total)

ival-sub: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series325.0ms (2.5%)

Memory

23.7MiB live, 451.5MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
76.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (- (pow (E) x) 1) (+ (* 1/6 x) 1/2))
47.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (- (pow (E) x) 1) (+ (* 1/6 x) 1/2))
33.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (- (pow (E) x) 1) (+ (* 1/6 x) 1/2))
26.0ms	c	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (- (pow (E) x) 1) (+ (* 1/6 x) 1/2))
24.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 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) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (- (pow (E) x) 1) (+ (* 1/6 x) 1/2))

simplify218.0ms (1.7%)

Memory

-2.8MiB live, 271.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	736	9108
1	2615	8843
0	8722	7761

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

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

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

rewrite213.0ms (1.7%)

Memory

18.3MiB live, 298.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	312
0	83	312
1	305	309
2	2345	309
0	8749	281

Stop Event

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

Counts

22 → 473

Calls

Call 1

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

Outputs
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eval149.0ms (1.2%)

Memory: 29.9MiB live, 323.1MiB allocated
Compiler: Compiled 29 017 to 3 421 computations (88.2% saved)

prune69.0ms (0.5%)

Memory

-5.1MiB live, 194.2MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 025	25	1 050
Fresh	11	2	13
Picked	3	2	5
Done	0	0	0
Total	1 039	29	1 068

Accuracy

99.3%

Counts

1 068 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
	65.3%	(.f64 (log1p.f64 (.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)) c)
✓	92.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
▶	63.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.6%	(.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)
	65.9%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
	51.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
	54.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	76.4%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
	56.5%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	83.2%	(.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))))))
	30.3%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y))))
	31.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) y (neg.f64 y)))))
	28.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	29.7%	(.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)))
	31.1%	(.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)))
	54.2%	(.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)))
	55.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))
	11.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
▶	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) x (.f64 (.f64 c y) x)))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) c) (/.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x) y))))
✓	65.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
▶	61.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	62.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) c) y)) x))
	28.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) c (fma.f64 c (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) (/.f64 x y) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) y)) (/.f64 c (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x))
	34.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) c (/.f64 (fma.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
▶	61.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)))
	30.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (/.f64 (*.f64 y c) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 1 059 to 775 computations (26.8% saved)

simplify138.0ms (1.1%)

Memory

-25.5MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
cost-diff	0	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) x (.f64 (.f64 c y) x)))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))
cost-diff	640	(fma.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) x (.f64 (.f64 c y) x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)
cost-diff	0	#s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (.f64 c x) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
cost-diff	0	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
cost-diff	0	(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
cost-diff	6400	(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	561
0	118	555
1	242	547
2	600	547
3	2021	544
4	5872	544
5	6751	544
0	8098	497

Stop Event

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

Calls

Call 1

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

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

localize437.0ms (3.4%)

Memory

23.1MiB live, 530.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.4880046080552395	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
accuracy	4.352010901142877	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
accuracy	19.199224004039518	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	3.9260720102466298	(.f64 (.f64 c y) x)
accuracy	4.338551275957933	(.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y)))))
accuracy	8.258994314006955	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))
accuracy	23.975462324978587	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) x (.f64 (.f64 c y) x)))
accuracy	2.593946278477259	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c)
accuracy	4.0257464813066	(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)
accuracy	6.638917002388456	#s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y))
accuracy	23.975462324978587	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)))
accuracy	0	(*.f64 c x)
accuracy	4.010911110764725	(.f64 (.f64 c x) y)
accuracy	23.53939035946059	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.14011861218587268	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	0.4880046080552395	(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
accuracy	0.53125	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy	4.352010901142877	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)

Samples

253.0ms	147×	1	valid
65.0ms	104×	0	valid
15.0ms	5×	2	valid

Compiler

Compiled 467 to 73 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 100.0ms (37% of total)

adjust: 47.0ms (17.4% of total)

ival-add: 34.0ms (12.6% of total)

ival-pow: 21.0ms (7.8% of total)

ival-expm1: 19.0ms (7% of total)

ival-log1p: 13.0ms (4.8% of total)

ival-e: 11.0ms (4.1% of total)

const: 11.0ms (4.1% of total)

ival-sub: 5.0ms (1.9% of total)

ival-exp: 5.0ms (1.9% of total)

ival-div: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series357.0ms (2.8%)

Memory

36.0MiB live, 452.3MiB allocated

Counts

24 → 648

Calls

Call 1

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

Outputs
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) (patch (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) (patch (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) (patch (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) (patch (.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor 0 c) (#s(alt (.f64 (.f64 c x) y) (patch (.f64 (.f64 c x) y) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y))) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y))) (patch #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y))) #<representation binary64>) () ())) ())
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#s(alt (log (+ 1 (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (patch (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (patch (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (exp x) 1)))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (patch (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 x #s(literal 3 binary64))) (patch (expm1.f64 (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 x #s(literal 3 binary64))) (patch (expm1.f64 (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 x #s(literal 3 binary64))) (patch (expm1.f64 (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 x #s(literal 3 binary64))) (patch (expm1.f64 (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* c (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 c) (* 1/2 (/ c x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ c x)) (* -1/2 c)) x)) (* 1/6 c))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ c x)) (* -1/2 c)) x)) (* 1/6 c))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* c (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))) (taylor -inf x) (#s(alt (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) (patch (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) (patch (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) (patch (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) (patch (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	c	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (* 1/2 (- y (* y y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (* c y) x) (+ (* 1/24 x) 1/6))
65.0ms	c	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (* 1/2 (- y (* y y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (* c y) x) (+ (* 1/24 x) 1/6))
48.0ms	x	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (* 1/2 (- y (* y y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (* c y) x) (+ (* 1/24 x) 1/6))
45.0ms	x	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (* 1/2 (- y (* y y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (* c y) x) (+ (* 1/24 x) 1/6))
40.0ms	c	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (* 1/2 (- y (* y y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (* c y) x) (+ (* 1/24 x) 1/6))

simplify213.0ms (1.7%)

Memory

10.7MiB live, 311.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	998	12384
1	3438	11920
0	8437	10379

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 646

Calls

Call 1

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

rewrite198.0ms (1.5%)

Memory

22.2MiB live, 329.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	442
0	118	436
1	507	398
2	3781	389
0	9701	364

Stop Event

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

Counts

24 → 428

Calls

Call 1

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

Outputs
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eval187.0ms (1.5%)

Memory: -17.7MiB live, 352.4MiB allocated
Compiler: Compiled 31 878 to 3 318 computations (89.6% saved)

prune141.0ms (1.1%)

Memory

-8.9MiB live, 151.2MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 091	9	1 100
Fresh	4	18	22
Picked	3	2	5
Done	0	2	2
Total	1 098	31	1 129

Accuracy

99.3%

Counts

1 129 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.9%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
	65.3%	(.f64 (log1p.f64 (.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)) c)
✓	92.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
✓	63.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
▶	63.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.6%	(.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)
	65.9%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
▶	56.5%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	51.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
	54.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	76.4%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
▶	83.2%	(.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))))))
	30.3%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y))))
	31.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) y (neg.f64 y)))))
	28.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	29.7%	(.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)))
	31.1%	(.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)))
	54.2%	(.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)))
	11.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
▶	62.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) c) (/.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x) y))))
✓	65.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
✓	61.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
▶	62.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) c) y)) x))
	28.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) c (fma.f64 c (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) (/.f64 x y) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) y)) (/.f64 c (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x))
	34.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) c (/.f64 (fma.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
	60.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 #s(literal 1/2 binary64) (*.f64 x c) c)) x) y)))
	27.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) c)) (*.f64 x x))) x) y)))
	28.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (.f64 (*.f64 x x) c) #s(literal 1/6 binary64))) x) y)))
	31.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) #s(approx (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) y (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (/.f64 (.f64 y c) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))))

Compiler

Compiled 1 071 to 796 computations (25.7% saved)

simplify163.0ms (1.3%)

Memory

16.9MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
cost-diff	0	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	(.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
cost-diff	320	(fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))
cost-diff	640	(fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)
cost-diff	0	#s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y))
cost-diff	0	(.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
cost-diff	0	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
cost-diff	0	(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
cost-diff	0	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	756
0	135	752
1	273	742
2	651	742
3	2081	722
4	5939	722
5	7239	722
0	8068	653

Stop Event

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

Calls

Call 1

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

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

localize417.0ms (3.2%)

Memory

17.1MiB live, 565.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4880046080552395	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
accuracy	4.352010901142877	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
accuracy	19.199224004039518	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	43.58021682201481	#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
accuracy	1.25505422145316	(fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x))
accuracy	3.9260720102466298	(.f64 (.f64 c y) x)
accuracy	4.338551275957933	(.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)))
accuracy	23.975462324978587	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
accuracy	2.593946278477259	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c)
accuracy	2.868837160679984	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)
accuracy	5.011287555215861	#s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y))
accuracy	23.975462324978587	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
accuracy	0	(*.f64 x y)
accuracy	4.352010901142877	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
accuracy	25.199778998257717	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
accuracy	0.14718632814753613	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
accuracy	3.639619649410529	(log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))
accuracy	4.352010901142877	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
accuracy	6.295227544463514	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

258.0ms	150×	1	valid
64.0ms	106×	0	valid

Compiler

Compiled 568 to 89 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 106.0ms (39.4% of total)

ival-add: 35.0ms (13% of total)

adjust: 24.0ms (8.9% of total)

ival-pow: 22.0ms (8.2% of total)

ival-sub: 21.0ms (7.8% of total)

ival-expm1: 17.0ms (6.3% of total)

ival-log1p: 17.0ms (6.3% of total)

const: 13.0ms (4.8% of total)

ival-e: 7.0ms (2.6% of total)

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

ival-div: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series590.0ms (4.6%)

Memory

14.3MiB live, 838.7MiB allocated

Counts

23 → 660

Calls

Call 1

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

Outputs
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) (patch (.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ())
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#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (.f64 x y)) c) (patch (.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) #<representation binary64>) () ())) ())
#s(alt (* 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 (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)) #<representation binary64>) () ())) ())
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#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 (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)) (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) (patch (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) (patch (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) (patch (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) (taylor 0 c) (#s(alt (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) (patch (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x) #<representation binary64>) () ())) ())
#s(alt (* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))) (taylor 0 c) (#s(alt #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) (patch #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) #<representation binary64>) () ())) ())
#s(alt (* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))) (taylor 0 c) (#s(alt #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) (patch #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) #<representation binary64>) () ())) ())
#s(alt (* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))) (taylor 0 c) (#s(alt #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) (patch #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) #<representation binary64>) () ())) ())
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#s(alt (* y (- (exp x) 1)) (taylor -inf x) (#s(alt (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* c (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 c) (* 1/2 (/ c x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ c x)) (* -1/2 c)) x)) (* 1/6 c))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ c x)) (* -1/2 c)) x)) (* 1/6 c))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* c (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 c y) x) (patch (.f64 (.f64 c y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (patch #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (patch #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (patch #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (patch #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
194.0ms	x	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c y) x) (+ (* 1/24 x) 1/6))
123.0ms	c	@	0	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c y) x) (+ (* 1/24 x) 1/6))
83.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c y) x) (+ (* 1/24 x) 1/6))
69.0ms	x	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c y) x) (+ (* 1/24 x) 1/6))
48.0ms	c	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* x y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (+ (* (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) x) (* (* c y) x)) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y))))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (* (* c y) x) (+ (* 1/24 x) 1/6))

simplify471.0ms (3.7%)

Memory

-13.3MiB live, 261.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1253	14986
1	4304	14471
0	8019	12206

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 658

Calls

Call 1

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

rewrite629.0ms (4.9%)

Memory

-86.9MiB live, 287.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	562
0	135	558
1	627	496
2	4980	490
0	8948	450

Stop Event

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

Counts

23 → 267

Calls

Call 1

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

Outputs
#<batchref>
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eval217.0ms (1.7%)

Memory: 29.0MiB live, 216.4MiB allocated
Compiler: Compiled 26 547 to 2 833 computations (89.3% saved)

prune109.0ms (0.8%)

Memory

-14.8MiB live, 113.5MiB allocated

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	940	11	951
Fresh	5	17	22
Picked	1	4	5
Done	0	4	4
Total	946	36	982

Accuracy

99.3%

Counts

982 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
	65.3%	(.f64 (log1p.f64 (.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)) c)
✓	92.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
✓	63.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
✓	63.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.6%	(.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)
	65.9%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
✓	56.5%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	54.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	76.4%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
✓	83.2%	(.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))))))
	30.3%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) y))))
	31.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) y (neg.f64 y)))))
	28.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))
	29.7%	(.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)))
	31.1%	(.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)))
	54.2%	(.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)))
	11.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
	62.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (.f64 c y) #s(literal 2 binary64))) c) (/.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x) y))))
✓	65.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	62.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)) x))
✓	61.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
	45.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c) #s(literal 2 binary64)) (.f64 c c)) y) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c) c))) x))
✓	62.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 x c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) c) y)) x))
	34.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) c (/.f64 (fma.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
	61.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 (*.f64 x c) #s(literal 1/2 binary64) c)) y)) x))
	27.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) c)) (*.f64 x x))) y)) x))
	26.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 #s(literal 1/6 binary64) c (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (neg.f64 c) x)) (neg.f64 x))) (.f64 x x))) y)) x))
	28.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (.f64 (*.f64 x x) c) #s(literal 1/6 binary64))) y)) x))
	33.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) #s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) y (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) y (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x)))) x))
	28.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) #s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/6 binary64)))) x))
	60.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 #s(literal 1/2 binary64) (*.f64 x c) c)) x) y)))
	27.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) c)) (*.f64 x x))) x) y)))
	31.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) #s(approx (* (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) x) y) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) y (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) y (/.f64 (.f64 y c) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))))

Compiler

Compiled 1 857 to 907 computations (51.2% saved)

regimes258.0ms (2%)

Memory

8.8MiB live, 200.6MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

Calls

9 calls:

46.0ms	y
45.0ms	(pow.f64 (E.f64) x)
43.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
33.0ms	c
28.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
92.5%	1	`c`
96.0%	3	`x`
92.5%	1	`y`
92.5%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
92.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
92.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
92.5%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
92.5%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
92.5%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes205.0ms (1.6%)

Memory

-14.6MiB live, 144.6MiB allocated

Counts

53 → 4

Calls

Call 1

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

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

Calls

9 calls:

43.0ms	x
33.0ms	c
33.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
32.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
14.0ms	y

Results

Accuracy	Segments	Branch
76.4%	1	`c`
86.1%	3	`y`
76.4%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
76.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
76.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
85.1%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
86.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
86.1%	2	`(pow.f64 (E.f64) x)`
89.6%	4	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes15.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
89.4%	4	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.2%)

Memory

-11.9MiB live, 24.2MiB allocated

Counts

45 → 4

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
89.4%	4	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

42 → 4

Calls

Call 1

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

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.3%	4	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes56.0ms (0.4%)

Memory

-51.5MiB live, 43.8MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	x
9.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
9.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
85.4%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
85.4%	2	`(pow.f64 (E.f64) x)`
87.6%	3	`x`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes57.0ms (0.4%)

Memory

26.7MiB live, 64.2MiB 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 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 #s(literal 1/2 binary64) (*.f64 x c) c)) x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 (*.f64 x c) #s(literal 1/2 binary64) c)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (.f64 (*.f64 x x) c) #s(literal 1/6 binary64))) x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) #s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal 1/6 binary64)))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (.f64 (*.f64 x x) c) #s(literal 1/6 binary64))) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 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 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 x c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) x) (.f64 (.f64 #s(approx (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) c)) (*.f64 x x))) x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 (/.f64 c x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) c)) (*.f64 x x))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (.f64 (fma.f64 #s(literal 1/6 binary64) c (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (neg.f64 c) x)) (neg.f64 x))) (.f64 x x))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) #s(approx (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* 1/2 (- y (* y y)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (.f64 (.f64 c y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 y c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (.f64 (.f64 c x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 y y))))) x (.f64 (.f64 c y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) #s(approx (* (+ (* (* (+ (* 1/6 x) 1/2) x) c) c) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) y (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) y (.f64 (neg.f64 c) (/.f64 y x))) (neg.f64 x))) (*.f64 x x)))) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)

Outputs

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

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

Calls

5 calls:

20.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms	y
9.0ms	x
8.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
8.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
82.5%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
76.4%	1	`y`
82.5%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.5%	2	`(pow.f64 (E.f64) x)`
82.5%	2	`x`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes129.0ms (1%)

Memory

-10.9MiB live, 110.0MiB allocated

Counts

33 → 1

Calls

Call 1

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

Calls

9 calls:

41.0ms	(pow.f64 (E.f64) x)
25.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
12.0ms	y
9.0ms	x
9.0ms	c

Results

Accuracy	Segments	Branch
65.2%	1	`y`
65.2%	1	`c`
65.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
65.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
65.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
65.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
65.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
65.2%	1	`(pow.f64 (E.f64) x)`
65.2%	1	`x`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes14.0ms (0.1%)

Memory

-1.2MiB live, 37.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

4.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
1.0ms	x
1.0ms	y
1.0ms	c
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
61.8%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
61.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
61.8%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
61.8%	1	`c`
61.8%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
61.8%	1	`(pow.f64 (E.f64) x)`
61.8%	1	`x`
61.8%	1	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch56.0ms (0.4%)

Memory

12.4MiB live, 133.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.591945998056975e-212	7.042962802028198e-211
24.0ms	-2.427896673867202e-209	-1.0250227173351297e-209

Samples

42.0ms	151×	1	valid
2.0ms	25×	0	valid
1.0ms	4×	1	invalid

Compiler

Compiled 224 to 229 computations (-2.2% saved)

Precisions

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

ival-pow: 16.0ms (44.3% of total)

ival-e: 6.0ms (16.6% of total)

adjust: 5.0ms (13.9% of total)

ival-mult: 4.0ms (11.1% of total)

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

ival-log1p: 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)

bsearch29.0ms (0.2%)

Memory

-16.5MiB live, 61.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	4.591945998056975e-212	7.042962802028198e-211
1.0ms	-2.427896673867202e-209	-1.0250227173351297e-209
24.0ms	-1163564657340603.0	-0.004574579332915274

Samples

15.0ms	160×	0	valid
2.0ms	17×	0	invalid

Compiler

Compiled 529 to 509 computations (3.8% saved)

Precisions

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

ival-pow: 4.0ms (37.8% of total)

ival-mult: 2.0ms (18.9% of total)

ival-e: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.5% of total)

ival-log1p: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.591945998056975e-212	7.042962802028198e-211
1.0ms	-2.427896673867202e-209	-1.0250227173351297e-209
10.0ms	-1163564657340603.0	-0.004574579332915274

Samples

5.0ms	64×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 484 to 479 computations (1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow: 2.0ms (46.9% of total)

ival-log1p: 1.0ms (23.4% of total)

ival-mult: 1.0ms (23.4% of total)

ival-e: 1.0ms (23.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

-34.3MiB live, 9.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.591945998056975e-212	7.042962802028198e-211
1.0ms	-2.427896673867202e-209	-1.0250227173351297e-209
4.0ms	-1163564657340603.0	-0.004574579332915274

Compiler

Compiled 466 to 467 computations (-0.2% saved)

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.591945998056975e-212	7.042962802028198e-211
1.0ms	-2.427896673867202e-209	-1.0250227173351297e-209
0.0ms	-1.5784416325531932e-6	-1.578268185060307e-6

Compiler

Compiled 213 to 225 computations (-5.6% saved)

bsearch6.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.591945998056975e-212	7.042962802028198e-211
4.0ms	-1.578268185060307e-6	-1.3634536340773122e-8

Samples

3.0ms	32×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 191 to 184 computations (3.7% saved)

Precisions

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

ival-pow: 1.0ms (49.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.5784416325531932e-6	-1.578268185060307e-6

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify28.0ms (0.2%)

Memory

-7.9MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	620
1	159	620

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 x #s(literal -6456360425798343/576460752303423488 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))))
(if (<=.f64 x #s(literal -8070450532247929/1152921504606846976 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.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)) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))))
(if (<=.f64 x #s(literal -8070450532247929/1152921504606846976 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.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)) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.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)) c))))
(if (<=.f64 x #s(literal -931722907070181/590295810358705651712 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))))
(if (<=.f64 x #s(literal -944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) c c) y)) x)) (.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)))
(if (<=.f64 x #s(literal -931722907070181/590295810358705651712 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 (*.f64 x c) #s(literal 1/2 binary64) c)) y)) x)))
#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))

Outputs
(if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 x #s(literal -6456360425798343/576460752303423488 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (if (<=.f64 x #s(literal -740298315191607/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))))
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(if (<=.f64 x #s(literal -931722907070181/590295810358705651712 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (+ ( (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* y c)) (.f64 #s(approx (+ ( (* (+ (* 1/6 x) 1/2) x) c) c) (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c)) y)) x)))
#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))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

soundness1.2s (9%)

Memory

5.5MiB live, 1 090.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1253	14986
1	4304	14471
0	8019	12206
0	736	9108
1	2615	8843
0	8722	7761
0	283	1930
1	1018	1746
2	3394	1720
0	8432	1561
0	998	12384
1	3438	11920
0	8437	10379
0	47	312
0	83	312
1	305	309
2	2345	309
0	8749	281
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 139 to 490 computations (57% saved)

preprocess118.0ms (0.9%)

Memory: -1.3MiB live, 190.5MiB allocated
Remove: (negabs c)
Compiler: Compiled 864 to 334 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze197.0ms (1.5%)

sample3.6s (27.9%)

explain289.0ms (2.3%)

preprocess126.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize72.0ms (0.6%)

series273.0ms (2.1%)

simplify180.0ms (1.4%)

rewrite152.0ms (1.2%)

eval104.0ms (0.8%)

prune25.0ms (0.2%)

simplify158.0ms (1.2%)

localize226.0ms (1.8%)

series325.0ms (2.5%)

simplify218.0ms (1.7%)

rewrite213.0ms (1.7%)

eval149.0ms (1.2%)

prune69.0ms (0.5%)

simplify138.0ms (1.1%)

localize437.0ms (3.4%)

series357.0ms (2.8%)

simplify213.0ms (1.7%)

rewrite198.0ms (1.5%)

eval187.0ms (1.5%)

prune141.0ms (1.1%)

simplify163.0ms (1.3%)

localize417.0ms (3.2%)

series590.0ms (4.6%)

simplify471.0ms (3.7%)

rewrite629.0ms (4.9%)

eval217.0ms (1.7%)

prune109.0ms (0.8%)

regimes258.0ms (2%)

regimes205.0ms (1.6%)

regimes15.0ms (0.1%)

regimes25.0ms (0.2%)

regimes14.0ms (0.1%)

regimes56.0ms (0.4%)

regimes57.0ms (0.4%)

regimes129.0ms (1%)

regimes14.0ms (0.1%)

bsearch56.0ms (0.4%)

bsearch29.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch6.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.2%)

soundness1.2s (9%)

preprocess118.0ms (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