Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze271.0ms (1.9%)

Memory

-8.4MiB live, 193.7MiB 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)

sample5.0s (35.3%)

Memory

-209.8MiB live, 3 796.1MiB allocated

Samples

2.5s	4 630×	1	valid
544.0ms	3 626×	0	valid
522.0ms	1 646×	1	exit
397.0ms	677×	1	invalid
209.0ms	657×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-pow: 1.8s (53.2% of total)

ival-e: 635.0ms (19.2% of total)

ival-mult: 303.0ms (9.2% of total)

ival-log1p: 279.0ms (8.4% of total)

adjust: 189.0ms (5.7% of total)

ival-sub: 120.0ms (3.6% of total)

ival-true: 9.0ms (0.3% of total)

exact: 9.0ms (0.3% of total)

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

Bogosity

explain229.0ms (1.6%)

Memory

-14.9MiB live, 348.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
168	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
164	41	(-2.9014330157483704e+125 7.260804237638335e-221 2.391276506081683e-246)	2	(-2.143964226124157e-100 2.093443466065696e-230 5.537537372217494e+227)	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
19	0	-	2	(2.6627435713074266e+37 -1.1687841620500418e-275 -6.223914269829598e-47)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
1	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`

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	203	2
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	34	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
`*.f64`	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	166	0
-	65	25

Precision

0.7186147186147186

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	166	0	0
-	65	0	25

Precision?

0.7186147186147186

Recall?

1.0

Freqs

test

number	freq
0	25
1	207
2	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms	322×	1	valid
19.0ms	190×	0	valid

Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow: 33.0ms (37% of total)

ival-e: 15.0ms (16.8% of total)

ival-mult: 13.0ms (14.6% of total)

adjust: 8.0ms (9% of total)

ival-log1p: 7.0ms (7.9% of total)

ival-add: 7.0ms (7.9% of total)

ival-sub: 5.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess123.0ms (0.9%)

Memory

0.8MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	117
1	95	113
2	175	113
3	460	113
4	990	113
5	1577	113
6	2407	113
7	2877	113
8	3052	113
9	3132	113
10	3199	113
11	3227	113
12	3261	113
13	3278	113
14	3281	113
15	3283	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	413	12
10	509	12
11	527	12
12	531	12
0	531	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 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.3%	(.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)

simplify20.0ms (0.1%)

Memory

-21.0MiB live, 17.1MiB 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	413	51
10	509	51
11	527	51
12	531	51
0	531	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 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(fma.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

localize74.0ms (0.5%)

Memory

0.1MiB live, 120.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.252608829716109	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	4.478702200726695	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	36.899923416305775	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	38.87129740997061	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

44.0ms	161×	1	valid
14.0ms	95×	0	valid

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 17.0ms (37.2% of total)

ival-e: 10.0ms (21.9% of total)

ival-mult: 5.0ms (10.9% of total)

ival-sub: 4.0ms (8.8% of total)

adjust: 4.0ms (8.8% 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)

series188.0ms (1.3%)

Memory

12.3MiB live, 325.1MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf c) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* c (* y (- (pow (E) x) 1))) (taylor 0 y) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) (taylor 0 y) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) (taylor 0 x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (log (E)))) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (log (E))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (pow (E) x) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* y (- (pow (E) x) 1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor -inf x) (#s(alt (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) (patch (.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow (E) x) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (E) x) 1) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	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))
37.0ms	x	@	inf	((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
21.0ms	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))
20.0ms	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))
14.0ms	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))

simplify168.0ms (1.2%)

Memory

7.6MiB live, 272.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1874
1	1010	1696
2	3391	1670
0	8440	1516

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
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rewrite194.0ms (1.4%)

Memory

-6.7MiB live, 280.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	43
1	70	43
2	454	38
3	4965	38
0	8945	23

Stop Event

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

Counts

5 → 321

Calls

Call 1

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

Outputs
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eval62.0ms (0.4%)

Memory: -3.7MiB live, 155.9MiB allocated
Compiler: Compiled 9 385 to 1 874 computations (80% saved)

prune26.0ms (0.2%)

Memory

38.9MiB live, 78.7MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	421	20	441
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	20	442

Accuracy

99.9%

Counts

442 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	56.8%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	23.9%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
	49.2%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
	81.0%	(.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))))))
	73.1%	(.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
▶	49.9%	(.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))))
	17.8%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
	34.5%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
▶	36.5%	(.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)))))
	36.2%	(.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)))))
	39.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
	28.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	42.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
	46.1%	(.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)))
	47.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
	52.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 x y)))
▶	58.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	47.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))

Compiler

Compiled 758 to 512 computations (32.5% saved)

simplify233.0ms (1.6%)

Memory

-13.2MiB live, 300.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64))
cost-diff	0	(.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))))
cost-diff	64	(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)))
cost-diff	128	(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))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
cost-diff	128	(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 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	49	392
0	89	392
1	157	392
2	354	392
3	965	392
4	2789	368
5	5247	368
0	8205	344

Stop Event

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

Calls

Call 1

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

localize358.0ms (2.5%)

Memory

0.8MiB live, 480.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y)
accuracy	0.0403112192224492	(pow.f64 (sqrt.f64 (E.f64)) x)
accuracy	4.478702200726695	(.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))))
accuracy	36.899923416305775	(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)))
accuracy	0.0390625	(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
accuracy	4.478702200726695	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
accuracy	17.438743208422117	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
accuracy	36.899923416305775	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))
accuracy	3.887832640859095	(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) x y)
accuracy	4.478702200726695	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
accuracy	11.646842835594155	(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	27.590874755453765	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
accuracy	0	(*.f64 y c)
accuracy	3.7344516808070636	(.f64 (.f64 y c) x)
accuracy	25.800016698239297	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
accuracy	0.00390625	(expm1.f64 x)
accuracy	0.015625	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0.252608829716109	(*.f64 y (expm1.f64 x))
accuracy	4.478702200726695	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

248.0ms	160×	1	valid
39.0ms	96×	0	valid

Compiler

Compiled 682 to 92 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 95.0ms (41.7% of total)

ival-expm1: 42.0ms (18.4% of total)

ival-pow: 27.0ms (11.8% of total)

adjust: 15.0ms (6.6% of total)

ival-add: 15.0ms (6.6% of total)

ival-log1p: 12.0ms (5.3% of total)

ival-sub: 7.0ms (3.1% of total)

ival-e: 7.0ms (3.1% of total)

const: 4.0ms (1.8% of total)

ival-sqrt: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series463.0ms (3.3%)

Memory

3.9MiB live, 764.2MiB 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 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) x y) x))) (patch (.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) x y) x)) (patch #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) #<representation binary64>) () ())
#s(alt (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) (patch (.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))) (patch #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (patch (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) x y) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (E.f64)) x) (patch (pow.f64 (sqrt.f64 (E.f64)) x) #<representation binary64>) () ())
#s(alt (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y) (patch (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
159.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1)) (* c (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1))) (+ (pow (sqrt (E)) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (sqrt (E)) x) (* (- (exp (* 1/2 x)) 1) y))
60.0ms	y	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1)) (* c (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1))) (+ (pow (sqrt (E)) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (sqrt (E)) x) (* (- (exp (* 1/2 x)) 1) y))
58.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1)) (* c (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1))) (+ (pow (sqrt (E)) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (sqrt (E)) x) (* (- (exp (* 1/2 x)) 1) y))
50.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1)) (* c (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1))) (+ (pow (sqrt (E)) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (sqrt (E)) x) (* (- (exp (* 1/2 x)) 1) y))
44.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1)) (* c (log (+ (* (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1))) (+ (pow (sqrt (E)) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (sqrt (E)) x) (* (- (exp (* 1/2 x)) 1) y))

simplify278.0ms (2%)

Memory

4.2MiB live, 281.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	9736
1	3119	9476
0	9333	8163

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 550

Calls

Call 1

Inputs
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(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
1
(+ 1 (* x (log (sqrt (E)))))
(+ 1 (* x (+ (log (sqrt (E))) (* 1/2 (* x (pow (log (sqrt (E))) 2))))))
(+ 1 (* x (+ (log (sqrt (E))) (* x (+ (* 1/6 (* x (pow (log (sqrt (E))) 3))) (* 1/2 (pow (log (sqrt (E))) 2)))))))
(* 1/2 (* x y))
(* x (+ (* 1/8 (* x y)) (* 1/2 y)))
(* x (+ (* 1/2 y) (* x (+ (* 1/48 (* x y)) (* 1/8 y)))))
(* x (+ (* 1/2 y) (* x (+ (* 1/8 y) (* x (+ (* 1/384 (* x y)) (* 1/48 y)))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* 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 (* 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))))
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
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(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x))))
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x))))
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(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
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(+ 1 (pow (sqrt (E)) x))
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(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(* y (- (exp (* 1/2 x)) 1))
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(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
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(* c (* x y))
(* c (* x y))
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(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
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(log (+ 1 (* y (- (pow (E) x) 1))))
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(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
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(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1)))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
(* c (log (+ 1 (* y (* (+ 1 (pow (sqrt (E)) x)) (- (exp (* 1/2 x)) 1))))))
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(+ 1 (pow (sqrt (E)) x))
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(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(pow (sqrt (E)) x)
(* y (- (exp (* 1/2 x)) 1))
(* y (- (exp (* 1/2 x)) 1))
(* y (- (exp (* 1/2 x)) 1))
(* y (- (exp (* 1/2 x)) 1))

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

rewrite217.0ms (1.5%)

Memory

5.3MiB live, 231.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	300
0	89	300
1	333	285
2	2681	283
0	9915	260

Stop Event

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

Counts

22 → 465

Calls

Call 1

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

Outputs
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eval190.0ms (1.3%)

Memory: 14.1MiB live, 321.0MiB allocated
Compiler: Compiled 27 770 to 3 557 computations (87.2% saved)

prune59.0ms (0.4%)

Memory

-12.9MiB live, 143.3MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	993	22	1 015
Fresh	12	3	15
Picked	3	2	5
Done	0	0	0
Total	1 008	27	1 035

Accuracy

99.9%

Counts

1 035 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
▶	92.6%	(.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)
✓	92.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	59.9%	(.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)
	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	60.5%	(.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)
	63.5%	(.f64 (log1p.f64 #s(approx ( y (- (exp x) 1)) (*.f64 x y))) c)
▶	5.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	46.1%	(.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)
	73.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
	52.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	56.8%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
	81.0%	(.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))))))
	50.0%	(.f64 c (log.f64 (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64))))
	28.7%	(.f64 c (log.f64 #s(approx (+ ( (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) #s(literal 1 binary64))))
	17.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))))))
▶	2.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
	42.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
▶	46.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	24.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
	50.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 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))) #s(literal 1 binary64)) y)) x)))
	75.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
✓	58.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
▶	56.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Compiler

Compiled 893 to 671 computations (24.9% saved)

simplify169.0ms (1.2%)

Memory

25.0MiB live, 251.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 y)
cost-diff	0	(+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))
cost-diff	0	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))))
cost-diff	0	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
cost-diff	0	#s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (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)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (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))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (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)))
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	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	74	595
0	111	595
1	203	595
2	437	595
3	1048	565
4	2653	547
5	5157	547
6	7110	547
0	8013	496

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (1.6%)

Memory

10.4MiB live, 343.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11352229962758056	(+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))
accuracy	0.24213423043228763	(log.f64 (expm1.f64 x))
accuracy	0.7158808450070336	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
accuracy	7.866533799430551	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))))
accuracy	0.7158808450070336	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
accuracy	1.5426184098639413	(.f64 (.f64 x x) y)
accuracy	4.499364110514395	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))
accuracy	10.975159629196309	#s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.7158808450070336	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
accuracy	0.9566872395714532	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
accuracy	1.456015352013718	(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
accuracy	3.826538566112634	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
accuracy	0	(*.f64 c x)
accuracy	0.8189494626414444	(.f64 (.f64 c x) y)
accuracy	3.7585266033841638	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))
accuracy	0.03869879138909578	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	0.05859375	(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
accuracy	0.2604247927373715	(/.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	0.7158808450070336	(.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

129.0ms	210×	0	invalid
50.0ms	38×	1	valid
5.0ms	3×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 766 to 114 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 67.0ms (43.3% of total)

ival-pow: 18.0ms (11.6% of total)

ival-add: 18.0ms (11.6% of total)

ival-expm1: 16.0ms (10.3% of total)

const: 7.0ms (4.5% of total)

ival-log1p: 7.0ms (4.5% of total)

adjust: 5.0ms (3.2% of total)

ival-log: 5.0ms (3.2% of total)

ival-sub: 3.0ms (1.9% of total)

ival-e: 3.0ms (1.9% of total)

ival-div: 2.0ms (1.3% of total)

ival-exp: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series597.0ms (4.2%)

Memory

22.1MiB live, 746.7MiB allocated

Counts

24 → 600

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

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

Calls

9 calls:

Time	Variable		Point	Expression
237.0ms	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) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (* x x) y) (log (- (exp x) 1)))
68.0ms	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) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (* x x) y) (log (- (exp x) 1)))
66.0ms	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) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (* x x) y) (log (- (exp x) 1)))
49.0ms	y	@	-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) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (* x x) y) (log (- (exp x) 1)))
36.0ms	y	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (+ (* 1/3 (* x y)) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (* x x) y) (log (- (exp x) 1)))

simplify220.0ms (1.6%)

Memory

28.4MiB live, 334.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	962	10710
1	3243	10093
0	8239	8742

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

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

rewrite188.0ms (1.3%)

Memory

10.8MiB live, 323.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	468
0	111	465
1	447	425
2	3670	401
0	9975	377

Stop Event

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

Counts

24 → 317

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

Outputs
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eval230.0ms (1.6%)

Memory: -11.2MiB live, 209.6MiB allocated
Compiler: Compiled 19 730 to 2 742 computations (86.1% saved)

prune80.0ms (0.6%)

Memory

-17.6MiB live, 124.1MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	904	12	916
Fresh	5	15	20
Picked	3	2	5
Done	0	2	2
Total	912	31	943

Accuracy

99.9%

Counts

943 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
	69.5%	(.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)
	60.5%	(.f64 (log1p.f64 (/.f64 #s(approx ( (- (exp (* x 3)) 1) y) (.f64 (.f64 y (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64))) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
✓	92.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	59.9%	(.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)
▶	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	60.5%	(.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)
	63.5%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
▶	52.8%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	20.6%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (log1p.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))))) c)
	5.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (log.f64 x))))) c)
	5.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (log.f64 x)))) c)
	46.1%	(.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)
	73.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
▶	81.0%	(.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))))))
	50.0%	(.f64 c (log.f64 (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64))))
	28.7%	(.f64 c (log.f64 #s(approx (+ ( (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) #s(literal 1 binary64))))
	17.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))))))
✓	2.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
▶	39.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
▶	42.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
	46.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(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 y) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	24.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
	50.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 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))) #s(literal 1 binary64)) y)) x)))
	29.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal -1/6 binary64) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))))
	75.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
✓	58.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
✓	56.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Compiler

Compiled 1 055 to 796 computations (24.5% saved)

simplify178.0ms (1.3%)

Memory

22.2MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y))))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
cost-diff	320	(fma.f64 (*.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))
cost-diff	9984	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
cost-diff	0	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	(.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) #s(literal 1/6 binary64)) x)) x y) x)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
cost-diff	768	(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) #s(literal 1/6 binary64)) 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	85	1070
0	135	1047
1	247	1047
2	565	1047
3	1670	849
4	5681	849
5	7380	849
0	8136	776

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

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

localize751.0ms (5.3%)

Memory

-62.7MiB live, 534.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.478702200726695	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
accuracy	8.22264592915103	(-.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (*.f64 y y))
accuracy	22.71329569908767	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))
accuracy	27.590874755453765	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y))))
accuracy	0.08984375	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.252608829716109	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
accuracy	4.478702200726695	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
accuracy	21.12426163628367	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	3.887832640859095	(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) #s(literal 1/6 binary64)) x)) x y)
accuracy	4.478702200726695	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
accuracy	8.472643864981237	(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) #s(literal 1/6 binary64)) x))
accuracy	27.590874755453765	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))
accuracy	0	(*.f64 x y)
accuracy	4.478702200726695	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
accuracy	27.821733637487938	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
accuracy	0.252608829716109	(*.f64 y (expm1.f64 x))
accuracy	4.478702200726695	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
accuracy	5.572958007694498	(log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))
accuracy	7.267815675971609	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

375.0ms	96×	0	valid
265.0ms	160×	1	valid

Compiler

Compiled 1 454 to 136 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 596.0ms

ival-div: 293.0ms (49.2% of total)

ival-mult: 107.0ms (18% of total)

ival-e: 47.0ms (7.9% of total)

ival-add: 42.0ms (7% of total)

adjust: 24.0ms (4% of total)

ival-pow: 23.0ms (3.9% of total)

ival-expm1: 18.0ms (3% of total)

ival-log1p: 15.0ms (2.5% of total)

ival-sub: 8.0ms (1.3% of total)

const: 8.0ms (1.3% of total)

ival-exp: 4.0ms (0.7% of total)

ival-pow2: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series538.0ms (3.8%)

Memory

15.5MiB live, 909.2MiB allocated

Counts

24 → 612

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

Outputs
#s(alt (* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) (taylor 0 c) (#s(alt (.f64 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 (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))) (patch (.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))) #<representation binary64>) () ())) ())
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#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (-.f64 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) #s(literal 1/6 binary64)) x)) x y) x))) (patch (.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (pow (E) x) 1))))) (taylor 0 c) (#s(alt (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (-.f64 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) #s(literal 1/6 binary64)) x)) x y) x))) (patch (.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x))) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (patch (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #<representation binary64>) () ())) ())
#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (patch (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #<representation binary64>) () ())) ())
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#s(alt (* c (log (+ 1 (* y (- (exp x) 1))))) (taylor 0 c) (#s(alt (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (patch (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #<representation binary64>) () ())) ())
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#s(alt (* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) (taylor inf 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>) () ())) ())
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#s(alt (* 1/36 (* (pow x 4) (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) (patch (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)) (* 1/6 (/ (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))) x)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) (patch (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/4 (/ (pow (- y (pow y 2)) 2) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) (patch (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2))) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) (patch (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
134.0ms	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) (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (/ (* (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) (neg y))) (+ (* (* y x) 1/3) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (* y (- (exp x) 1)) (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (+ (* 1/6 x) 1/2) (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)))
100.0ms	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) (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (/ (* (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) (neg y))) (+ (* (* y x) 1/3) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (* y (- (exp x) 1)) (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (+ (* 1/6 x) 1/2) (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)))
90.0ms	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) (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (/ (* (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) (neg y))) (+ (* (* y x) 1/3) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (* y (- (exp x) 1)) (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (+ (* 1/6 x) 1/2) (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)))
55.0ms	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) (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (/ (* (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) (neg y))) (+ (* (* y x) 1/3) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (* y (- (exp x) 1)) (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (+ (* 1/6 x) 1/2) (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)))
54.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (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) (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (/ (* (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) (neg y))) (+ (* (* y x) 1/3) (+ (* -1/2 x) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (* y (- (exp x) 1)) (+ (* (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (+ (* 1/6 x) 1/2) (- (pow (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)))

simplify243.0ms (1.7%)

Memory

11.7MiB live, 328.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1571	16163
1	5365	15431
0	8227	13020

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 610

Calls

Call 1

Inputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (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 (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (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 (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (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 (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* c (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* y (+ (* -1/24 (* c (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4))))))) (* c (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3))))))))))))
(* y (- (exp x) 1))
(* y (- (* -1/2 (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* -1 (- (exp x) 1))))
(* y (- (* y (- (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1))))
(* y (- (* y (- (* y (- (+ (* -1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (pow (- (exp x) 1) 3)) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (+ (* -1/2 (* (pow y 3) (pow (- (exp x) 1) 6))) (pow (- (exp x) 1) 3)))
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* 1/3 (* (pow y 3) (pow (- (exp x) 1) 9))))) (pow (- (exp x) 1) 3)))
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* (pow y 3) (+ (* -1/4 (* (pow y 3) (pow (- (exp x) 1) 12))) (* 1/3 (pow (- (exp x) 1) 9)))))) (pow (- (exp x) 1) 3)))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
(* (pow y 3) (pow (- (exp x) 1) 3))
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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))))
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(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)
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -1/2 (/ (- y (pow y 2)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (* 3/2 (/ (pow (- y (pow y 2)) 2) (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))) (+ (* -3 (/ (* (- y (pow y 2)) (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* -1 (/ y x)))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (* -1 (/ (+ (* -1 (- (* 3/2 (/ (pow (- y (pow y 2)) 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* -3 (/ (* (- y (pow y 2)) (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -1 y)))) (* -1 (/ (+ (* -6 (/ (* y (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -3 (/ (* (- y (pow y 2)) (- (* 3/2 (/ (pow (- y (pow y 2)) 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* -3 (/ (* (- y (pow y 2)) (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -1 y)))) (+ y (* (pow y 2) (- (* 2 y) 3)))))) x))) x))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* x (+ 1/2 (* -1/3 y))))
(* -1 (* x (+ 1/2 (+ (* -1/3 y) (* 1/2 (/ 1 x))))))
(* -1 (* x (+ 1/2 (+ (* -1/3 y) (* 1/2 (/ 1 x))))))
(* -1 (* x (+ 1/2 (+ (* -1/3 y) (* 1/2 (/ 1 x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* y (- (exp x) 1))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/36 (* (pow x 4) (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)))
(* (pow x 4) (+ (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)) (* 1/6 (/ (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/4 (/ (pow (- y (pow y 2)) 2) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2))) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2))))

Outputs
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(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (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)
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(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
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(.f64 (-.f64 (log1p.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
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(* c (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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(* x y)
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(log (+ 1 (* y (- (pow (E) x) 1))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (* -1 (/ (+ (* -1 (- (* 3/2 (/ (pow (- y (pow y 2)) 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* -3 (/ (* (- y (pow y 2)) (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -1 y)))) (* -1 (/ (+ (* -6 (/ (* y (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -3 (/ (* (- y (pow y 2)) (- (* 3/2 (/ (pow (- y (pow y 2)) 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* -3 (/ (* (- y (pow y 2)) (- (* -1 (- y (pow y 2))) (* -1/2 (- y (pow y 2))))) (+ y (* (pow y 2) (- (* 2 y) 3))))) (* -1 y)))) (+ y (* (pow y 2) (- (* 2 y) 3)))))) x))) x))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
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(* -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) (+.f64 (fma.f64 #s(literal -1/3 binary64) y (/.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) (+.f64 (fma.f64 #s(literal -1/3 binary64) y (/.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) (+.f64 (fma.f64 #s(literal -1/3 binary64) y (/.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)
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(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))))
(* 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)
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.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 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 y) y y) 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 x x))
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(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
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(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
(* 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)
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(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)
(* 1/36 (* (pow x 4) (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)))
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(* (pow x 4) (+ (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2)) (* 1/6 (/ (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))) x))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) (/.f64 (fma.f64 (neg.f64 y) y y) x)) #s(literal 1/6 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/4 (/ (pow (- y (pow y 2)) 2) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) x) #s(literal -1/4 binary64) (.f64 (.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 (neg.f64 y) y y))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2))) x)) (* -1/6 (* (+ y (* (pow y 2) (- (* 2 y) 3))) (- y (pow y 2))))) x)) (* 1/36 (pow (+ y (* (pow y 2) (- (* 2 y) 3))) 2))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (/.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)) (fma.f64 (neg.f64 y) y y) (/.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 x x))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))

rewrite200.0ms (1.4%)

Memory

18.3MiB live, 251.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	695
0	135	679
1	582	489
2	4743	477
0	8581	461

Stop Event

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

Counts

24 → 398

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

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eval209.0ms (1.5%)

Memory: -42.9MiB live, 321.9MiB allocated
Compiler: Compiled 43 863 to 4 846 computations (89% saved)

prune85.0ms (0.6%)

Memory

20.2MiB live, 179.2MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 177	11	1 188
Fresh	7	15	22
Picked	2	3	5
Done	0	4	4
Total	1 186	33	1 219

Accuracy

99.9%

Counts

1 219 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.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)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
	56.0%	(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) c)
	50.1%	(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
	69.5%	(.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)
	60.5%	(.f64 (log1p.f64 (/.f64 #s(approx ( (- (exp (* x 3)) 1) y) (.f64 (.f64 y (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64))) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
✓	92.6%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	59.9%	(.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)
✓	60.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	60.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c)
	60.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	63.5%	(.f64 (log1p.f64 #s(approx (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 x y))) c)
✓	52.8%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
	5.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (log.f64 x))))) c)
	5.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (log.f64 x)))) c)
	46.1%	(.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)
	73.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
	50.0%	(.f64 c (log.f64 (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64))))
	28.7%	(.f64 c (log.f64 #s(approx (+ ( (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) #s(literal 1 binary64))))
	17.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))))))
✓	2.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
	13.4%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
	13.5%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
	44.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 #s(approx (- (pow ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) (.f64 (neg.f64 y) y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
✓	42.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
	46.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #s(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 y) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	24.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
	50.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (*.f64 (fma.f64 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))) #s(literal 1 binary64)) y)) x)))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	75.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
✓	58.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
✓	56.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Compiler

Compiled 2 000 to 895 computations (55.3% saved)

regimes162.0ms (1.1%)

Memory

19.9MiB live, 251.5MiB allocated

Counts

66 → 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 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 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))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (*.f64 (fma.f64 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))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 #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 y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.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) #s(literal 1/6 binary64)) x)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 #s(approx (- (pow ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 2) (* y y)) (.f64 (neg.f64 y) y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(.f64 c (log.f64 #s(approx (+ ( (+ (pow (sqrt (E)) x) 1) (* (- (exp (* 1/2 x)) 1) y)) 1) #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 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (* (+ (* 1/2 x) 1) y) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (.f64 x x))))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal -1/6 binary64) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (- y (* y y)) 1/2) (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x)) x) y) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (log.f64 x)))) c)
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x) #s(literal 2 binary64)) (.f64 y y)) x) (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x (neg.f64 y)))))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) #s(approx (log (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (log.f64 x))))) c)
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 x) c)) y))
(.f64 c (log.f64 (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) 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 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(.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))))
(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(.f64 (log1p.f64 (/.f64 #s(approx ( (- (exp (* x 3)) 1) y) (.f64 (.f64 y (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64))) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
(.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
(.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (log1p.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))))) c)
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))))))
(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.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)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))

Outputs

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

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

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

Calls

9 calls:

21.0ms	x
20.0ms	c
19.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
18.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
18.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
92.6%	1	`c`
92.6%	1	`x`
99.4%	3	`y`
92.6%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
92.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
92.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
92.6%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
92.6%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
92.6%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes31.0ms (0.2%)

Memory

-26.3MiB live, 56.8MiB allocated

Counts

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

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

Calls

2 calls:

15.0ms	c
13.0ms	y

Results

Accuracy	Segments	Branch
92.6%	1	`c`
92.6%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes147.0ms (1%)

Memory

-3.1MiB live, 162.0MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

34.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
31.0ms	c
21.0ms	x
11.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
11.0ms	y

Results

Accuracy	Segments	Branch
83.3%	2	`x`
73.0%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
74.6%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
74.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
83.7%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
83.3%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.3%	2	`(pow.f64 (E.f64) x)`
73.0%	1	`c`
83.7%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes28.0ms (0.2%)

Memory

25.5MiB live, 61.3MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
9.0ms	x
7.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
83.3%	2	`x`
83.3%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.3%	2	`(pow.f64 (E.f64) x)`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes27.0ms (0.2%)

Memory

-14.8MiB live, 61.6MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

10.0ms	x
8.0ms	(pow.f64 (E.f64) x)
7.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes24.0ms (0.2%)

Memory

1.5MiB live, 46.6MiB allocated

Counts

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

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

Calls

3 calls:

10.0ms	x
6.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
6.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
82.6%	2	`x`
82.6%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.6%	2	`(pow.f64 (E.f64) x)`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes50.0ms (0.4%)

Memory

-13.9MiB live, 62.5MiB allocated

Counts

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

Calls

5 calls:

25.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
7.0ms	x
6.0ms	y
5.0ms	(pow.f64 (E.f64) x)
5.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
77.1%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
73.0%	1	`y`
76.7%	2	`x`
76.7%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
76.7%	2	`(pow.f64 (E.f64) x)`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes62.0ms (0.4%)

Memory

6.9MiB live, 85.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

9 calls:

14.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
9.0ms	c
6.0ms	x
6.0ms	y
5.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
61.4%	2	`c`
58.8%	1	`y`
58.8%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
58.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
58.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
58.8%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
58.8%	1	`x`
58.8%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
58.8%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes11.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
56.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
56.3%	1	`(pow.f64 (E.f64) x)`
56.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
56.3%	1	`x`
56.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
56.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
56.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
56.3%	1	`y`
56.3%	1	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch93.0ms (0.7%)

Memory

-27.3MiB live, 132.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1210483281.5400171	18994023031.52717
32.0ms	-8.801857037799214e+31	-1.211932388387289e+29

Samples

41.0ms	167×	1	valid
6.0ms	57×	0	valid
6.0ms	67×	0	invalid

Compiler

Compiled 351 to 324 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-pow: 19.0ms (46.3% of total)

ival-e: 7.0ms (17.1% of total)

ival-mult: 5.0ms (12.2% of total)

ival-log1p: 4.0ms (9.8% of total)

adjust: 3.0ms (7.3% of total)

ival-sub: 3.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6510744442766074	0.9997573988834605

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6510744442766074	0.9997573988834605

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6510744442766074	0.9997573988834605

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6510744442766074	0.9997573988834605

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999972	0.9999999999999999

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch35.0ms (0.2%)

Memory

27.8MiB live, 65.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	9.249015848036749e-35	2.7242145009052286e-29

Samples

22.0ms	82×	1	valid
5.0ms	62×	0	valid

Compiler

Compiled 123 to 142 computations (-15.4% saved)

Precisions

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

ival-pow: 9.0ms (41% of total)

ival-e: 6.0ms (27.4% of total)

ival-mult: 3.0ms (13.7% of total)

adjust: 2.0ms (9.1% of total)

ival-log1p: 2.0ms (9.1% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify98.0ms (0.7%)

Memory

-0.2MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	307
1	124	307
2	139	307
3	182	307
4	243	307
5	347	307
6	604	307
7	2579	307
8	4617	307
9	7058	307

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -122000000000000003270349160448 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 1300000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 4503599627370487/4503599627370496 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 (.f64 y c) x)))
(if (<=.f64 c #s(literal 6850788924988607/5708990770823839524233143877797980545530986496 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

Outputs
(if (<=.f64 y #s(literal -122000000000000003270349160448 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 1300000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -122000000000000003270349160448 binary64)) (not (<=.f64 y #s(literal 1300000000 binary64)))) (.f64 c (log1p.f64 (.f64 (expm1.f64 x) y))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) y) c (.f64 c (expm1.f64 x))) y)))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (expm1.f64 x) y)) c) (.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 4503599627370487/4503599627370496 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 (.f64 y c) x)))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 4503599627370487/4503599627370496 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 (.f64 c y) x)))
(if (<=.f64 c #s(literal 6850788924988607/5708990770823839524233143877797980545530986496 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
(if (<=.f64 c #s(literal 6850788924988607/5708990770823839524233143877797980545530986496 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) y))

soundness1.2s (8.3%)

Memory

-10.4MiB live, 559.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	9736
1	3119	9476
0	9333	8163
0	49	300
0	89	300
1	333	285
2	2681	283
0	9915	260
0	280	1874
1	1010	1696
2	3391	1670
0	8440	1516
0	11	43
0	18	43
1	70	43
2	454	38
3	4965	38
0	8945	23

Stop Event

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

Compiler

Compiled 907 to 433 computations (52.3% saved)

preprocess160.0ms (1.1%)

Memory: -35.9MiB live, 140.7MiB allocated
Remove: (negabs c)
Compiler: Compiled 540 to 276 computations (48.9% 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	413	51
10	509	51
11	527	51
12	531	51
0	531	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	413	51
10	509	51
11	527	51
12	531	51
0	531	46

start0.0ms (0%)

analyze271.0ms (1.9%)

sample5.0s (35.3%)

explain229.0ms (1.6%)

preprocess123.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.1%)

localize74.0ms (0.5%)

series188.0ms (1.3%)

simplify168.0ms (1.2%)

rewrite194.0ms (1.4%)

eval62.0ms (0.4%)

prune26.0ms (0.2%)

simplify233.0ms (1.6%)

localize358.0ms (2.5%)

series463.0ms (3.3%)

simplify278.0ms (2%)

rewrite217.0ms (1.5%)

eval190.0ms (1.3%)

prune59.0ms (0.4%)

simplify169.0ms (1.2%)

localize228.0ms (1.6%)

series597.0ms (4.2%)

simplify220.0ms (1.6%)

rewrite188.0ms (1.3%)

eval230.0ms (1.6%)

prune80.0ms (0.6%)

simplify178.0ms (1.3%)

localize751.0ms (5.3%)

series538.0ms (3.8%)

simplify243.0ms (1.7%)

rewrite200.0ms (1.4%)

eval209.0ms (1.5%)

prune85.0ms (0.6%)

regimes162.0ms (1.1%)

regimes31.0ms (0.2%)

regimes147.0ms (1%)

regimes28.0ms (0.2%)

regimes27.0ms (0.2%)

regimes24.0ms (0.2%)

regimes50.0ms (0.4%)

regimes62.0ms (0.4%)

regimes11.0ms (0.1%)

bsearch93.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.2%)

simplify98.0ms (0.7%)

soundness1.2s (8.3%)

preprocess160.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	413	51
10	509	51
11	527	51
12	531	51
0	531	46