Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze218.0ms (1.9%)

Memory

3.2MiB live, 274.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.7s (31.7%)

Memory

-128.5MiB live, 4 045.2MiB allocated

Samples

1.9s	4 625×	1	valid
531.0ms	3 631×	0	valid
317.0ms	694×	1	invalid
250.0ms	1 592×	1	exit
93.0ms	672×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-pow: 869.0ms (34% of total)

ival-mult: 666.0ms (26.1% of total)

ival-e: 459.0ms (18% of total)

ival-log1p: 199.0ms (7.8% of total)

adjust: 165.0ms (6.5% of total)

ival-sub: 159.0ms (6.2% of total)

ival-assert: 17.0ms (0.7% of total)

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

exact: 10.0ms (0.4% of total)

Bogosity

explain236.0ms (2%)

Memory

18.7MiB live, 529.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
181	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
153	45	(8.348419970194501e-61 1.8217001751453704e-270 -8.303000466166236e-97)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
17	0	-	2	(-1.1889870260719963e+98 -7.397435359701378e-153 5.627373647043888e-159)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	198
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	39
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	15

Confusion

	Predicted +	Predicted -
+	164	0
-	67	25

Precision

0.70995670995671

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	164	0	0
-	67	0	25

Precision?

0.70995670995671

Recall?

1.0

Freqs

test

number	freq
0	25
1	210
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

116.0ms	352×	1	valid
17.0ms	160×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-pow: 41.0ms (40% of total)

ival-e: 19.0ms (18.5% of total)

adjust: 14.0ms (13.7% of total)

ival-mult: 10.0ms (9.8% of total)

ival-log1p: 8.0ms (7.8% of total)

ival-sub: 5.0ms (4.9% of total)

ival-add: 4.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess123.0ms (1.1%)

Memory

-0.1MiB live, 37.4MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(.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)

simplify15.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
cost-diff	0	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
cost-diff	1	(log.f64 (+.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

localize93.0ms (0.8%)

Memory

-11.8MiB live, 113.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	3.8821863814177666	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	35.34496949222493	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	42.128893062162454	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

57.0ms	176×	1	valid
26.0ms	80×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 23.0ms (42.3% of total)

ival-mult: 11.0ms (20.2% of total)

ival-e: 8.0ms (14.7% of total)

adjust: 4.0ms (7.4% of total)

ival-log1p: 4.0ms (7.4% of total)

ival-sub: 2.0ms (3.7% of total)

ival-add: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series203.0ms (1.7%)

Memory

12.3MiB live, 288.5MiB allocated

Counts

5 → 49

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
82.0ms	c	@	0	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
44.0ms	x	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
18.0ms	x	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
15.0ms	c	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
13.0ms	c	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))

simplify218.0ms (1.9%)

Memory

0.2MiB live, 282.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1255
1	1010	1079
2	3371	1053
0	8422	965

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
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Outputs
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) y))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))

rewrite180.0ms (1.5%)

Memory

-19.0MiB live, 247.5MiB 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
(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))
(.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
(.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (.f64 y (expm1.f64 x)))))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(/.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 (-.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 (-.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 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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))))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 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))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 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 (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 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))) #s(literal 2 binary64))))) (log1p.f64 (.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (.f64 y (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 y (expm1.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x)))) (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (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))))
(+.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x))))
(/.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (pow.f64 (E.f64) (.f64 x #s(literal 2/3 binary64))) (pow.f64 (E.f64) (.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 6 binary64)) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) x)))
(expm1.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) x)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval52.0ms (0.4%)

Memory: -2.0MiB live, 120.1MiB allocated
Compiler: Compiled 8 985 to 1 875 computations (79.1% saved)

prune14.0ms (0.1%)

Memory

15.2MiB live, 51.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	356	12	368
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	12	369

Accuracy

99.8%

Counts

369 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	82.0%	(.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))))))
	38.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
	38.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
	39.2%	(.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)))))
	42.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
▶	30.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	46.5%	(.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)))
	55.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
▶	45.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
▶	55.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
▶	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 504 to 386 computations (23.4% saved)

simplify99.0ms (0.8%)

Memory

0.9MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	218
0	57	215
1	97	215
2	186	215
3	465	215
4	1282	215
5	3132	181
6	5948	181
0	8462	174

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

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

localize170.0ms (1.5%)

Memory

0.5MiB live, 252.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
accuracy	3.160994028869209	(.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
accuracy	42.128893062162454	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	3.8821863814177666	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	13.92220814229731	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	35.34496949222493	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	1.9523171800059747	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy	3.4305088516510533	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
accuracy	3.823117979442888	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	26.36460473708916	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
accuracy	0.0	(*.f64 c y)
accuracy	4.421473529600979	(.f64 (.f64 c y) x)
accuracy	24.78830986534541	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.00390625	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0.0078125	(*.f64 y (expm1.f64 x))
accuracy	0.0078125	(expm1.f64 x)
accuracy	3.8821863814177666	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

133.0ms	176×	1	valid
17.0ms	80×	0	valid

Compiler

Compiled 198 to 29 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 25.0ms (30.5% of total)

ival-pow: 20.0ms (24.4% of total)

ival-e: 8.0ms (9.7% of total)

adjust: 8.0ms (9.7% of total)

ival-expm1: 7.0ms (8.5% of total)

ival-log1p: 6.0ms (7.3% of total)

ival-sub: 4.0ms (4.9% of total)

ival-add: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series535.0ms (4.6%)

Memory

-7.5MiB live, 340.8MiB allocated

Counts

19 → 130

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

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

Calls

9 calls:

Time	Variable		Point	Expression
149.0ms	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)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c))
125.0ms	y	@	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)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c))
84.0ms	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)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c))
53.0ms	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)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c))
48.0ms	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)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c))

simplify501.0ms (4.3%)

Memory

19.0MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	632	2645
1	2259	2486
2	7325	2477
0	8559	2050

Stop Event

1×	iter limit
1×	node limit

Counts

130 → 128

Calls

Call 1

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

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

rewrite164.0ms (1.4%)

Memory

-7.4MiB live, 113.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	190
0	57	187
1	182	187
2	1209	153
0	9133	150

Stop Event

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

Counts

19 → 423

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

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

eval74.0ms (0.6%)

Memory: 16.3MiB live, 90.0MiB allocated
Compiler: Compiled 15 073 to 2 221 computations (85.3% saved)

prune82.0ms (0.7%)

Memory

-19.2MiB live, 68.5MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	448	23	471
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	456	27	483

Accuracy

99.9%

Counts

483 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.7%	(.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)
	66.4%	(.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)
▶	65.7%	(.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)
	16.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
	55.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	42.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	30.2%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
	54.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
▶	76.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y))
	26.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
	26.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
	28.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
▶	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
	58.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
▶	28.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	43.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
	57.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
	52.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
	28.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 1 439 to 1 026 computations (28.7% saved)

simplify133.0ms (1.1%)

Memory

-3.3MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
cost-diff	0	(*.f64 x c)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
cost-diff	1	(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)))
cost-diff	0	#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))
cost-diff	0	(.f64 c #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)))
cost-diff	0	(.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
cost-diff	0	#s(approx (- (pow (E) x) 1) x)
cost-diff	0	(*.f64 #s(approx (- (pow (E) x) 1) x) c)
cost-diff	0	(.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) c)))
cost-diff	5	(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	423
0	84	419
1	148	411
2	298	409
3	819	383
4	2420	383
5	4934	383
0	8127	334

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (2.2%)

Memory

14.6MiB live, 227.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
accuracy	0.0078125	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	3.8821863814177666	(.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)
accuracy	18.383450469730274	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	0.49021277877650615	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y))
accuracy	3.823117979442888	(fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)
accuracy	4.823137194265683	(/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)))
accuracy	26.36460473708916	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
accuracy	3.4305088516510533	(.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x)
accuracy	5.916913844716561	(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
accuracy	26.36460473708916	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
accuracy	47.569101718981265	#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))
accuracy	0.0078125	(*.f64 #s(approx (- (pow (E) x) 1) x) c)
accuracy	3.160994028869209	(.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
accuracy	18.03028418047317	#s(approx (- (pow (E) x) 1) x)
accuracy	0.15072250976844204	(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) c))
accuracy	1.116974196455239	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) c)))
accuracy	3.160994028869209	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y)
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y))

Samples

191.0ms	176×	1	valid
32.0ms	80×	0	valid

Compiler

Compiled 317 to 47 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 49.0ms (27.4% of total)

ival-pow: 38.0ms (21.3% of total)

ival-log1p: 30.0ms (16.8% of total)

adjust: 26.0ms (14.6% of total)

ival-e: 8.0ms (4.5% of total)

ival-expm1: 8.0ms (4.5% of total)

ival-div: 7.0ms (3.9% of total)

ival-sub: 5.0ms (2.8% of total)

ival-add: 4.0ms (2.2% of total)

ival-exp: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series222.0ms (1.9%)

Memory

-15.7MiB live, 255.8MiB allocated

Counts

23 → 142

Calls

Call 1

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

Outputs
(/ (+ 1 (exp x)) (* c (- (exp (* 2 x)) 1)))
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (exp x)))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(* c x)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(/ 1 (* c x))
(/ (+ (* -1/2 (/ x c)) (/ 1 c)) x)
(/ (+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) c)) (* 1/12 (/ 1 c)))) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(* x (+ c (* x (- c (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (+ (* 2/3 c) (* x (- (* 1/3 c) (+ (* 1/12 c) (+ (* 1/4 (- c (* 1/2 c))) (* 1/2 (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))))))) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* c (* x y))
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c y)) (+ (* 1/4 (- (* c y) (* 1/2 (* c y)))) (* 1/2 (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))))))) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* -1/2 (* x (pow y 2)))
(/ 1 y)
(+ (* -1/2 (/ (* x (- y (pow y 2))) (pow y 2))) (/ 1 y))
(+ (* x (- (* 1/4 (/ (* x (pow (- y (pow y 2)) 2)) (pow y 3))) (* 1/2 (/ (- y (pow y 2)) (pow y 2))))) (/ 1 y))
(+ (* x (- (* x (- (* -1/8 (/ (* x (pow (- y (pow y 2)) 3)) (pow y 4))) (* -1/4 (/ (pow (- y (pow y 2)) 2) (pow y 3))))) (* 1/2 (/ (- y (pow y 2)) (pow y 2))))) (/ 1 y))
(- (pow (E) x) 1)
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* 1/2 (* c (* x (- y (pow y 2)))))
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(/ 2 (* x (- y (pow y 2))))
(/ (+ (* -4 (/ y (* x (pow (- y (pow y 2)) 2)))) (* 2 (/ 1 (- y (pow y 2))))) x)
(/ (- (+ (* 8 (/ (pow y 2) (* (pow x 2) (pow (- y (pow y 2)) 3)))) (* 2 (/ 1 (- y (pow y 2))))) (* 4 (/ y (* x (pow (- y (pow y 2)) 2))))) x)
(/ (- (+ (* -16 (/ (pow y 3) (* (pow x 3) (pow (- y (pow y 2)) 4)))) (* 2 (/ 1 (- y (pow y 2))))) (+ (* -8 (/ (pow y 2) (* (pow x 2) (pow (- y (pow y 2)) 3)))) (* 4 (/ y (* x (pow (- y (pow y 2)) 2)))))) x)
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2)))))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* -1 (/ (- (* 4 (/ y (* x (pow (- y (pow y 2)) 2)))) (* 2 (/ 1 (- y (pow y 2))))) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) (* x (pow (- y (pow y 2)) 3)))) (* 4 (/ y (pow (- y (pow y 2)) 2)))) x)) (* 2 (/ 1 (- y (pow y 2))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow y 3) (* x (pow (- y (pow y 2)) 4)))) (* 8 (/ (pow y 2) (pow (- y (pow y 2)) 3)))) x)) (* 4 (/ y (pow (- y (pow y 2)) 2)))) x)) (* 2 (/ 1 (- y (pow y 2))))) x))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* c (* x (* y (+ 1 (* 1/2 x)))))
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))))
(* c (* y (+ 1 (* 1/2 x))))
(* y (+ (* -1/2 (* c (* x y))) (* c (+ 1 (* 1/2 x)))))
(* y (+ 1 (* 1/2 x)))
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(/ 1 (* y (+ 1 (* 1/2 x))))
(/ (+ (* 1/2 (/ (* x y) (pow (+ 1 (* 1/2 x)) 2))) (/ 1 (+ 1 (* 1/2 x)))) y)
(/ (+ (* y (- (* 1/4 (/ (* (pow x 2) y) (pow (+ 1 (* 1/2 x)) 3))) (* -1/2 (/ x (pow (+ 1 (* 1/2 x)) 2))))) (/ 1 (+ 1 (* 1/2 x)))) y)
(/ (+ (* y (- (* y (- (* 1/8 (/ (* (pow x 3) y) (pow (+ 1 (* 1/2 x)) 4))) (* -1/4 (/ (pow x 2) (pow (+ 1 (* 1/2 x)) 3))))) (* -1/2 (/ x (pow (+ 1 (* 1/2 x)) 2))))) (/ 1 (+ 1 (* 1/2 x)))) y)
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* -1/2 (* c (* (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(* -1/2 (* c (* x (pow y 2))))
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(/ -2 (* x (pow y 2)))
(/ (- (* -4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -8 (/ (pow (+ 1 (* 1/2 x)) 2) (* (pow x 3) (pow y 2)))) (+ (* 4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (* 2 (/ 1 x)))) (pow y 2))
(/ (- (* -16 (/ (pow (+ 1 (* 1/2 x)) 3) (* (pow x 4) (pow y 3)))) (+ (* 4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (+ (* 8 (/ (pow (+ 1 (* 1/2 x)) 2) (* (pow x 3) (pow y 2)))) (* 2 (/ 1 x))))) (pow y 2))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(/ (- (* 4 (/ (- (* -1/2 x) 1) (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -1 (/ (- (* 8 (/ (pow (- (* -1/2 x) 1) 2) (* (pow x 3) y))) (* 4 (/ (- (* -1/2 x) 1) (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- (* -1/2 x) 1) 3) (* (pow x 4) y))) (* 8 (/ (pow (- (* -1/2 x) 1) 2) (pow x 3)))) y)) (* 4 (/ (- (* -1/2 x) 1) (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	c	@	0	((/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (/ (* x c) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y))) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* -1/2 (* y y)) x) (+ (* (* (- y (* y y)) 1/2) x) y) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y)))
34.0ms	x	@	-inf	((/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (/ (* x c) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y))) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* -1/2 (* y y)) x) (+ (* (* (- y (* y y)) 1/2) x) y) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y)))
33.0ms	c	@	-inf	((/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (/ (* x c) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y))) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* -1/2 (* y y)) x) (+ (* (* (- y (* y y)) 1/2) x) y) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y)))
32.0ms	x	@	inf	((/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (/ (* x c) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y))) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* -1/2 (* y y)) x) (+ (* (* (- y (* y y)) 1/2) x) y) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y)))
32.0ms	c	@	inf	((/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (/ (* x c) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y))) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* -1/2 (* y y)) x) (+ (* (* (- y (* y y)) 1/2) x) y) (/ 1 (+ (* (* (- y (* y y)) 1/2) x) y)))

simplify289.0ms (2.5%)

Memory

19.8MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	805	3327
1	2706	3032
0	8711	2668

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 140

Calls

Call 1

Inputs
(/ (+ 1 (exp x)) (* c (- (exp (* 2 x)) 1)))
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (exp x)))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(* c x)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(/ 1 (* c x))
(/ (+ (* -1/2 (/ x c)) (/ 1 c)) x)
(/ (+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) c)) (* 1/12 (/ 1 c)))) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(* x (+ c (* x (- c (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (+ (* 2/3 c) (* x (- (* 1/3 c) (+ (* 1/12 c) (+ (* 1/4 (- c (* 1/2 c))) (* 1/2 (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))))))) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* c (* x y))
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c y)) (+ (* 1/4 (- (* c y) (* 1/2 (* c y)))) (* 1/2 (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))))))) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
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Outputs
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(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
(* -1/2 (* c (* (pow x 2) (pow y 2))))
(.f64 (.f64 (.f64 (.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(* -1/2 (* c (* x (pow y 2))))
(.f64 (.f64 (.f64 (.f64 y x) y) c) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 c x) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) y) y)
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) y) y)
(* -1/2 (pow y 2))
(.f64 (.f64 #s(literal -1/2 binary64) y) y)
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) y)
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c)
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y)))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y)))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x)))
(/ -2 (* x (pow y 2)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 y x) y))
(/ (- (* -4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) (/.f64 #s(literal -2 binary64) x)) (.f64 y y))
(/ (- (* -8 (/ (pow (+ 1 (* 1/2 x)) 2) (* (pow x 3) (pow y 2)))) (+ (* 4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (* 2 (/ 1 x)))) (pow y 2))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) (/.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(/ (- (* -16 (/ (pow (+ 1 (* 1/2 x)) 3) (* (pow x 4) (pow y 3)))) (+ (* 4 (/ (+ 1 (* 1/2 x)) (* (pow x 2) y))) (+ (* 8 (/ (pow (+ 1 (* 1/2 x)) 2) (* (pow x 3) (pow y 2)))) (* 2 (/ 1 x))))) (pow y 2))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 y y))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) c (.f64 (neg.f64 c) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y)))) (.f64 y y))
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x))))
(.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 #s(literal -1/2 binary64) (.f64 c x))) (.f64 y y))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (expm1.f64 x))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) y))
(/ (- (* 4 (/ (- (* -1/2 x) 1) (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (/.f64 #s(literal -2 binary64) x)) (.f64 y y))
(/ (- (* -1 (/ (- (* 8 (/ (pow (- (* -1/2 x) 1) 2) (* (pow x 3) y))) (* 4 (/ (- (* -1/2 x) 1) (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- (* -1/2 x) 1) 3) (* (pow x 4) y))) (* 8 (/ (pow (- (* -1/2 x) 1) 2) (pow x 3)))) y)) (* 4 (/ (- (* -1/2 x) 1) (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) x) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) y) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 y y))

rewrite300.0ms (2.6%)

Memory

-30.4MiB live, 207.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	355
0	84	351
1	296	323
2	1892	315
0	8626	275

Stop Event

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

Counts

23 → 492

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)))
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(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 y (.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)))
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(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 4 binary64))) y) y)
(fma.f64 (/.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 4 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y)
(fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y)
(fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)
(fma.f64 (-.f64 y (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) y)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
(fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 y (.f64 y y)) x) y)
(fma.f64 y #s(literal 1 binary64) (.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) y (.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)))) (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)) y)
(+.f64 y (.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) (neg.f64 y)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)) #s(literal -1 binary64)))

eval98.0ms (0.8%)

Memory: 26.1MiB live, 144.6MiB allocated
Compiler: Compiled 24 364 to 3 101 computations (87.3% saved)

prune82.0ms (0.7%)

Memory

4.1MiB live, 79.7MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	612	15	627
Fresh	7	12	19
Picked	2	3	5
Done	1	2	3
Total	622	32	654

Accuracy

99.9%

Counts

654 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
	66.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
✓	65.7%	(.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)
	16.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
▶	55.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
	42.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	54.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
	57.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
▶	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
	63.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
	59.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
	67.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 c (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
	26.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
	26.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
	28.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
▶	58.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
✓	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
	28.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
	58.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
✓	28.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
▶	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	43.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
	57.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
▶	57.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
	52.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))

Compiler

Compiled 1 895 to 1 331 computations (29.8% saved)

simplify110.0ms (0.9%)

Memory

8.3MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
cost-diff	2	(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
cost-diff	0	#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
cost-diff	6	(fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
cost-diff	0	#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
cost-diff	0	(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 c y)
cost-diff	0	(.f64 (.f64 c y) (expm1.f64 x))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	520
0	98	520
1	177	516
2	377	504
3	1062	452
4	2098	448
5	4740	448
0	8127	412

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 (.f64 c y) (expm1.f64 x))
(*.f64 c y)
c
y
(expm1.f64 x)
x
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 y x)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
(fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
(.f64 (.f64 (*.f64 y x) x) c)
(.f64 (.f64 y x) x)
(*.f64 y x)
y
x
c
#s(literal -1/2 binary64)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
(fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c))
(/.f64 #s(literal 1/12 binary64) c)
#s(literal 1/12 binary64)
c
x
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) c)
y

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (.f64 c y) (expm1.f64 x))
(.f64 (.f64 (expm1.f64 x) c) y)
(*.f64 c y)
(*.f64 y c)
c
y
(expm1.f64 x)
x
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 y x)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (*.f64 y c)))
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (*.f64 y c))
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 x c) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y))))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 x c) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
(.f64 (.f64 x c) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y))
(fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
(.f64 (.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) c)
(.f64 (.f64 (*.f64 y x) x) c)
(.f64 (.f64 y x) x)
(*.f64 y x)
y
x
c
#s(literal -1/2 binary64)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 y #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
(/.f64 y #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)) x)))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)
(/.f64 (fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)) x)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
(fma.f64 (/.f64 x c) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))
(fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c))
(/.f64 #s(literal 1/12 binary64) c)
#s(literal 1/12 binary64)
c
x
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) c)
y

localize332.0ms (2.8%)

Memory

-34.6MiB live, 449.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.160994028869209	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
accuracy	3.741560142557184	(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
accuracy	17.35223830352709	#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))
accuracy	2.3863240272932247	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
accuracy	4.197582268418119	(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
accuracy	4.947399692243294	(.f64 (.f64 (*.f64 y x) x) c)
accuracy	26.36460473708916	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
accuracy	0.09375	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	3.160994028869209	(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
accuracy	17.815181618850918	#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 y x)
accuracy	3.8821863814177666	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
accuracy	25.87595971008064	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
accuracy	0.0	(*.f64 c y)
accuracy	0.0078125	(expm1.f64 x)
accuracy	2.7171170272024145	(.f64 (.f64 c y) (expm1.f64 x))
accuracy	13.818248819965733	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))

Samples

200.0ms	176×	1	valid
37.0ms	80×	0	valid

Compiler

Compiled 344 to 63 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 78.0ms (40.1% of total)

adjust: 32.0ms (16.5% of total)

ival-pow: 18.0ms (9.3% of total)

ival-div: 14.0ms (7.2% of total)

ival-add: 13.0ms (6.7% of total)

ival-e: 9.0ms (4.6% of total)

ival-expm1: 8.0ms (4.1% of total)

const: 7.0ms (3.6% of total)

ival-log1p: 6.0ms (3.1% of total)

ival-sub: 5.0ms (2.6% of total)

ival-exp: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series228.0ms (2%)

Memory

26.1MiB live, 302.6MiB allocated

Counts

24 → 135

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 (.f64 c y) (expm1.f64 x))
(*.f64 c y)
(expm1.f64 x)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 y x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 y x) x) c)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)

Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (exp x) 1)))
(* c y)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x)))))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))))
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (exp x)))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) c)
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(* c (* (pow x 2) y))
(* c (* x (+ 1 (* 1/2 x))))
(/ (+ 1 (exp x)) (* c (- (exp (* 2 x)) 1)))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) (* c x))
(* -1 (* c (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y)))))
(* -1 (* c (* y (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y))))))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) c))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) (* c x)))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(* c x)
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c)))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* x (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c y)) (+ (* 1/4 (- (* c y) (* 1/2 (* c y)))) (* 1/2 (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))))))) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(/ 1 c)
(+ (* -1/2 (/ x c)) (/ 1 c))
(+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c))
(* x (+ c (* x (- c (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (+ (* 2/3 c) (* x (- (* 1/3 c) (+ (* 1/12 c) (+ (* 1/4 (- c (* 1/2 c))) (* 1/2 (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))))))) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
1/2
(+ 1/2 (* 1/6 x))
(* x (+ c (* 1/2 (* c x))))
(/ 1 (* c x))
(/ (+ (* -1/2 (/ x c)) (/ 1 c)) x)
(/ (+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) c)) (* 1/12 (/ 1 c)))) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(- (exp x) 1)
(log (+ 1 (* y (- (exp x) 1))))
(- (pow (E) x) 1)
(* (pow x 2) (+ (* -1/2 (* c y)) (* 1/2 c)))
(* (pow x 2) (+ (* -1/2 (* c y)) (+ (* 1/2 c) (/ c x))))
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* (pow x 2) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))
(* (pow x 2) (+ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (/ (* c y) x)))
(* 1/12 (/ (pow x 2) c))
(* (pow x 2) (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(* (pow x 2) (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/2 (* c (pow x 2)))
(* (pow x 2) (+ (* 1/2 c) (/ c x)))
(* 1/12 (/ x c))
(* x (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(* x (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 c)) (/ 1 (* c x))) x)) (* 1/12 (/ 1 c))))
(* -1 (* x (- (* 1/2 (/ 1 (* c x))) (* 1/12 (/ 1 c)))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* c x)) (* 1/2 (/ 1 c))) x)) (* 1/12 (/ 1 c)))))
(* 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 (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (exp x) 1))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))
(* c (* x (* y (+ 1 (* 1/2 x)))))
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(* -1/2 (* c (* (pow x 2) y)))
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(* -1/2 (* c (* (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	c	@	0	((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp x) 1)) (* c y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) y) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (+ (* 1/6 x) 1/2) (* (* (* y x) x) c) (* (* (+ (* 1/2 x) 1) x) c) (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x))
34.0ms	x	@	-inf	((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp x) 1)) (* c y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) y) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (+ (* 1/6 x) 1/2) (* (* (* y x) x) c) (* (* (+ (* 1/2 x) 1) x) c) (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x))
33.0ms	c	@	-inf	((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp x) 1)) (* c y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) y) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (+ (* 1/6 x) 1/2) (* (* (* y x) x) c) (* (* (+ (* 1/2 x) 1) x) c) (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x))
30.0ms	c	@	inf	((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp x) 1)) (* c y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) y) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (+ (* 1/6 x) 1/2) (* (* (* y x) x) c) (* (* (+ (* 1/2 x) 1) x) c) (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x))
29.0ms	y	@	inf	((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp x) 1)) (* c y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (+ (* (* (* (* y x) x) c) -1/2) (* (* (+ (* 1/2 x) 1) x) c)) y) (* (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) y) (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/ 1 (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c))) (+ (* 1/6 x) 1/2) (* (* (* y x) x) c) (* (* (+ (* 1/2 x) 1) x) c) (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x))

simplify162.0ms (1.4%)

Memory

-12.3MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	674	2839
1	2323	2600
2	7380	2537
0	8632	2159

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 134

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (exp x) 1)))
(* c y)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x)))))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))))
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (exp x)))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) c)
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(* c (* (pow x 2) y))
(* c (* x (+ 1 (* 1/2 x))))
(/ (+ 1 (exp x)) (* c (- (exp (* 2 x)) 1)))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) (* c x))
(* -1 (* c (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y)))))
(* -1 (* c (* y (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y))))))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) c))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) (* c x)))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(* c x)
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c)))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* x (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c y)) (+ (* 1/4 (- (* c y) (* 1/2 (* c y)))) (* 1/2 (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))))))) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(/ 1 c)
(+ (* -1/2 (/ x c)) (/ 1 c))
(+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c))
(* x (+ c (* x (- c (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(* x (+ c (* x (- (+ c (* x (- (+ (* 2/3 c) (* x (- (* 1/3 c) (+ (* 1/12 c) (+ (* 1/4 (- c (* 1/2 c))) (* 1/2 (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))))))) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
1/2
(+ 1/2 (* 1/6 x))
(* x (+ c (* 1/2 (* c x))))
(/ 1 (* c x))
(/ (+ (* -1/2 (/ x c)) (/ 1 c)) x)
(/ (+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) c)) (* 1/12 (/ 1 c)))) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(- (exp x) 1)
(log (+ 1 (* y (- (exp x) 1))))
(- (pow (E) x) 1)
(* (pow x 2) (+ (* -1/2 (* c y)) (* 1/2 c)))
(* (pow x 2) (+ (* -1/2 (* c y)) (+ (* 1/2 c) (/ c x))))
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* (pow x 2) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))
(* (pow x 2) (+ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (/ (* c y) x)))
(* 1/12 (/ (pow x 2) c))
(* (pow x 2) (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(* (pow x 2) (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/2 (* c (pow x 2)))
(* (pow x 2) (+ (* 1/2 c) (/ c x)))
(* 1/12 (/ x c))
(* x (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(* x (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 c)) (/ 1 (* c x))) x)) (* 1/12 (/ 1 c))))
(* -1 (* x (- (* 1/2 (/ 1 (* c x))) (* 1/12 (/ 1 c)))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* c x)) (* 1/2 (/ 1 c))) x)) (* 1/12 (/ 1 c)))))
(* 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 (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (exp x) 1))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))
(* c (* x (* y (+ 1 (* 1/2 x)))))
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(* -1/2 (* c (* (pow x 2) y)))
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(* -1/2 (* c (* (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))

Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) c) y)
(* c y)
(*.f64 y c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (* y (- (pow (E) x) 1)))
(.f64 (.f64 (expm1.f64 x) c) y)
(* c (- (pow (E) x) 1))
(*.f64 (expm1.f64 x) c)
(* c (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/2 binary64))) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/2 binary64))) c) y)
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (exp x)))
(.f64 (.f64 (expm1.f64 (+.f64 x x)) y) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) c)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(* c (* (pow x 2) y))
(.f64 (.f64 (*.f64 x x) y) c)
(* c (* x (+ 1 (* 1/2 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(/ (+ 1 (exp x)) (* c (- (exp (* 2 x)) 1)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) c) (expm1.f64 (+.f64 x x)))
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) (* c x))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c) x)
(* -1 (* c (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y)))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64))))
(* -1 (* c (* y (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* 1/2 (* (pow x 2) y))))))
(.f64 (.f64 (neg.f64 c) y) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) c))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 c))
(* -1 (/ (- (* x (+ 1/2 (* -1/12 x))) 1) (* c x)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 c)) x)
(* c (* x (* y (log (E)))))
(.f64 (.f64 y x) c)
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) c) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* 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))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x)) x (*.f64 y c)) x)
(* c (* x y))
(.f64 (.f64 y x) c)
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) c (.f64 y c)) x)
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 y x) c) #s(literal 1/6 binary64) (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y x) c) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y c))) x (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) c) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x)) x (*.f64 y c)) x)
(* x y)
(*.f64 y x)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) c (.f64 y c)) x)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 y x) c) #s(literal 1/6 binary64) (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y x) c) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y c))) x (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* c (* x (log (E))))
(*.f64 x c)
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) c) x (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)
(* x (log (E)))
x
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(*.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 x)
(*.f64 x c)
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* x (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c)) y) x (*.f64 y c)) x)
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c y))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) c (.f64 y c)) x)
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y c) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y c)) #s(literal 1/2 binary64))) x (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c y)) (+ (* 1/4 (- (* c y) (* 1/2 (* c y)))) (* 1/2 (- (* 2/3 (* c y)) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))))))) (+ (* 1/4 (* c y)) (* 1/2 (- (* c y) (* 1/2 (* c y)))))))) (* 1/2 (* c y))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y c)) (fma.f64 (fma.f64 (.f64 y c) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y c)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y c) #s(literal 1/2 binary64))))) x (fma.f64 (.f64 y c) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y c)) #s(literal 1/2 binary64)))) x (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (*.f64 y c)) x)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(+ (* -1/2 (/ x c)) (/ 1 c))
(fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))
(+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
(* x (+ c (* x (- c (* 1/2 c)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(* x (+ c (* x (- (+ c (* x (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 c #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 1/2 binary64))) x (.f64 #s(literal 1/2 binary64) c)) x c) x)
(* x (+ c (* x (- (+ c (* x (- (+ (* 2/3 c) (* x (- (* 1/3 c) (+ (* 1/12 c) (+ (* 1/4 (- c (* 1/2 c))) (* 1/2 (- (* 2/3 c) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))))))) (+ (* 1/4 c) (* 1/2 (- c (* 1/2 c))))))) (* 1/2 c)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) c) (fma.f64 (fma.f64 c #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) c)))) x (fma.f64 c #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 1/2 binary64)))) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* x (+ c (* 1/2 (* c x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(/ 1 (* c x))
(/.f64 (/.f64 #s(literal 1 binary64) c) x)
(/ (+ (* -1/2 (/ x c)) (/ 1 c)) x)
(/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x)
(/ (+ (* x (- (* 1/12 (/ x c)) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) c)) (* 1/12 (/ 1 c)))) (* 1/2 (/ 1 c)))) (/ 1 c)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)
(- (exp x) 1)
(expm1.f64 x)
(log (+ 1 (* y (- (exp x) 1))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(- (pow (E) x) 1)
(expm1.f64 x)
(* (pow x 2) (+ (* -1/2 (* c y)) (* 1/2 c)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c)) x) x)
(* (pow x 2) (+ (* -1/2 (* c y)) (+ (* 1/2 c) (/ c x))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y c) (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x))) x) x)
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) x) x) #s(literal 1/2 binary64)) c)
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 y (/.f64 c x))) x) x)
(* (pow x 2) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (*.f64 #s(literal 1/2 binary64) c)) x) x) y)
(* (pow x 2) (+ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (/ (* c y) x)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y c) (.f64 #s(literal 1/2 binary64) c)) y (*.f64 y (/.f64 c x))) x) x)
(* 1/12 (/ (pow x 2) c))
(.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)
(* (pow x 2) (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) c) (/.f64 (/.f64 #s(literal 1/2 binary64) c) x)) (.f64 x x))
(* (pow x 2) (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) (.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)
(* 1/2 (* c (pow x 2)))
(.f64 (.f64 (*.f64 x c) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 c) (/ c x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) c (/.f64 c x)) x) x)
(* 1/12 (/ x c))
(*.f64 (/.f64 #s(literal 1/12 binary64) c) x)
(* x (- (* 1/12 (/ 1 c)) (* 1/2 (/ 1 (* c x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) c) (/.f64 (/.f64 #s(literal 1/2 binary64) c) x)) x)
(* x (- (+ (* 1/12 (/ 1 c)) (/ 1 (* c (pow x 2)))) (/ 1/2 (* c x))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 c)) (/ 1 (* c x))) x)) (* 1/12 (/ 1 c))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) c) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 (/.f64 #s(literal 1 binary64) c) x)) x)) x) x)
(* -1 (* x (- (* 1/2 (/ 1 (* c x))) (* 1/12 (/ 1 c)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) c) x) (/.f64 #s(literal 1/12 binary64) c)))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* c x)) (* 1/2 (/ 1 c))) x)) (* 1/12 (/ 1 c)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) (neg.f64 x)) (/.f64 #s(literal 1/12 binary64) c)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(.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)
(* 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))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(.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)
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) y)
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y)
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y)
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/2 binary64))) c)
(* c (* x (* y (+ 1 (* 1/2 x)))))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) c)
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/2 binary64))) c) y)
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c)
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y)))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c)
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (.f64 (expm1.f64 x) y)))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y)))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x)))
(* -1/2 (* c (* (pow x 2) y)))
(.f64 (.f64 (.f64 (.f64 x x) y) c) #s(literal -1/2 binary64))
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(.f64 (fma.f64 (.f64 (.f64 x c) x) #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(* -1/2 (* c (* (pow x 2) (pow y 2))))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x c) x) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (expm1.f64 x))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) y))
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2))))))
(.f64 (neg.f64 y) (fma.f64 (neg.f64 c) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y) (.f64 (.f64 (*.f64 x c) x) #s(literal 1/2 binary64))))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) c) x) x (.f64 (neg.f64 c) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) y))) (.f64 y y))

rewrite215.0ms (1.8%)

Memory

29.7MiB live, 185.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	445
0	98	445
1	383	413
2	2864	389
0	8619	375

Stop Event

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

Counts

24 → 271

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 (.f64 c y) (expm1.f64 x))
(*.f64 c y)
(expm1.f64 x)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 y x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 y x) x) c)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x)

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (.f64 (expm1.f64 x) c) y)
(.f64 (.f64 c (expm1.f64 x)) y)
(.f64 (.f64 (expm1.f64 x) y) c)
(.f64 (expm1.f64 x) (.f64 y c))
(.f64 (.f64 y c) (expm1.f64 x))
(.f64 y (.f64 c (expm1.f64 x)))
(.f64 c (.f64 (expm1.f64 x) y))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (*.f64 y c)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 y c)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 y c) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 y c) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fma.f64 (.f64 y c) (exp.f64 x) (.f64 (*.f64 y c) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (.f64 y c) (.f64 #s(literal -1 binary64) (*.f64 y c)))
(+.f64 (.f64 (exp.f64 x) (.f64 y c)) (.f64 #s(literal -1 binary64) (.f64 y c)))
(+.f64 (.f64 (.f64 y c) (exp.f64 x)) (.f64 (.f64 y c) #s(literal -1 binary64)))
(*.f64 y c)
(*.f64 c y)
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 1/4 binary64)) x) (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (.f64 (cbrt.f64 (E.f64)) (E.f64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
(.f64 c #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)))
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (*.f64 y c)))
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c)
(.f64 (.f64 y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) c)
(.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (*.f64 y c))
(.f64 (.f64 y c) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(.f64 y (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c))
(.f64 c (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
(.f64 c #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 2 binary64)))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 c (*.f64 y x)) x)
(.f64 (.f64 x c) (*.f64 y x))
(.f64 (.f64 (*.f64 y x) x) c)
(.f64 (.f64 y x) (*.f64 x c))
(.f64 (.f64 y c) (*.f64 x x))
(.f64 y (.f64 (*.f64 x x) c))
(.f64 y (.f64 x (*.f64 x c)))
(.f64 x (.f64 (*.f64 y x) c))
(.f64 x (.f64 y (*.f64 x c)))
(.f64 c (.f64 (*.f64 y x) x))
(.f64 (.f64 c (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)
(.f64 (.f64 x c) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x c))
(.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c))
(.f64 c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x c)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 x c)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)) #s(literal 1 binary64))
#s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x))
(/.f64 (neg.f64 #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp x) -1) (* (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 c #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) c)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x))
(pow.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) (pow.f64 c #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 c #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) c)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) (pow.f64 c #s(literal -1 binary64))) x))
(/.f64 (.f64 (+.f64 (pow.f64 c #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) c)) (pow.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64))) (.f64 x (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) (pow.f64 c #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 c #s(literal -3 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 3 binary64))) (.f64 x (+.f64 (-.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) c)) (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64)))) x))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (pow.f64 c #s(literal -1 binary64))))) #s(literal -1 binary64)))

eval89.0ms (0.8%)

Memory: -6.2MiB live, 75.7MiB allocated
Compiler: Compiled 19 119 to 2 168 computations (88.7% saved)

prune76.0ms (0.6%)

Memory

-18.0MiB live, 56.0MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	396	7	403
Fresh	3	19	22
Picked	2	3	5
Done	0	5	5
Total	401	34	435

Accuracy

99.9%

Counts

435 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	65.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
	66.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
✓	65.7%	(.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)
	16.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
✓	55.3%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
	42.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	54.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
	57.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
✓	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
	63.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
	12.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
	59.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
	12.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
	52.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
	67.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 c (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
	26.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
	28.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
	54.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
	57.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
✓	59.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
	28.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
	58.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
✓	28.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
✓	75.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
✓	61.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	43.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
	57.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
	52.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))

Compiler

Compiled 2 989 to 1 218 computations (59.3% saved)

regimes172.0ms (1.5%)

Memory

5.8MiB live, 204.7MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.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)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 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 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) 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 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) c))) y))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 c (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
(.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))))))

Outputs

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

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

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

Calls

9 calls:

44.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
33.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
16.0ms	y
16.0ms	c
15.0ms	x

Results

Accuracy	Segments	Branch
93.9%	1	`c`
93.9%	1	`x`
99.8%	3	`y`
93.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
93.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
93.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
93.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
93.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
93.9%	1	`(pow.f64 (E.f64) x)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes117.0ms (1%)

Memory

1.9MiB live, 202.2MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.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)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 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 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) 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))))

Outputs

(*.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)

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

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

Calls

9 calls:

21.0ms	y
14.0ms	c
13.0ms	x
12.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
12.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
75.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
77.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
77.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
85.4%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
84.4%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
84.4%	2	`(pow.f64 (E.f64) x)`
75.9%	1	`c`
84.4%	2	`x`
90.9%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes16.0ms (0.1%)

Memory

-7.7MiB live, 31.1MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.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)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 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 y #s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) 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 (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)

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.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)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes45.0ms (0.4%)

Memory

-31.5MiB live, 87.9MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))

Outputs

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

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

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

Calls

4 calls:

12.0ms	x
11.0ms	y
10.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
8.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
75.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
75.9%	1	`(pow.f64 (E.f64) x)`
75.9%	1	`x`
85.5%	3	`y`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes39.0ms (0.3%)

Memory

1.5MiB live, 79.4MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x)))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
75.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
75.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
77.5%	2	`y`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes85.0ms (0.7%)

Memory

6.7MiB live, 164.6MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) y) x (.f64 (.f64 #s(literal 1/6 binary64) c) y)) (.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) c) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (/.f64 #s(literal 1/2 binary64) c)) x) (/.f64 #s(literal 1/12 binary64) c)) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x c)) #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) c)) x (/.f64 #s(literal -1/2 binary64) c)) x (/.f64 #s(literal 1 binary64) c)) x))) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))

Outputs

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes71.0ms (0.6%)

Memory

7.4MiB live, 128.2MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))

Outputs

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

Calls

9 calls:

13.0ms	x
8.0ms	y
8.0ms	c
7.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
7.0ms	(pow.f64 (E.f64) x)

Results

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

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes65.0ms (0.6%)

Memory

7.1MiB live, 125.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x y) (.f64 c x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) #s(approx (/ (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) x) (*.f64 (/.f64 #s(literal 1/12 binary64) c) x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.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)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) c) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) x) c))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) c) x) x)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (.f64 (.f64 c x) #s(literal -1/2 binary64))) (.f64 y y))) x))

Outputs

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
63.0%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
63.0%	2	`(pow.f64 (E.f64) x)`
61.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
61.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
63.0%	2	`x`
62.9%	2	`y`
63.7%	2	`c`
61.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs
#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 #s(approx (- (pow (E) x) 1) x) c) y))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
63.6%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-20.5MiB live, 16.3MiB 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 y) x))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 21 computations (-90.9% saved)

bsearch61.0ms (0.5%)

Memory

27.8MiB live, 104.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.6942382446525493e-53	3.252474756691407e-50
26.0ms	-4.760320164711868e-92	-2.5667117000612715e-93

Samples

40.0ms	149×	1	valid
7.0ms	91×	0	valid

Compiler

Compiled 435 to 406 computations (6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-pow: 17.0ms (43.3% of total)

ival-e: 10.0ms (25.5% of total)

ival-mult: 4.0ms (10.2% of total)

adjust: 3.0ms (7.6% of total)

ival-log1p: 3.0ms (7.6% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch73.0ms (0.6%)

Memory

-2.0MiB live, 118.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.474623581721212e-19	7.495347459714245e-17
40.0ms	-5.206240480576776e+68	-4.602372618890695e+64

Samples

44.0ms	163×	1	valid
7.0ms	5×	1	invalid
6.0ms	77×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 606 to 525 computations (13.4% saved)

Precisions

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

ival-pow: 19.0ms (38.3% of total)

ival-e: 13.0ms (26.2% of total)

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

ival-mult: 5.0ms (10.1% of total)

adjust: 3.0ms (6% of total)

ival-log1p: 3.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

-32.5MiB live, 5.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	6.474623581721212e-19	7.495347459714245e-17
1.0ms	-5.206240480576776e+68	-4.602372618890695e+64

Compiler

Compiled 585 to 511 computations (12.6% saved)

bsearch2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.474623581721212e-19	7.495347459714245e-17
1.0ms	-5.206240480576776e+68	-4.602372618890695e+64

Compiler

Compiled 540 to 481 computations (10.9% saved)

bsearch108.0ms (0.9%)

Memory

-15.4MiB live, 212.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	4.165438565102448e+131	1.2507847812449856e+133
41.0ms	-6.843454566923825e+118	-4.885892291652535e+111

Samples

59.0ms	199×	1	valid
18.0ms	47×	1	invalid
6.0ms	71×	0	invalid
5.0ms	57×	0	valid

Compiler

Compiled 591 to 512 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 28.0ms (39.6% of total)

ival-e: 21.0ms (29.7% of total)

ival-mult: 8.0ms (11.3% of total)

adjust: 5.0ms (7.1% of total)

ival-log1p: 5.0ms (7.1% of total)

ival-sub: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory

2.9MiB live, 81.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	449418481949719600.0	8.296966634611096e+20

Samples

31.0ms	127×	1	valid
4.0ms	44×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 527 to 392 computations (25.6% saved)

Precisions

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

ival-pow: 12.0ms (44.2% of total)

ival-e: 5.0ms (18.4% of total)

ival-mult: 3.0ms (11.1% of total)

adjust: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

ival-log1p: 2.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch59.0ms (0.5%)

Memory

14.8MiB live, 53.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	6.812856298457842e+41	3.117682427088509e+44

Samples

49.0ms	96×	1	valid
3.0ms	32×	0	valid

Compiler

Compiled 415 to 312 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log1p: 28.0ms (59.7% of total)

ival-pow: 9.0ms (19.2% of total)

ival-e: 4.0ms (8.5% of total)

ival-mult: 3.0ms (6.4% of total)

adjust: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory

-26.9MiB live, 15.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	0.00018162655471450117	19.122016577273534

Samples

4.0ms	18×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 99 to 78 computations (21.2% saved)

Precisions

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

ival-pow: 2.0ms (46.6% of total)

ival-mult: 1.0ms (23.3% of total)

ival-e: 1.0ms (23.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify72.0ms (0.6%)

Memory

9.8MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	142	526
1	196	526
2	275	526
3	505	526
4	1015	524
5	2605	497
6	5535	497

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 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)))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -8599999999999999958830920730773896058906353844111419098726472520248175603955250535282634417319334192134319853619118080 binary64)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 5200000000000000015356960406509804870816830180138703630444862410636594257378387555038578091125553144184757724330180935460549988188160 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (<=.f64 y #s(literal 300000000000000000000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
(if (<=.f64 c #s(literal 2500000000000000034843029239853524782678016 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)))
(if (<=.f64 c #s(literal 3602879701896397/36028797018963968 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 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
(if (<=.f64 y #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 c y) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 y #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #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)))) c)))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 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)))
(if (or (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (not (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))))
(if (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -51999999999999999354859823694545135515243610046394553645146308608 binary64)) (not (<=.f64 y #s(literal 5841333965851681/81129638414606681695789005144064 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (pow (E) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))))
(if (<=.f64 y #s(literal -8599999999999999958830920730773896058906353844111419098726472520248175603955250535282634417319334192134319853619118080 binary64)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 5200000000000000015356960406509804870816830180138703630444862410636594257378387555038578091125553144184757724330180935460549988188160 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (or (<=.f64 y #s(literal -8599999999999999958830920730773896058906353844111419098726472520248175603955250535282634417319334192134319853619118080 binary64)) (not (<=.f64 y #s(literal 5200000000000000015356960406509804870816830180138703630444862410636594257378387555038578091125553144184757724330180935460549988188160 binary64)))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))))
(if (<=.f64 y #s(literal 300000000000000000000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 300000000000000000000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 x))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 x c) #s(approx (/ 1 (+ ( (* (- y (* y y)) 1/2) x) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 y (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (pow.f64 #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 (fma.f64 (/.f64 x c) #s(literal -1/2 binary64) (pow.f64 c #s(literal -1 binary64))) x)) #s(literal -1 binary64)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (pow.f64 #s(approx (/ (- (exp x) -1) ( (- (exp (* x 2)) 1) c)) (/.f64 #s(approx (+ (* (+ (* (/ 1/12 c) x) (/ -1/2 c)) x) (/ 1 c)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) c)) x)) #s(literal -1 binary64)) y))
(if (<=.f64 c #s(literal 2500000000000000034843029239853524782678016 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)))
(if (<=.f64 c #s(literal 3602879701896397/36028797018963968 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 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

soundness1.2s (10.1%)

Memory

42.5MiB live, 1 052.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	805	3327
1	2706	3032
0	8711	2668
0	11	43
0	18	43
1	70	43
2	454	38
3	4965	38
0	8945	23
0	674	2839
1	2323	2600
2	7380	2537
0	8632	2159
0	632	2645
1	2259	2486
2	7325	2477
0	8559	2050
0	280	1255
1	1010	1079
2	3371	1053
0	8422	965
0	35	190
0	57	187
1	182	187
2	1209	153
0	9133	150

Stop Event

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

Compiler

Compiled 1 111 to 561 computations (49.5% saved)

preprocess156.0ms (1.3%)

Memory: -21.9MiB live, 171.4MiB allocated
Remove: (negabs c)
Compiler: Compiled 1 320 to 492 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	34	51
3	46	51
4	55	51
5	69	51
6	100	51
7	154	51
8	278	51
9	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%)

analyze218.0ms (1.9%)

sample3.7s (31.7%)

explain236.0ms (2%)

preprocess123.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.1%)

localize93.0ms (0.8%)

series203.0ms (1.7%)

simplify218.0ms (1.9%)

rewrite180.0ms (1.5%)

eval52.0ms (0.4%)

prune14.0ms (0.1%)

simplify99.0ms (0.8%)

localize170.0ms (1.5%)

series535.0ms (4.6%)

simplify501.0ms (4.3%)

rewrite164.0ms (1.4%)

eval74.0ms (0.6%)

prune82.0ms (0.7%)

simplify133.0ms (1.1%)

localize255.0ms (2.2%)

series222.0ms (1.9%)

simplify289.0ms (2.5%)

rewrite300.0ms (2.6%)

eval98.0ms (0.8%)

prune82.0ms (0.7%)

simplify110.0ms (0.9%)

localize332.0ms (2.8%)

series228.0ms (2%)

simplify162.0ms (1.4%)

rewrite215.0ms (1.8%)

eval89.0ms (0.8%)

prune76.0ms (0.6%)

regimes172.0ms (1.5%)

regimes117.0ms (1%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes45.0ms (0.4%)

regimes39.0ms (0.3%)

regimes85.0ms (0.7%)

regimes71.0ms (0.6%)

regimes65.0ms (0.6%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

bsearch61.0ms (0.5%)

bsearch73.0ms (0.6%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch108.0ms (0.9%)

bsearch47.0ms (0.4%)

bsearch59.0ms (0.5%)

bsearch9.0ms (0.1%)

simplify72.0ms (0.6%)

soundness1.2s (10.1%)

preprocess156.0ms (1.3%)

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