Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze238.0ms (0.7%)

Memory

10.9MiB live, 229.7MiB allocated; 86ms collecting garbage

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)

sample24.6s (73.1%)

Memory

227.9MiB live, 36 722.8MiB allocated; 6.7s collecting garbage

Samples

19.4s	1 567×	5	exit
3.6s	4 857×	1	valid
379.0ms	683×	1	invalid
359.0ms	3 399×	0	valid
58.0ms	580×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 22.9s

ival-pow: 17.3s (75.6% of total)

ival-e: 3.9s (17% of total)

ival-log1p: 528.0ms (2.3% of total)

adjust: 471.0ms (2.1% of total)

ival-mult: 422.0ms (1.8% of total)

ival-sub: 237.0ms (1% of total)

exact: 18.0ms (0.1% of total)

ival-true: 14.0ms (0.1% of total)

ival-assert: 8.0ms (0% of total)

Bogosity

explain397.0ms (1.2%)

Memory

-13.8MiB live, 442.8MiB allocated; 63ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
159	44	(-1.503487654069834e+116 -1.0858713654631645e-140 1.6522420996316043e-251)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
19	0	-	3	(-3.420867285735651e+29 9.602747654759367e-226 -2.0339587993621343e-97)	`(.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	202	0
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	33	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	16	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	oflow-rescue	1	0
↳	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`	overflow	1
↳	`(pow.f64 (E.f64) x)`	overflow	1
↳	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	154	0
-	75	27

Precision

0.6724890829694323

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	154	0	0
-	75	0	27

Precision?

0.6724890829694323

Recall?

1.0

Freqs

test

number	freq
0	27
1	206
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

242.0ms	350×	1	valid
16.0ms	162×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-pow: 155.0ms (67% of total)

ival-e: 27.0ms (11.7% of total)

adjust: 21.0ms (9.1% of total)

ival-mult: 10.0ms (4.3% of total)

ival-log1p: 7.0ms (3% of total)

ival-sub: 5.0ms (2.2% of total)

ival-add: 4.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess170.0ms (0.5%)

Memory

34.3MiB live, 225.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	117
1	93	113
2	145	113
3	233	113
4	291	113
5	409	113
6	1312	113
7	4852	113
8	7215	113
0	11	12
0	18	12
1	27	12
2	38	12
3	58	12
4	88	12
5	183	12
6	1077	12
7	4612	12
8	6926	12
0	8436	10

Stop Event

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

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.4%	(.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)

simplify139.0ms (0.4%)

Memory

-30.2MiB live, 154.1MiB allocated; 38ms collecting garbage

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	38	51
3	58	51
4	88	51
5	183	51
6	1077	51
7	4612	51
8	6926	51
0	8436	46

Stop Event

1×	iter limit
1×	node limit
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

localize119.0ms (0.4%)

Memory

15.3MiB live, 209.9MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	4.272186815434327	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	35.57045835110943	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	40.90643616246967	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

90.0ms	175×	1	valid
20.0ms	81×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-pow: 49.0ms (51.7% of total)

ival-add: 12.0ms (12.7% of total)

ival-e: 11.0ms (11.6% of total)

adjust: 11.0ms (11.6% of total)

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

ival-log1p: 3.0ms (3.2% of total)

ival-sub: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series766.0ms (2.3%)

Memory

-156.1MiB live, 303.7MiB allocated; 1.1s collecting garbage

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
610.0ms	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))
67.0ms	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))
21.0ms	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))
19.0ms	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))
16.0ms	y	@	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))

simplify168.0ms (0.5%)

Memory

13.6MiB live, 250.5MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1255
1	1125	1082
2	4567	1052
0	8634	983

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

rewrite202.0ms (0.6%)

Memory

-14.8MiB live, 178.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	43
1	72	43
2	472	38
3	4703	38
0	8213	23

Stop Event

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

Counts

5 → 211

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
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(/.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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #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 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #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 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(-.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 (-.f64 (.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 (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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #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 (fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (+.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 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 y (expm1.f64 x)) (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 (-.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 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 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 (*.f64 y (expm1.f64 x)) (fma.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 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 #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 (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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) #s(literal 0 binary64))
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.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)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(.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)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.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 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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eval51.0ms (0.2%)

Memory: 16.7MiB live, 61.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 992 to 1 402 computations (79.9% saved)

prune39.0ms (0.1%)

Memory

-30.9MiB live, 26.1MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	244	15	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	245	15	260

Accuracy

99.5%

Counts

260 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	51.3%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))))
	43.2%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
	80.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	39.2%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
	39.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
▶	40.2%	(.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)))))
▶	43.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	33.3%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	46.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
▶	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	55.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
	47.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
	55.8%	#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))
▶	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 718 to 498 computations (30.6% saved)

simplify144.0ms (0.4%)

Memory

19.1MiB live, 109.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 y x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
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	38	297
0	66	297
1	118	297
2	275	297
3	831	297
4	3055	264
0	8278	254

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

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

localize307.0ms (0.9%)

Memory

-14.7MiB live, 220.5MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.847200782799643	(*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	4.272186815434327	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
accuracy	16.39993329607545	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))
accuracy	35.57045835110943	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 y x #s(literal 1 binary64))
accuracy	4.272186815434327	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
accuracy	12.549363677388705	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	35.57045835110943	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	1.6897827206668705	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
accuracy	4.068139299228341	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	4.272186815434327	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
accuracy	26.1557613575064	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))
accuracy	0.0	(*.f64 c y)
accuracy	4.366168717702628	(.f64 (.f64 c y) x)
accuracy	24.58717762425979	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.00390625	(*.f64 y (expm1.f64 x))
accuracy	0.25381308487460297	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	4.272186815434327	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

201.0ms	173×	1	valid
22.0ms	83×	0	valid

Compiler

Compiled 236 to 36 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-pow: 69.0ms (40.8% of total)

ival-mult: 42.0ms (24.8% of total)

adjust: 19.0ms (11.2% of total)

ival-e: 10.0ms (5.9% of total)

ival-add: 8.0ms (4.7% of total)

ival-expm1: 7.0ms (4.1% of total)

ival-log1p: 7.0ms (4.1% of total)

ival-sub: 4.0ms (2.4% of total)

const: 4.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series341.0ms (1%)

Memory

18.9MiB live, 353.7MiB allocated; 39ms collecting garbage

Counts

20 → 127

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

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

Calls

9 calls:

Time	Variable		Point	Expression
77.0ms	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)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)))
70.0ms	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)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)))
52.0ms	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)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)))
45.0ms	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)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)))
43.0ms	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)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)))

simplify242.0ms (0.7%)

Memory

-19.9MiB live, 168.1MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2660
1	2229	2509
0	8992	2203

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 125

Calls

Call 1

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

rewrite227.0ms (0.7%)

Memory

12.8MiB live, 197.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	255
0	66	255
1	253	255
2	1834	255
0	8741	234

Stop Event

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

Counts

20 → 232

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

Outputs
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (-.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) y)
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y))
(.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (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))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 y (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 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (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 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (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 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 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 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.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))))
(expm1.f64 x)
(-.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (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))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c x) y)
(.f64 (.f64 x c) y)
(.f64 (.f64 x y) c)
(.f64 (.f64 c y) x)
(.f64 c (.f64 x y))
(.f64 x (.f64 c y))
(.f64 y (.f64 c x))
(*.f64 c y)
(*.f64 y c)
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))))
(/.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)) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.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 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y))))
(/.f64 (neg.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 (neg.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y)) (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y) (.f64 y y))) (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y) (-.f64 (.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (.f64 y (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y)
(fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y y)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) y)
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y)
(fma.f64 y #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) (*.f64 #s(literal -1 binary64) y))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y) y)
(+.f64 y (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y))

eval62.0ms (0.2%)

Memory: 38.5MiB live, 83.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 12 695 to 1 796 computations (85.9% saved)

prune75.0ms (0.2%)

Memory

-24.3MiB live, 40.7MiB allocated; 43ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	335	14	349
Fresh	5	5	10
Picked	1	4	5
Done	0	0	0
Total	341	23	364

Accuracy

99.6%

Counts

364 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	63.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.3%	(.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)
	63.3%	(.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)
	14.8%	(.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)
	6.9%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	55.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	43.2%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
▶	80.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
▶	30.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 #s(approx (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) x #s(literal 1 binary64)))))
✓	43.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	33.3%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 x y))))
▶	46.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
✓	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	25.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x)) x)))
	53.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x)))
	52.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y)) x)))
	31.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)) x)))
	76.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
▶	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
▶	55.8%	#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))
✓	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 031 to 755 computations (26.8% saved)

simplify187.0ms (0.6%)

Memory

-10.1MiB live, 181.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	540
0	103	540
1	216	540
2	698	540
3	3337	540
0	8223	514

Stop Event

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

Calls

Call 1

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

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

localize458.0ms (1.4%)

Memory

16.6MiB live, 428.3MiB allocated; 84ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.057226856860501	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)
accuracy	16.39993329607545	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 #s(approx (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) x #s(literal 1 binary64)))
accuracy	35.57045835110943	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 #s(approx (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) x #s(literal 1 binary64))))
accuracy	42.770537671602405	#s(approx (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))
accuracy	3.8502297680106343	(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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)
accuracy	4.272186815434327	(.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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
accuracy	12.00535052414946	(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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
accuracy	25.368998224746377	#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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
accuracy	2.1863965285341314	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy	2.9671771867620076	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
accuracy	4.068139299228341	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	25.721350102045637	#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 x c)
accuracy	3.302681968468441	(.f64 (.f64 x c) y)
accuracy	24.58717762425979	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
accuracy	0.20224389652663022	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
accuracy	4.272186815434327	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
accuracy	5.815042933710755	(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
accuracy	7.994167433443655	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

329.0ms	173×	1	valid
69.0ms	82×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 454 to 60 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-pow: 141.0ms (39% of total)

ival-mult: 86.0ms (23.8% of total)

adjust: 50.0ms (13.8% of total)

ival-log1p: 35.0ms (9.7% of total)

ival-add: 17.0ms (4.7% of total)

ival-e: 10.0ms (2.8% of total)

ival-expm1: 10.0ms (2.8% of total)

ival-sub: 6.0ms (1.7% of total)

const: 4.0ms (1.1% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series417.0ms (1.2%)

Memory

5.4MiB live, 463.8MiB allocated; 106ms collecting garbage

Counts

23 → 202

Calls

Call 1

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

Outputs
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(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* 1/3 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (/ 1 y)))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))) (/ 1 (* y (- (exp x) 1))))
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))) (/ 1 (* y (- (exp x) 1))))
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (+ (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (* 2/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (/ 1 (* y (- (exp x) 1))))
(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))))
(* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))))
(+ (* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))))
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(+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y))))
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(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(* 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)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 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 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (/ 1 y))))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
114.0ms	c	@	0	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* (* (* x x) 1/6) y))
89.0ms	x	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* (* (* x x) 1/6) y))
76.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* (* (* x x) 1/6) y))
57.0ms	x	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* (* (* x x) 1/6) y))
35.0ms	c	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (* (* (* x x) 1/6) y))

simplify183.0ms (0.5%)

Memory

-3.0MiB live, 280.9MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	984	5295
1	3662	5025
0	8599	4400

Stop Event

1×	iter limit
1×	node limit

Counts

202 → 201

Calls

Call 1

Inputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c x)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(* x (+ (* -1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* c (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* x (+ (* c (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))))) (* c (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))))))))))
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(* x (- (* x (- (* x (- (+ (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2)))))))))) (pow y 3)) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 1/720 (* x (+ (* -360 (pow y 6)) (* 540 (pow y 3))))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 3/4 (* x (pow y 3))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* 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 (* 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)))))
(* -1/2 (- (pow y 2) y))
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(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
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(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
1
(+ 1 (* x (* y (log (E)))))
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Outputs
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(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.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))) (neg.f64 y))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (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)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.f64 (-.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)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (neg.f64 y))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(+.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 6 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (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 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (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 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (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 c y) (/.f64 (neg.f64 c) (-.f64 (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 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.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)) (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) c) (.f64 x x) (.f64 (neg.f64 c) (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) y))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) x (.f64 (neg.f64 c) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 y y))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)) (neg.f64 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (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 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (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 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))
(+ (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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.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)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))) (neg.f64 y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (- (* -1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y))) (neg.f64 y))) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 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))) (neg.f64 y))) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y))))

rewrite181.0ms (0.5%)

Memory

48.7MiB live, 282.5MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	443
0	103	443
1	432	443
2	3464	443
0	8499	406

Stop Event

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

Counts

23 → 300

Calls

Call 1

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

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

eval87.0ms (0.3%)

Memory: -12.5MiB live, 132.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 21 968 to 2 777 computations (87.4% saved)

prune36.0ms (0.1%)

Memory

-3.8MiB live, 86.5MiB allocated; 9ms collecting garbage

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	488	11	499
Fresh	3	11	14
Picked	2	3	5
Done	0	4	4
Total	493	29	522

Accuracy

99.6%

Counts

522 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
✓	92.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	63.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
▶	64.3%	(.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)
	63.3%	(.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)
	14.8%	(.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)
	6.9%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
▶	55.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	43.2%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))
✓	80.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
✓	30.0%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 #s(approx (* y (+ (* (+ (* 1/6 x) 1/2) x) 1)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) x #s(literal 1 binary64)))))
✓	43.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	33.3%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	72.7%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (*.f64 (expm1.f64 x) y)))
▶	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 x y))))
✓	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	23.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) x)))
▶	50.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)))
	54.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) y y)) x)))
	54.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	53.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
	26.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y))) x)))
	53.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x)))
	31.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)) x)))
✓	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	58.4%	#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) (-.f64 (.f64 x y) x) #s(literal 1 binary64)) y))) x))
✓	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	52.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (/.f64 (.f64 y c) x)) x)) x))
	50.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))))) x))

Compiler

Compiled 1 769 to 1 209 computations (31.7% saved)

simplify176.0ms (0.5%)

Memory

27.8MiB live, 211.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	627
0	110	627
1	225	624
2	693	609
3	3005	592
4	7148	592
0	8016	530

Stop Event

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

Calls

Call 1

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

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

localize470.0ms (1.4%)

Memory

20.8MiB live, 758.2MiB allocated; 194ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.25381308487460297	(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))))
accuracy	4.272186815434327	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
accuracy	19.004623303221305	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	1.2323088879468536	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)
accuracy	3.8502297680106343	(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y)
accuracy	4.272186815434327	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)))
accuracy	25.368998224746377	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x))
accuracy	4.051559997888758	(.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)
accuracy	4.272186815434327	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 x y))))
accuracy	4.443666264799134	(fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 x y))
accuracy	26.1557613575064	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 x y)))
accuracy	0.0	(*.f64 x y)
accuracy	4.272186815434327	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
accuracy	25.651395421685688	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
accuracy	0.0	(expm1.f64 x)
accuracy	0.00390625	(*.f64 (expm1.f64 x) y)
accuracy	4.272186815434327	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (*.f64 (expm1.f64 x) y)))
accuracy	13.332745599222877	#s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (*.f64 (expm1.f64 x) y))

Samples

344.0ms	173×	1	valid
72.0ms	82×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 429 to 64 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 106.0ms (28.9% of total)

ival-add: 72.0ms (19.6% of total)

adjust: 62.0ms (16.9% of total)

ival-pow: 62.0ms (16.9% of total)

ival-log1p: 17.0ms (4.6% of total)

ival-sub: 16.0ms (4.4% of total)

ival-e: 10.0ms (2.7% of total)

ival-expm1: 10.0ms (2.7% of total)

const: 9.0ms (2.5% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series397.0ms (1.2%)

Memory

-23.2MiB live, 346.6MiB allocated; 174ms collecting garbage

Counts

23 → 176

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
119.0ms	c	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* (* (- y (* y y)) 1/2) x) x) (* x y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* 1/3 (* x y)) (* -1/2 x)) (+ (+ (* (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* (- y (* y y)) 1/2) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* 1/6 x) 1/2))
75.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* (* (- y (* y y)) 1/2) x) x) (* x y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* 1/3 (* x y)) (* -1/2 x)) (+ (+ (* (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* (- y (* y y)) 1/2) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* 1/6 x) 1/2))
66.0ms	x	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* (* (- y (* y y)) 1/2) x) x) (* x y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* 1/3 (* x y)) (* -1/2 x)) (+ (+ (* (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* (- y (* y y)) 1/2) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* 1/6 x) 1/2))
62.0ms	c	@	0	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* (* (- y (* y y)) 1/2) x) x) (* x y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* 1/3 (* x y)) (* -1/2 x)) (+ (+ (* (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* (- y (* y y)) 1/2) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* 1/6 x) 1/2))
57.0ms	x	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* (* (- y (* y y)) 1/2) x) x) (* x y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* 1/3 (* x y)) (* -1/2 x)) (+ (+ (* (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (* (- y (* y y)) 1/2) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* 1/6 x) 1/2))

simplify255.0ms (0.8%)

Memory

-21.7MiB live, 164.3MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	878	4585
1	3246	4410
0	8522	3823

Stop Event

1×	iter limit
1×	node limit

Counts

176 → 174

Calls

Call 1

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

rewrite238.0ms (0.7%)

Memory

-3.6MiB live, 183.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	480
0	110	478
1	487	443
2	4104	439
0	8233	390

Stop Event

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

Counts

23 → 200

Calls

Call 1

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

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

eval57.0ms (0.2%)

Memory: 32.3MiB live, 75.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 19 861 to 2 320 computations (88.3% saved)

prune66.0ms (0.2%)

Memory

-18.8MiB live, 80.6MiB allocated; 16ms collecting garbage

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	367	10	377
Fresh	6	11	17
Picked	2	3	5
Done	2	5	7
Total	377	29	406

Accuracy

99.6%

Counts

406 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
✓	92.9%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	63.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
✓	64.3%	(.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)
	63.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c)
	63.3%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	14.8%	(.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)
	6.9%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
✓	55.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
✓	80.5%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
✓	43.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	33.3%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
✓	72.7%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (*.f64 (expm1.f64 x) y)))
	53.5%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
	54.1%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
	53.5%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) #s(approx (* (- (exp x) 1) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) y) x))))
	50.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 (.f64 #s(approx ( (- y (* y y)) 1/2) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x) x (*.f64 x y))))
	53.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 #s(approx (* (* (- y (* y y)) 1/2) x) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x y) x)) y)) x (.f64 x y))))
	26.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y y)) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y y)) x) y)))))
	23.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) x)))
	50.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 #s(approx (+ (+ ( (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) x y) x)))
	49.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 #s(approx (+ (+ ( (- (+ (* 1/3 (* x y)) (* -1/2 x)) 1/2) y) (* 1/6 x)) 1/2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y)) x y) x)))
	54.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) y y)) x)))
	31.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)) x)))
✓	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	58.4%	#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) (-.f64 (.f64 x y) x) #s(literal 1 binary64)) y))) x))
✓	62.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	52.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (/.f64 (.f64 y c) x)) x)) x))
	50.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) c) (-.f64 y (.f64 y y)) (.f64 (neg.f64 c) (/.f64 y x))))) x))

Compiler

Compiled 2 735 to 1 068 computations (61% saved)

regimes121.0ms (0.4%)

Memory

6.5MiB live, 97.6MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

9 calls:

28.0ms	c
16.0ms	(pow.f64 (E.f64) x)
13.0ms	y
13.0ms	x
10.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
92.9%	1	`(pow.f64 (E.f64) x)`
92.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
92.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
92.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
92.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
92.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
92.9%	1	`c`
92.9%	1	`x`
99.4%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes147.0ms (0.4%)

Memory

-8.6MiB live, 128.9MiB allocated; 35ms collecting garbage

Counts

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

Outputs

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

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

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

27.0ms	x
13.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
11.0ms	c
10.0ms	y
8.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Results

Accuracy	Segments	Branch
82.9%	2	`(pow.f64 (E.f64) x)`
82.9%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.4%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
78.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
78.3%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
76.7%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
81.2%	3	`c`
82.9%	2	`x`
89.4%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes12.0ms (0%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.3%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0%)

Memory

-19.5MiB live, 25.6MiB allocated; 3ms collecting garbage

Counts

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes55.0ms (0.2%)

Memory

-23.2MiB live, 118.0MiB allocated; 17ms collecting garbage

Counts

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

Outputs

(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (*.f64 (expm1.f64 x) y)))

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

Calls

6 calls:

13.0ms	y
11.0ms	c
9.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
8.0ms	x
7.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
79.2%	2	`c`
76.7%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
76.7%	1	`(pow.f64 (E.f64) x)`
76.7%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
76.7%	1	`x`
76.7%	1	`y`

Compiler

Compiled 18 to 29 computations (-61.1% saved)

regimes31.0ms (0.1%)

Memory

28.5MiB live, 73.8MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

4 calls:

9.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
8.0ms	c
6.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Results

Accuracy	Segments	Branch
76.7%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
76.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
76.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
76.7%	1	`c`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes74.0ms (0.2%)

Memory

-29.8MiB live, 158.8MiB allocated; 24ms collecting garbage

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

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

Calls

9 calls:

12.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
11.0ms	x
9.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
9.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
7.0ms	c

Results

Accuracy	Segments	Branch
62.3%	1	`x`
64.1%	2	`y`
62.3%	1	`(pow.f64 (E.f64) x)`
62.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
64.3%	2	`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	`(*.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	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes2.0ms (0%)

Memory

9.0MiB live, 9.1MiB allocated; 0ms collecting garbage

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

2 calls:

1.0ms	c
1.0ms	y

Results

Accuracy	Segments	Branch
62.3%	1	`y`
62.3%	1	`c`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch127.0ms (0.4%)

Memory

-7.4MiB live, 184.3MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
69.0ms	5.155869790682801e-62	9.52732029162645e-62
54.0ms	-1.0645181584993004e-64	-3.4095923792057e-76

Samples

100.0ms	135×	1	valid
7.0ms	89×	0	valid

Compiler

Compiled 365 to 338 computations (7.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-e: 52.0ms (52.5% of total)

ival-pow: 35.0ms (35.3% of total)

adjust: 4.0ms (4% of total)

ival-mult: 4.0ms (4% of total)

ival-sub: 2.0ms (2% of total)

ival-log1p: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch74.0ms (0.2%)

Memory

-0.7MiB live, 115.2MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.254900493793098e-17	1.2858448041734118e-16
42.0ms	-1.3386458720463024e+29	-2.0223326231612003e+27

Samples

56.0ms	127×	1	valid
5.0ms	65×	0	valid
0.0ms	1×	1	invalid

Compiler

Compiled 509 to 438 computations (13.9% saved)

Precisions

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

ival-pow: 36.0ms (66.3% of total)

ival-e: 7.0ms (12.9% of total)

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

adjust: 3.0ms (5.5% of total)

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

ival-log1p: 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)

bsearch2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.254900493793098e-17	1.2858448041734118e-16
1.0ms	-1.3386458720463024e+29	-2.0223326231612003e+27

Compiler

Compiled 494 to 428 computations (13.4% saved)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.254900493793098e-17	1.2858448041734118e-16
1.0ms	-1.3386458720463024e+29	-2.0223326231612003e+27

Compiler

Compiled 479 to 418 computations (12.7% saved)

bsearch65.0ms (0.2%)

Memory

-33.3MiB live, 104.2MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.254900493793098e-17	1.2858448041734118e-16
56.0ms	-2.778610766294284e+124	-3.3988103871209433e+120

Samples

42.0ms	82×	1	valid
4.0ms	46×	0	valid
3.0ms	12×	1	invalid
0.0ms	6×	0	invalid

Compiler

Compiled 457 to 406 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 29.0ms (65.5% of total)

ival-e: 6.0ms (13.6% of total)

adjust: 3.0ms (6.8% of total)

ival-mult: 3.0ms (6.8% of total)

ival-log1p: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch230.0ms (0.7%)

Memory

15.2MiB live, 241.8MiB allocated; 83ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
140.0ms	1.4704351339110448e+143	6.304010387439088e+147
80.0ms	-1.8823620068905313e+167	-1.388494179974494e+165

Samples

156.0ms	195×	1	valid
28.0ms	69×	0	invalid
18.0ms	45×	1	invalid
4.0ms	45×	0	valid

Compiler

Compiled 540 to 466 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-pow: 130.0ms (76.5% of total)

ival-e: 17.0ms (10% of total)

adjust: 7.0ms (4.1% of total)

ival-mult: 7.0ms (4.1% of total)

ival-log1p: 5.0ms (2.9% of total)

ival-sub: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory

41.2MiB live, 41.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
19.0ms	6.925337177683716e-31	1.7761421898162322e-29

Samples

15.0ms	32×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 180 to 127 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 10.0ms (66.4% of total)

ival-e: 2.0ms (13.3% of total)

adjust: 1.0ms (6.6% of total)

ival-mult: 1.0ms (6.6% of total)

ival-log1p: 1.0ms (6.6% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6.925337177683716e-31	1.7761421898162322e-29

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify83.0ms (0.2%)

Memory

-35.2MiB live, 54.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	463
1	160	463
2	287	463
3	993	463
4	4155	463

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (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 -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (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 -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -3500000000000000073355802715259173611517124131519963613445580914425273684795303000809442777785274043517875832516625039360 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 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -2799999999999999800406466862537304546583425939963491982359514899872076737032408193728950107087800610592172346645177568667608856116381163380626555013234710694338756608 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 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (<=.f64 c #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (.f64 (expm1.f64 x) y))) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(if (<=.f64 c #s(literal 178405961588245/178405961588244985132285746181186892047843328 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 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
(if (<=.f64 y #s(literal -3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (not (<=.f64 y #s(literal 5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (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 -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (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 -4900000000000000147572391936 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -3500000000000000073355802715259173611517124131519963613445580914425273684795303000809442777785274043517875832516625039360 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 2535301200456459/20282409603651670423947251286016 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -3500000000000000073355802715259173611517124131519963613445580914425273684795303000809442777785274043517875832516625039360 binary64)) (not (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 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) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -2799999999999999800406466862537304546583425939963491982359514899872076737032408193728950107087800610592172346645177568667608856116381163380626555013234710694338756608 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 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.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 -2799999999999999800406466862537304546583425939963491982359514899872076737032408193728950107087800610592172346645177568667608856116381163380626555013234710694338756608 binary64)) (not (<=.f64 y #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 c #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (.f64 (expm1.f64 x) y))) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(if (<=.f64 c #s(literal 178405961588245/178405961588244985132285746181186892047843328 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 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

derivations985.0ms (2.9%)

Memory

30.4MiB live, 774.0MiB allocated; 143ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	984	5295
1	3662	5025
0	8599	4400
0	38	255
0	66	255
1	253	255
2	1834	255
0	8741	234
0	878	4585
1	3246	4410
0	8522	3823
0	590	2660
1	2229	2509
0	8992	2203
0	280	1255
1	1125	1082
2	4567	1052
0	8634	983
0	11	43
0	18	43
1	72	43
2	472	38
3	4703	38
0	8213	23

Stop Event

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

Compiler

Compiled 463 to 119 computations (74.3% saved)

preprocess106.0ms (0.3%)

Memory: 4.2MiB live, 145.6MiB allocated; 27ms collecting garbage
Remove: (negabs c)
Compiler: Compiled 1 032 to 322 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze238.0ms (0.7%)

sample24.6s (73.1%)

explain397.0ms (1.2%)

preprocess170.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (0.4%)

localize119.0ms (0.4%)

series766.0ms (2.3%)

simplify168.0ms (0.5%)

rewrite202.0ms (0.6%)

eval51.0ms (0.2%)

prune39.0ms (0.1%)

simplify144.0ms (0.4%)

localize307.0ms (0.9%)

series341.0ms (1%)

simplify242.0ms (0.7%)

rewrite227.0ms (0.7%)

eval62.0ms (0.2%)

prune75.0ms (0.2%)

simplify187.0ms (0.6%)

localize458.0ms (1.4%)

series417.0ms (1.2%)

simplify183.0ms (0.5%)

rewrite181.0ms (0.5%)

eval87.0ms (0.3%)

prune36.0ms (0.1%)

simplify176.0ms (0.5%)

localize470.0ms (1.4%)

series397.0ms (1.2%)

simplify255.0ms (0.8%)

rewrite238.0ms (0.7%)

eval57.0ms (0.2%)

prune66.0ms (0.2%)

regimes121.0ms (0.4%)

regimes147.0ms (0.4%)

regimes12.0ms (0%)

regimes12.0ms (0%)

regimes13.0ms (0%)

regimes10.0ms (0%)

regimes55.0ms (0.2%)

regimes31.0ms (0.1%)

regimes74.0ms (0.2%)

regimes2.0ms (0%)

bsearch127.0ms (0.4%)

bsearch74.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch65.0ms (0.2%)

bsearch230.0ms (0.7%)

bsearch20.0ms (0.1%)

bsearch1.0ms (0%)

simplify83.0ms (0.2%)

derivations985.0ms (2.9%)

preprocess106.0ms (0.3%)

end0.0ms (0%)

Profiling