Metrics for Logarithmic Transform

start0.0ms (0%)

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

analyze777.0ms (2.2%)

Memory

-155.8MiB live, 576.8MiB allocated; 1.1s 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)

sample24.7s (69.3%)

Memory

252.3MiB live, 29 481.9MiB allocated; 6.4s collecting garbage

Samples

20.1s	1 587×	5	exit
2.8s	4 679×	1	valid
493.0ms	722×	1	invalid
409.0ms	3 577×	0	valid
72.0ms	645×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 23.1s

ival-pow: 18.4s (79.6% of total)

ival-e: 3.1s (13.5% of total)

adjust: 561.0ms (2.4% of total)

ival-log1p: 429.0ms (1.9% of total)

ival-mult: 371.0ms (1.6% of total)

ival-sub: 200.0ms (0.9% of total)

exact: 15.0ms (0.1% of total)

ival-true: 13.0ms (0.1% of total)

ival-assert: 7.0ms (0% of total)

Bogosity

explain351.0ms (1%)

Memory

-1.7MiB live, 515.7MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
183	0	-	1	(1.198264374566052e-251 0.0206683551531065 -1.032930436987901e-286)	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
165	39	(-4.807882400801676e+283 -1.2784683156352771e-120 -2.0095820193055853e-283)	1	(-3.281374471858774e-183 -3.514878695094292e-88 3.254687307860718e+85)	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
14	0	-	1	(3.0636109865917797e+37 2.765712813333238e-138 4.421037185794472e-178)	`(.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	203	1
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	39	0
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	13	0

Confusion

	Predicted +	Predicted -
+	162	0
-	71	23

Precision

0.6952789699570815

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	162	0	0
-	71	0	23

Precision?

0.6952789699570815

Recall?

1.0

Freqs

test

number	freq
0	23
1	211
2	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

185.0ms	360×	1	valid
40.0ms	152×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow: 95.0ms (51.4% of total)

ival-e: 46.0ms (24.9% of total)

adjust: 14.0ms (7.6% of total)

ival-mult: 14.0ms (7.6% of total)

ival-log1p: 7.0ms (3.8% of total)

ival-sub: 5.0ms (2.7% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess187.0ms (0.5%)

Memory

-6.9MiB live, 177.3MiB allocated; 38ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.0%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify165.0ms (0.5%)

Memory

-1.9MiB live, 149.4MiB allocated; 16ms 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

localize121.0ms (0.3%)

Memory

-4.4MiB live, 182.7MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	3.3000027922220663	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	37.84897794779514	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	41.93981227705891	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

99.0ms	180×	1	valid
10.0ms	76×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-pow: 49.0ms (52.9% of total)

adjust: 16.0ms (17.3% of total)

ival-e: 14.0ms (15.1% of total)

ival-mult: 5.0ms (5.4% of total)

ival-log1p: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-add: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series274.0ms (0.8%)

Memory

-4.6MiB live, 359.6MiB allocated; 101ms 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
95.0ms	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))
68.0ms	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))
38.0ms	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))
19.0ms	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))
16.0ms	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))

simplify178.0ms (0.5%)

Memory

10.9MiB live, 192.0MiB allocated; 22ms 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)))))
(* 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))))))
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Outputs
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (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))

rewrite177.0ms (0.5%)

Memory

-10.2MiB live, 225.9MiB allocated; 24ms 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)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
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eval37.0ms (0.1%)

Memory: 27.1MiB live, 71.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 992 to 1 402 computations (79.9% saved)

prune37.0ms (0.1%)

Memory

-46.5MiB live, 53.2MiB allocated; 19ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	239	20	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	240	20	260

Accuracy

99.9%

Counts

260 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	57.5%	(.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)))))))
	24.2%	(.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))))))
	86.7%	(.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))))))
	15.4%	(.f64 c (-.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)))))
	43.0%	(.f64 c (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (.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)))))))
	40.3%	(.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))))
	40.6%	(.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)))))
	40.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
	42.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	31.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	47.9%	(.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)))
	52.7%	(.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)))
	59.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
▶	9.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 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 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
	53.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
▶	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
	57.9%	#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))
▶	63.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 094 to 730 computations (33.3% saved)

simplify176.0ms (0.5%)

Memory

47.5MiB live, 286.5MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(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)))
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 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 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
cost-diff	0	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
cost-diff	0	(.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
cost-diff	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	(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
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	50	404
0	87	404
1	151	404
2	431	404
3	1833	404
4	7174	404
0	9151	388

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

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

localize230.0ms (0.6%)

Memory

1.2MiB live, 383.0MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.49651834780678306	(/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
accuracy	12.70437677664109	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	13.729987226151552	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 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 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	38.74924316492219	(E.f64)
accuracy	0.5083874689103094	(.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
accuracy	9.032159018837751	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
accuracy	12.70437677664109	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy	38.74924316492219	(E.f64)
accuracy	0.7903982928018578	(.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	1.423528810764969	(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	5.568916001342331	(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	13.933421602158237	#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	0.0	(*.f64 c y)
accuracy	1.4726239905923588	(.f64 (.f64 c y) x)
accuracy	12.876467665561833	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.0	(*.f64 y (expm1.f64 x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.00390625	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0.7903982928018578	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

72.0ms	160×	0	invalid
70.0ms	54×	1	valid
46.0ms	40×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 46.0ms (29.5% of total)

ival-pow: 27.0ms (17.3% of total)

ival-log: 23.0ms (14.7% of total)

adjust: 15.0ms (9.6% of total)

ival-add: 10.0ms (6.4% of total)

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

ival-sub: 6.0ms (3.8% of total)

ival-log1p: 6.0ms (3.8% of total)

const: 5.0ms (3.2% of total)

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

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

ival-expm1: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series684.0ms (1.9%)

Memory

-29.7MiB live, 538.9MiB allocated; 69ms collecting garbage

Counts

23 → 164

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

Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (- (+ (log (- 1 (pow (E) x))) (/ 1 (* y (- (pow (E) x) 1)))) (log (/ -1 y))))
(/ c (* y (- (pow (E) x) 1)))
(* -1 (* c (- (* -1 (- (log (- 1 (pow (E) x))) (log (/ -1 y)))) (/ 1 (* y (- (pow (E) x) 1))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* 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 (- (pow y 2) y)))))
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(/ c (* x (* y (log (E)))))
(/ (+ (* x (- (* c (- (+ (log x) (log (neg (log (E))))) (log (/ -1 y)))) (* 1/2 (/ c y)))) (/ c (* y (log (E))))) x)
(/ (+ (* x (- (+ (* c (- (+ (log x) (log (neg (log (E))))) (log (/ -1 y)))) (* x (- (* 1/2 (* c (log (E)))) (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y)))))) (* 1/2 (/ c y)))) (/ c (* y (log (E))))) x)
(/ (+ (* x (- (+ (* c (- (+ (log x) (log (neg (log (E))))) (log (/ -1 y)))) (* x (- (+ (* 1/2 (* c (log (E)))) (* x (- (* 1/2 (* c (+ (* -1/4 (pow (log (E)) 2)) (* 1/3 (pow (log (E)) 2))))) (+ (* -1/2 (* (log (E)) (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y))))) (+ (* -1/12 (/ (* c (pow (log (E)) 2)) y)) (* 1/24 (/ (* c (pow (log (E)) 2)) y))))))) (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y)))))) (* 1/2 (/ c y)))) (/ c (* y (log (E))))) x)
(- (+ (log x) (log (neg (log (E))))) (log (/ -1 y)))
(- (+ (log x) (+ (log (neg (log (E)))) (* 1/2 (* x (log (E)))))) (log (/ -1 y)))
(- (+ (log x) (+ (log (neg (log (E)))) (* x (+ (* 1/2 (log (E))) (* 1/2 (* x (+ (* -1/4 (pow (log (E)) 2)) (* 1/3 (pow (log (E)) 2))))))))) (log (/ -1 y)))
(- (+ (log x) (+ (log (neg (log (E)))) (* x (+ (* 1/2 (log (E))) (* x (+ (* 1/6 (* x (+ (* -1/2 (pow (log (E)) 3)) (* 1/2 (pow (log (E)) 3))))) (* 1/2 (+ (* -1/4 (pow (log (E)) 2)) (* 1/3 (pow (log (E)) 2)))))))))) (log (/ -1 y)))
(+ (log x) (log (neg (log (E)))))
(+ (log x) (+ (log (neg (log (E)))) (* 1/2 (* x (log (E))))))
(+ (log x) (+ (log (neg (log (E)))) (* x (+ (* 1/2 (log (E))) (* 1/2 (* x (+ (* -1/4 (pow (log (E)) 2)) (* 1/3 (pow (log (E)) 2)))))))))
(+ (log x) (+ (log (neg (log (E)))) (* x (+ (* 1/2 (log (E))) (* x (+ (* 1/6 (* x (+ (* -1/2 (pow (log (E)) 3)) (* 1/2 (pow (log (E)) 3))))) (* 1/2 (+ (* -1/4 (pow (log (E)) 2)) (* 1/3 (pow (log (E)) 2))))))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))
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))))))))
(/ (+ (* -1/2 (/ (* c x) y)) (/ c (* y (log (E))))) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y))))) (* 1/2 (/ c y)))) (/ c (* y (log (E))))) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (log (E)) (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y))))) (+ (* -1/12 (/ (* c (pow (log (E)) 2)) y)) (* 1/24 (/ (* c (pow (log (E)) 2)) y)))))) (+ (* -1/4 (/ (* c (log (E))) y)) (* 1/6 (/ (* c (log (E))) y))))) (* 1/2 (/ c y)))) (/ c (* y (log (E))))) x)
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(log (+ 1 (* y (- (pow (E) x) 1))))
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))))
(- (pow (E) x) 1)
(+ (* c (- (log (- 1 (pow (E) x))) (log (/ -1 y)))) (/ c (* y (- (pow (E) x) 1))))
(- (log (- 1 (pow (E) x))) (log (/ -1 y)))
(log (- 1 (pow (E) x)))
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* 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 (* x (+ 1/2 (* 1/6 x))))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2)))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2))))))
(/ (+ (* c (* y (- (log (- 1 (pow (E) x))) (+ (log -1) (* -1 (log y)))))) (/ c (- (pow (E) x) 1))) y)
(- (log (- 1 (pow (E) x))) (+ (log -1) (* -1 (log y))))
(* y (+ 1/2 (* 1/6 x)))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))))
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(* 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 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(+ (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)))))
(* 1/3 (* (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))))
(* c (- (log (- 1 (pow (E) x))) (+ (log -1) (log (/ 1 y)))))
(+ (* c (- (log (- 1 (pow (E) x))) (+ (log -1) (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(- (log (- 1 (pow (E) x))) (+ (log -1) (log (/ 1 y))))
(* 1/3 (* x (pow y 3)))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* 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 (- (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))))))
(+ (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)))))
(* c (- (log (- 1 (pow (E) x))) (log (/ -1 y))))
(* -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))))
(* -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
194.0ms	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) (* (+ (* 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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) (log (neg (- (pow (E) x) 1))) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (E) (/ c (* (- (pow (E) x) 1) y)))
127.0ms	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) (* (+ (* 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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) (log (neg (- (pow (E) x) 1))) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (E) (/ c (* (- (pow (E) x) 1) y)))
84.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c 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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) (log (neg (- (pow (E) x) 1))) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (E) (/ c (* (- (pow (E) x) 1) y)))
71.0ms	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) (* (+ (* 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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) (log (neg (- (pow (E) x) 1))) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (E) (/ c (* (- (pow (E) x) 1) y)))
68.0ms	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) (* (+ (* 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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) (log (neg (- (pow (E) x) 1))) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (E) (/ c (* (- (pow (E) x) 1) y)))

simplify197.0ms (0.6%)

Memory

21.7MiB live, 119.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	3702
1	3225	3503
0	9737	3115

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

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

rewrite271.0ms (0.8%)

Memory

-17.2MiB live, 169.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	324
0	87	321
1	308	321
2	2361	318
0	8208	292

Stop Event

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

Counts

23 → 409

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

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 #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 (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 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 #s(literal 1 binary64) (expm1.f64 x)) y)
(.f64 (.f64 #s(literal 1 binary64) y) (expm1.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y))
(.f64 (.f64 (expm1.f64 x) 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 (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 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 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (*.f64 y y) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)))) (neg.f64 (-.f64 (*.f64 y y) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) #s(literal -1/2 binary64)) (-.f64 (*.f64 y y) (neg.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (+.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y))) (-.f64 (*.f64 y y) (neg.f64 y)))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 y y) #s(literal -1/2 binary64) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y y) (.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 y) #s(literal -1/2 binary64)) (.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 y)) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x)
(.f64 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 (neg.f64 y)))) x y))
(/.f64 (neg.f64 (.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 (neg.f64 y)))) x) #s(literal 2 binary64)) (.f64 y y)) x)) (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 (neg.f64 y)))) x) y)))
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(-.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 (neg.f64 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 (neg.f64 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 (neg.f64 y)))) x) y)))
(-.f64 y (.f64 (neg.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 (neg.f64 y))))) x))
(-.f64 y (.f64 (neg.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 (neg.f64 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 (neg.f64 y)))) x) #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 (neg.f64 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 (neg.f64 y)))) x) #s(literal 2 binary64)))) (/.f64 (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 (neg.f64 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 (neg.f64 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 (neg.f64 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 (neg.f64 y)))) x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))))
(.f64 (sqrt.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (neg.f64 (E.f64))) (sqrt.f64 (neg.f64 (E.f64))))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))) (exp.f64 #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))) (exp.f64 #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))) (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (E.f64)) (log.f64 (exp.f64 (sqrt.f64 (E.f64)))))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (cbrt.f64 (E.f64)) (sqrt.f64 (exp.f64 #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (E.f64) #s(literal 1 binary64))
(cbrt.f64 (exp.f64 #s(literal 3 binary64)))
(sqrt.f64 (exp.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (E.f64)))
(fabs.f64 (E.f64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 #s(literal 1 binary64))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64)))
(log.f64 (exp.f64 (E.f64)))
(E.f64)
(/.f64 (neg.f64 (/.f64 c y)) (neg.f64 (expm1.f64 (*.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 c (expm1.f64 (*.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 y)))))
(/.f64 (/.f64 c y) (expm1.f64 (*.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 c (expm1.f64 (*.f64 #s(literal 1 binary64) x)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 y))))
(/.f64 (/.f64 c (expm1.f64 (*.f64 #s(literal 1 binary64) x))) y)
(/.f64 (neg.f64 c) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 y)))
(/.f64 c (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) y))
(neg.f64 (/.f64 (neg.f64 c) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) y)))
(neg.f64 (/.f64 c (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 y))))

eval154.0ms (0.4%)

Memory: 26.1MiB live, 160.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 35 442 to 3 718 computations (89.5% saved)

prune102.0ms (0.3%)

Memory

-19.6MiB live, 128.4MiB allocated; 38ms collecting garbage

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	668	26	694
Fresh	7	8	15
Picked	3	2	5
Done	0	0	0
Total	678	36	714

Accuracy

100.0%

Counts

714 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.f64 (-.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)))) c)
✓	94.8%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	69.0%	(.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)
	68.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	52.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	59.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	57.5%	(.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)))))))
▶	86.7%	(.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))))))
	43.0%	(.f64 c (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (.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)))))))
	42.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
▶	31.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	47.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x))))
	53.7%	(.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 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.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))) y)) x y) x)))
	57.8%	(.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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
	57.2%	(.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) (.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)))
▶	29.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 (neg.f64 (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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))))))
	15.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
	76.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	9.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (fma.f64 (/.f64 c (expm1.f64 (.f64 #s(literal 1 binary64) x))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (.f64 y (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) c))) (.f64 y (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))
	13.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (fma.f64 (/.f64 c y) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) c))) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))))))
	12.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))) c))))
	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c y)) (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
	53.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
	57.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
▶	61.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
	57.9%	#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))
	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))
✓	63.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
▶	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) c (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 #s(literal 1/24 binary64) x) c)) x)) x c) x)) y))
	5.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (/.f64 c (*.f64 x y))))
	60.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) c (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x y)) c)) x (.f64 (.f64 #s(literal 1/2 binary64) y) c)) x (.f64 c y)) x)))
	60.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) c) (.f64 c y)) x)))

Compiler

Compiled 2 503 to 1 595 computations (36.3% saved)

simplify133.0ms (0.4%)

Memory

-5.1MiB live, 232.5MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 (neg.f64 (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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))))))
cost-diff	1	(/.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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))
cost-diff	1	(neg.f64 (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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))))
cost-diff	2	(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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
cost-diff	0	(.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/6 binary64) c) x (.f64 #s(literal 1/2 binary64) c))
cost-diff	0	#s(approx (- (pow (E) x) 1) x)
cost-diff	0	(*.f64 #s(approx (- (pow (E) x) 1) x) c)
cost-diff	0	(.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
cost-diff	0	(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	80	757
0	125	757
1	249	752
2	749	730
3	3520	725
0	8259	688

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

localize520.0ms (1.5%)

Memory

22.0MiB live, 729.7MiB allocated; 169ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.3000027922220663	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 (neg.f64 (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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))))))
accuracy	5.632766400039882	(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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x))
accuracy	24.56663680288696	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 (neg.f64 (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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))))
accuracy	33.332889108636046	(.f64 (neg.f64 (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 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
accuracy	3.3000027922220663	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	12.70416075365172	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	37.62213094914528	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	0.36328125	(*.f64 #s(literal 1/6 binary64) c)
accuracy	3.317912151355297	(.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
accuracy	12.556817989556432	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
accuracy	17.18650227515736	#s(approx (* (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
accuracy	0.0078125	(*.f64 #s(approx (- (pow (E) x) 1) x) c)
accuracy	3.317912151355297	(.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)
accuracy	12.556817989556432	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
accuracy	17.877945050047984	#s(approx (- (pow (E) x) 1) x)
accuracy	0.19701010745286218	(-.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	2.9094982307228534	(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
accuracy	3.3000027922220663	(.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	5.088662427023346	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

377.0ms	180×	1	valid
45.0ms	75×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 570 to 73 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-pow: 139.0ms (38% of total)

adjust: 69.0ms (18.9% of total)

ival-mult: 64.0ms (17.5% of total)

ival-add: 30.0ms (8.2% of total)

const: 11.0ms (3% of total)

ival-e: 11.0ms (3% of total)

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

ival-log1p: 10.0ms (2.7% of total)

ival-sub: 8.0ms (2.2% of total)

ival-div: 8.0ms (2.2% of total)

ival-neg: 4.0ms (1.1% of total)

exact: 1.0ms (0.3% of total)

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

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

series621.0ms (1.7%)

Memory

52.7MiB live, 543.4MiB allocated; 139ms collecting garbage

Counts

23 → 190

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

Calls

9 calls:

Time	Variable		Point	Expression
165.0ms	x	@	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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* 1/6 c) (* (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (pow y 3)) (log (+ 1 (* (- (pow (E) x) 1) y))))
109.0ms	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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* 1/6 c) (* (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (pow y 3)) (log (+ 1 (* (- (pow (E) x) 1) y))))
98.0ms	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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* 1/6 c) (* (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (pow y 3)) (log (+ 1 (* (- (pow (E) x) 1) y))))
78.0ms	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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* 1/6 c) (* (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (pow y 3)) (log (+ 1 (* (- (pow (E) x) 1) y))))
68.0ms	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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* 1/6 c) (* (neg (+ (* -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (pow y 3)) (log (+ 1 (* (- (pow (E) x) 1) y))))

simplify187.0ms (0.5%)

Memory

9.7MiB live, 234.4MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	960	5257
1	3540	4926
0	8551	4393

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 190

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

rewrite185.0ms (0.5%)

Memory

23.2MiB live, 251.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	518
0	125	518
1	509	514
2	4035	514
0	8374	475

Stop Event

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

Counts

23 → 220

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

Outputs
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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 #s(literal 1/6 binary64) c)
(*.f64 c #s(literal 1/6 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)) (.f64 y y)) y)
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)) y) (.f64 y y))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))) (.f64 y y)) y)
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))) y) (.f64 y y))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y))))
(.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))))
(.f64 (.f64 y y) (.f64 y (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))) (pow.f64 y #s(literal 3 binary64)))
(.f64 y (.f64 (.f64 y y) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))))
(neg.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y) (pow.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) y)))))

eval78.0ms (0.2%)

Memory: -2.0MiB live, 145.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 24 713 to 2 697 computations (89.1% saved)

prune91.0ms (0.3%)

Memory

-36.5MiB live, 125.9MiB allocated; 44ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	399	9	408
Fresh	4	25	29
Picked	2	3	5
Done	0	2	2
Total	405	39	444

Accuracy

100.0%

Counts

444 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.f64 (-.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)))) c)
✓	94.8%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	69.0%	(.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)
	68.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	52.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
▶	59.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	57.5%	(.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)))))))
✓	86.7%	(.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))))))
	64.0%	(.f64 c (-.f64 #s(approx (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	43.0%	(.f64 c (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (.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)))))))
	42.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	31.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	12.7%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (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)))) (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)))))))
▶	75.3%	(.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)))
	47.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x))))
	53.7%	(.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 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.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))) y)) x y) x)))
	57.8%	(.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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
	57.2%	(.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) (.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)))
	24.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (.f64 #s(approx (neg (+ ( -1/3 (pow x 3)) (/ (+ (* (neg x) (/ (- (* (- (* -1/6 x) 1/2) x) 1) y)) (* (* (- (* -1/2 x) 1/2) x) x)) (neg y)))) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))))))
▶	15.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
	9.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (fma.f64 (/.f64 c (expm1.f64 (.f64 #s(literal 1 binary64) x))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (.f64 y (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) c))) (.f64 y (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))
	13.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (fma.f64 (/.f64 c y) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) c))) (.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x))))))))
	12.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))) c))))
	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c y)) (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
	53.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
	57.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
✓	61.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
▶	57.9%	#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))
▶	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))
✓	63.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) c) x (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (.f64 (.f64 #s(literal 1/6 binary64) c) x)) x c) x)) y))
	5.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (+ (* (- (log (neg (- (pow (E) x) 1))) (log (/ -1 y))) c) (/ c (* (- (pow (E) x) 1) y))) (/.f64 c (*.f64 x y))))
	60.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x y) c) #s(literal 1/24 binary64) (.f64 (.f64 y c) #s(literal 1/6 binary64))) x (.f64 (.f64 y c) #s(literal 1/2 binary64))) x (.f64 y c)) x)))
	60.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 x y) (.f64 y c)) x)))

Compiler

Compiled 2 776 to 1 751 computations (36.9% saved)

simplify139.0ms (0.4%)

Memory

20.4MiB live, 191.9MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	303
0	80	289
1	161	289
2	399	289
3	1581	289
4	6138	289
0	8622	265

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (0.6%)

Memory

0.1MiB live, 230.3MiB allocated; 47ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(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)))
accuracy	0.1168937988422101	(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy	0.49651834780678306	(/.f64 c (*.f64 (expm1.f64 x) y))
accuracy	13.729987226151552	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
accuracy	0.0	(*.f64 (expm1.f64 x) y)
accuracy	0.0	(expm1.f64 x)
accuracy	0.7903982928018578	(.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	9.126989942313994	#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	0.9543935999020637	(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy	1.4253655021438694	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	1.7029588676400182	(.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x)
accuracy	13.820299273541192	#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 y)
accuracy	0.7903982928018578	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
accuracy	13.799991191111053	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
accuracy	0.0	(*.f64 #s(literal 1 binary64) x)
accuracy	0.0	(expm1.f64 (*.f64 #s(literal 1 binary64) x))
accuracy	0.9795762381712411	(.f64 (.f64 c y) (expm1.f64 (*.f64 #s(literal 1 binary64) x)))
accuracy	9.032159018837751	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))

Samples

72.0ms	40×	2	valid
55.0ms	160×	0	invalid
50.0ms	49×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 291 to 47 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 33.0ms (21.8% of total)

ival-e: 30.0ms (19.8% of total)

ival-pow: 23.0ms (15.2% of total)

adjust: 16.0ms (10.6% of total)

ival-log: 13.0ms (8.6% of total)

ival-log1p: 11.0ms (7.3% of total)

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

ival-expm1: 7.0ms (4.6% of total)

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series496.0ms (1.4%)

Memory

10.7MiB live, 668.5MiB allocated; 166ms collecting garbage

Counts

21 → 149

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
103.0ms	x	@	inf	((* 1 x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp (* 1 x)) 1)) (* c y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (- (log (+ 1 (pow (* 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 (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (- (exp (* 1 x)) 1) (/ c (* (- (exp x) 1) y)))
97.0ms	c	@	-inf	((* 1 x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp (* 1 x)) 1)) (* c y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (- (log (+ 1 (pow (* 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 (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (- (exp (* 1 x)) 1) (/ c (* (- (exp x) 1) y)))
96.0ms	c	@	0	((* 1 x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp (* 1 x)) 1)) (* c y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (- (log (+ 1 (pow (* 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 (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (- (exp (* 1 x)) 1) (/ c (* (- (exp x) 1) y)))
65.0ms	x	@	-inf	((* 1 x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp (* 1 x)) 1)) (* c y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (- (log (+ 1 (pow (* 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 (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (- (exp (* 1 x)) 1) (/ c (* (- (exp x) 1) y)))
63.0ms	c	@	inf	((* 1 x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) (- (exp (* 1 x)) 1)) (* c y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (* c (- (log (+ 1 (pow (* 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 (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (- (exp (* 1 x)) 1) (/ c (* (- (exp x) 1) y)))

simplify163.0ms (0.5%)

Memory

51.1MiB live, 180.6MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	3998
1	2776	3768
0	9281	3201

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 147

Calls

Call 1

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

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

rewrite331.0ms (0.9%)

Memory

-50.0MiB live, 268.1MiB allocated; 205ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	258
0	80	239
1	347	207
2	2218	204
0	9489	190

Stop Event

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

Counts

21 → 313

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
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(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) (/.f64 (/.f64 c y) (expm1.f64 x)))) (/.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) (/.f64 (/.f64 c y) (expm1.f64 x)))))
(-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64))))) c))
(-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (log.f64 (pow.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64))) (neg.f64 c))))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) (.f64 c (/.f64 (/.f64 c y) (expm1.f64 x))))))) (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) (*.f64 c (/.f64 (/.f64 c y) (expm1.f64 x))))))))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) (.f64 c (/.f64 (/.f64 c y) (expm1.f64 x))))))) (/.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) (*.f64 c (/.f64 (/.f64 c y) (expm1.f64 x))))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c)) (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c)) (pow.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c)) (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c)) (pow.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) (/.f64 (/.f64 c y) (expm1.f64 x)))) (/.f64 (.f64 (neg.f64 (/.f64 (/.f64 c y) (expm1.f64 x))) (/.f64 (/.f64 c y) (expm1.f64 x))) (-.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) (/.f64 (/.f64 c y) (expm1.f64 x)))))
(+.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) (/.f64 (/.f64 c y) (expm1.f64 x)))
(+.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (*.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (log.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))) (.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (log.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (log.f64 (neg.f64 y)))
(+.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (log.f64 y))
(+.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))) (/.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x))))))
(log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (log.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(log.f64 (neg.f64 (expm1.f64 x)))
(*.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 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.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 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 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 #s(literal 2 binary64)) x) (+.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 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 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 #s(literal 2 binary64) x)) (+.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 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 c y)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 c (expm1.f64 x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
(/.f64 (/.f64 c y) (expm1.f64 x))
(/.f64 (neg.f64 (/.f64 c (expm1.f64 x))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
(/.f64 (/.f64 c (expm1.f64 x)) y)
(/.f64 (neg.f64 c) (*.f64 (neg.f64 y) (expm1.f64 x)))
(/.f64 c (*.f64 (expm1.f64 x) y))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 (expm1.f64 x) y)))
(neg.f64 (/.f64 c (*.f64 (neg.f64 y) (expm1.f64 x))))

eval103.0ms (0.3%)

Memory: 8.1MiB live, 93.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 23 756 to 2 386 computations (90% saved)

prune62.0ms (0.2%)

Memory

31.0MiB live, 126.3MiB allocated; 24ms collecting garbage

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	494	16	510
Fresh	10	19	29
Picked	3	2	5
Done	0	5	5
Total	507	42	549

Accuracy

100.0%

Counts

549 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.f64 (-.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)))) c)
✓	94.8%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.8%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	69.0%	(.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)
	68.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	52.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
✓	59.8%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	57.5%	(.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)))))))
✓	86.7%	(.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))))))
	64.0%	(.f64 c (-.f64 #s(approx (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	43.0%	(.f64 c (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (.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)))))))
	42.9%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	31.5%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	75.3%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
	12.7%	(.f64 c #s(approx (- (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (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)))) (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)))))))
	56.4%	(.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)))
	57.8%	(.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 (.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x))))
	57.4%	(.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 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x))))
	47.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (fma.f64 y x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x))))
	53.7%	(.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 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.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))) y)) x y) x)))
	57.2%	(.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) (.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)))
	20.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c (/.f64 c (*.f64 (expm1.f64 x) y))))
	9.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (fma.f64 (/.f64 c (expm1.f64 x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))) (.f64 y (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) c))) (.f64 y (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64))))))
	13.0%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (fma.f64 (/.f64 c y) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))) (.f64 (expm1.f64 x) (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) c))) (.f64 (expm1.f64 x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (expm1.f64 x)))))))
	12.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 c y) (expm1.f64 x)) (.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64)))) c))))
	5.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (- (log (neg (- (exp x) 1))) (log (/ -1 y))) c) (/ c (* (- (exp x) 1) y))) (/.f64 c (*.f64 y x))))
	53.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	46.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y))
	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (/.f64 (.f64 y c) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
✓	61.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y))
	77.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x)))
✓	57.9%	#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))
	29.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) x))
✓	63.0%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
	57.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) c) x (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	58.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
	58.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (.f64 (.f64 #s(literal 1/6 binary64) c) x)) x c) x)) y))
	49.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (fma.f64 (.f64 (-.f64 y (.f64 y y)) c) #s(literal 1/2 binary64) (.f64 c (/.f64 y x))) x)) x))
	60.3%	#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 #s(literal -1/2 binary64) (.f64 y x)) c (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
	48.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx ( c (+ (* (* 1/2 x) (- y (* y y))) y)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) c (.f64 c (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y)) x))
	29.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) y) x) c) #s(literal -1/2 binary64))))

Compiler

Compiled 4 188 to 1 535 computations (63.3% saved)

regimes177.0ms (0.5%)

Memory

0.3MiB live, 273.8MiB allocated; 38ms collecting garbage

Counts

72 → 3

Calls

Call 1

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

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

Calls

9 calls:

35.0ms	y
21.0ms	c
21.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
18.0ms	x
17.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Results

Accuracy	Segments	Branch
94.8%	1	`(pow.f64 (E.f64) x)`
94.8%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
94.8%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
94.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
94.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
94.8%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
94.8%	1	`c`
94.8%	1	`x`
99.8%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes134.0ms (0.4%)

Memory

15.4MiB live, 207.4MiB allocated; 18ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

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

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

Calls

9 calls:

29.0ms	y
28.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
12.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
12.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
12.0ms	c

Results

Accuracy	Segments	Branch
86.3%	2	`(pow.f64 (E.f64) x)`
86.3%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
85.7%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
77.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
77.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
77.2%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
86.3%	2	`x`
80.2%	2	`c`
91.7%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes93.0ms (0.3%)

Memory

-51.1MiB live, 13.5MiB allocated; 29ms collecting garbage

Counts

44 → 3

Calls

Call 1

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

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

Calls

1 calls:

91.0ms

Results

Accuracy	Segments	Branch
91.2%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes50.0ms (0.1%)

Memory

-0.7MiB live, 45.1MiB allocated; 3ms collecting garbage

Counts

41 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
77.2%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
77.2%	1	`(pow.f64 (E.f64) x)`
77.2%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
77.2%	1	`x`
85.3%	4	`y`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes21.0ms (0.1%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Counts

38 → 2

Calls

Call 1

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

Calls

2 calls:

10.0ms	y
9.0ms	c

Results

Accuracy	Segments	Branch
80.2%	2	`c`
79.2%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes23.0ms (0.1%)

Memory

-9.9MiB live, 34.6MiB allocated; 4ms collecting garbage

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	c
9.0ms	y

Results

Accuracy	Segments	Branch
79.1%	2	`y`
77.2%	1	`c`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes73.0ms (0.2%)

Memory

15.8MiB live, 113.1MiB allocated; 10ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`(pow.f64 (E.f64) x)`
63.0%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
63.0%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
63.0%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
63.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
63.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
66.1%	2	`c`
63.0%	1	`x`
64.9%	2	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes8.0ms (0%)

Memory

-34.5MiB live, 10.3MiB allocated; 5ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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
63.0%	1	`y`
63.0%	1	`c`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch114.0ms (0.3%)

Memory

30.9MiB live, 122.0MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	2.4666472209349807e-85	4.418886730161896e-84
48.0ms	-2420651804.2686067	-163616.40869753528

Samples

93.0ms	163×	1	valid
6.0ms	77×	0	valid

Compiler

Compiled 405 to 376 computations (7.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-pow: 43.0ms (47.7% of total)

ival-e: 33.0ms (36.6% of total)

ival-mult: 5.0ms (5.5% of total)

adjust: 4.0ms (4.4% of total)

ival-log1p: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch138.0ms (0.4%)

Memory

2.6MiB live, 137.6MiB allocated; 30ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
91.0ms	1.6596357987071458e+35	3.390288790167717e+48
41.0ms	-3.9762046202252356e+34	-4.996057101817706e+33

Samples

98.0ms	229×	1	valid
7.0ms	80×	0	invalid
2.0ms	27×	0	valid
1.0ms	4×	1	invalid

Compiler

Compiled 623 to 544 computations (12.7% saved)

Precisions

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

ival-pow: 61.0ms (64.3% of total)

ival-e: 13.0ms (13.7% of total)

adjust: 7.0ms (7.4% of total)

ival-mult: 6.0ms (6.3% of total)

ival-log1p: 5.0ms (5.3% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6596357987071458e+35	3.390288790167717e+48
1.0ms	-3.9762046202252356e+34	-4.996057101817706e+33

Compiler

Compiled 575 to 512 computations (11% saved)

bsearch437.0ms (1.2%)

Memory

9.7MiB live, 486.7MiB allocated; 125ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
197.0ms	1.7033606651648114e+218	9.934383356688677e+223
129.0ms	3.8474745362576273e+55	5.771388431344835e+58
99.0ms	-3.660504762605451e+162	-5.264820904347879e+156

Samples

218.0ms	363×	1	valid
115.0ms	116×	1	invalid
14.0ms	159×	0	invalid
5.0ms	53×	0	valid

Compiler

Compiled 1 664 to 1 272 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-pow: 218.0ms (69% of total)

ival-e: 35.0ms (11.1% of total)

ival-mult: 24.0ms (7.6% of total)

adjust: 21.0ms (6.6% of total)

ival-log1p: 10.0ms (3.2% of total)

ival-sub: 7.0ms (2.2% of total)

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

exact: 1.0ms (0.3% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.847911361480727e+132	7.043046800054099e+132

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch92.0ms (0.3%)

Memory

-36.6MiB live, 158.0MiB allocated; 35ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
88.0ms	1.6596357987071458e+35	3.390288790167717e+48

Samples

72.0ms	128×	1	valid
6.0ms	72×	0	invalid
2.0ms	6×	1	invalid

Compiler

Compiled 365 to 316 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-pow: 48.0ms (66.9% of total)

ival-e: 11.0ms (15.3% of total)

adjust: 4.0ms (5.6% of total)

ival-mult: 4.0ms (5.6% of total)

ival-sub: 2.0ms (2.8% of total)

ival-log1p: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

40.6MiB live, 40.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.8421998686844867e+32	4.581337890467098e+32

Samples

19.0ms	48×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 263 to 192 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 11.0ms (62.3% of total)

ival-e: 3.0ms (17% of total)

ival-sub: 1.0ms (5.7% of total)

adjust: 1.0ms (5.7% of total)

ival-mult: 1.0ms (5.7% of total)

ival-log1p: 1.0ms (5.7% 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

-46.2MiB live, 1.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.847911361480727e+132	7.043046800054099e+132

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify55.0ms (0.2%)

Memory

24.8MiB live, 71.7MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	461
1	197	461
2	468	459
3	1867	458
4	6325	458

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -170000 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -4999999999999999727876154935214080 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 760000000000000027923441438910795382521856 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4999999999999999727876154935214080 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 760000000000000027923441438910795382521856 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -25000000000000000943647331205703721766540912820507244233271647030044067159384692762618778479913572619617381941340932252941108074473014549752455291448167030063104 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 39000000000000002713087708858315046386534444263790346240 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (if (<=.f64 y #s(literal 172000000000000002459785249118881070871856576089721377467836018743407689071978935883559445468568359972825699840532367898684432051084649983019815787581933926375788521212905355760612274177102202849462693494122804414513152 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (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 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))))))
(if (<=.f64 c #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal 3000000000000000106184517130664004033968078848 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 c #s(literal 409999999999999980568148466204672 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 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
(if (<=.f64 y #s(literal -170000 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -170000 binary64)) (not (<=.f64 y #s(literal 2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))))
(if (<=.f64 y #s(literal -4999999999999999727876154935214080 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 760000000000000027923441438910795382521856 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -4999999999999999727876154935214080 binary64)) (not (<=.f64 y #s(literal 760000000000000027923441438910795382521856 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) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))))
(if (<=.f64 y #s(literal -4999999999999999727876154935214080 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 760000000000000027923441438910795382521856 binary64)) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -4999999999999999727876154935214080 binary64)) (not (<=.f64 y #s(literal 760000000000000027923441438910795382521856 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 ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))))
(if (<=.f64 y #s(literal -25000000000000000943647331205703721766540912820507244233271647030044067159384692762618778479913572619617381941340932252941108074473014549752455291448167030063104 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 39000000000000002713087708858315046386534444263790346240 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (if (<=.f64 y #s(literal 172000000000000002459785249118881070871856576089721377467836018743407689071978935883559445468568359972825699840532367898684432051084649983019815787581933926375788521212905355760612274177102202849462693494122804414513152 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (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 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))))))
(if (<=.f64 c #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal 3000000000000000106184517130664004033968078848 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x))) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 c #s(literal 409999999999999980568148466204672 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 #s(approx ( (- (pow (E) x) 1) c) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

derivations2.0s (5.5%)

Memory

-166.7MiB live, 990.5MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	3702
1	3225	3503
0	9737	3115
0	55	258
0	80	239
1	347	207
2	2218	204
0	9489	190
0	11	43
0	18	43
1	72	43
2	472	38
3	4703	38
0	8213	23
0	960	5257
1	3540	4926
0	8551	4393
0	50	324
0	87	321
1	308	321
2	2361	318
0	8208	292
0	280	1255
1	1125	1082
2	4567	1052
0	8634	983

Stop Event

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

Compiler

Compiled 461 to 131 computations (71.6% saved)

preprocess105.0ms (0.3%)

Memory: 8.1MiB live, 152.7MiB allocated; 29ms collecting garbage
Remove: (negabs c)
Compiler: Compiled 1 030 to 348 computations (66.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze777.0ms (2.2%)

sample24.7s (69.3%)

explain351.0ms (1%)

preprocess187.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify165.0ms (0.5%)

localize121.0ms (0.3%)

series274.0ms (0.8%)

simplify178.0ms (0.5%)

rewrite177.0ms (0.5%)

eval37.0ms (0.1%)

prune37.0ms (0.1%)

simplify176.0ms (0.5%)

localize230.0ms (0.6%)

series684.0ms (1.9%)

simplify197.0ms (0.6%)

rewrite271.0ms (0.8%)

eval154.0ms (0.4%)

prune102.0ms (0.3%)

simplify133.0ms (0.4%)

localize520.0ms (1.5%)

series621.0ms (1.7%)

simplify187.0ms (0.5%)

rewrite185.0ms (0.5%)

eval78.0ms (0.2%)

prune91.0ms (0.3%)

simplify139.0ms (0.4%)

localize212.0ms (0.6%)

series496.0ms (1.4%)

simplify163.0ms (0.5%)

rewrite331.0ms (0.9%)

eval103.0ms (0.3%)

prune62.0ms (0.2%)

regimes177.0ms (0.5%)

regimes134.0ms (0.4%)

regimes93.0ms (0.3%)

regimes50.0ms (0.1%)

regimes21.0ms (0.1%)

regimes23.0ms (0.1%)

regimes73.0ms (0.2%)

regimes8.0ms (0%)

regimes2.0ms (0%)

bsearch114.0ms (0.3%)

bsearch138.0ms (0.4%)

bsearch3.0ms (0%)

bsearch437.0ms (1.2%)

bsearch1.0ms (0%)

bsearch92.0ms (0.3%)

bsearch25.0ms (0.1%)

bsearch2.0ms (0%)

simplify55.0ms (0.2%)

derivations2.0s (5.5%)

preprocess105.0ms (0.3%)

end0.0ms (0%)

Profiling