Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze204.0ms (0.6%)

Memory

-27.1MiB live, 447.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample23.6s (75.2%)

Memory

181.8MiB live, 25 510.9MiB allocated

Samples

18.9s	1 590×	5	exit
2.8s	4 790×	1	valid
754.0ms	715×	1	invalid
344.0ms	3 466×	0	valid
87.0ms	650×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 22.1s

ival-pow: 17.5s (79.2% of total)

ival-e: 3.1s (14.2% of total)

ival-log1p: 461.0ms (2.1% of total)

adjust: 453.0ms (2.1% of total)

ival-mult: 353.0ms (1.6% of total)

ival-sub: 159.0ms (0.7% of total)

exact: 17.0ms (0.1% of total)

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

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

Bogosity

explain342.0ms (1.1%)

Memory

15.8MiB live, 496.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
182	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
145	50	(-9.394421590572011e-236 -4.4606735341590666e-218 -4.442528346786179e-181)	1	(-1.076263294582779e-178 -2.195004249757583e-183 -1.14034961940108e+181)	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
15	0	-	3	(-4.371113432905318e+257 -5.701395093005143e-143 -4.0191471972001678e-174)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
1	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	194	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**	12	0
`pow.f64`	`(pow.f64 (E.f64) x)`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	157	0
-	71	28

Precision

0.6885964912280702

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	157	0	0
-	71	0	28

Precision?

0.6885964912280702

Recall?

1.0

Freqs

test

number	freq
0	28
1	210
2	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

217.0ms	358×	1	valid
16.0ms	154×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-pow: 129.0ms (63.1% of total)

ival-e: 33.0ms (16.1% of total)

adjust: 14.0ms (6.9% of total)

ival-mult: 12.0ms (5.9% of total)

ival-log1p: 7.0ms (3.4% of total)

ival-sub: 5.0ms (2.4% of total)

ival-add: 4.0ms (2% of total)

ival-true: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

preprocess176.0ms (0.6%)

Memory

24.5MiB live, 205.1MiB allocated

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify161.0ms (0.5%)

Memory

-6.9MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	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

localize162.0ms (0.5%)

Memory

4.4MiB live, 147.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02845860241743066	(pow.f64 (E.f64) x)
accuracy	2.9972680675732835	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	33.35063149972084	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	41.785091028216506	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

117.0ms	179×	1	valid
35.0ms	77×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-pow: 68.0ms (61.6% of total)

adjust: 18.0ms (16.3% of total)

ival-e: 11.0ms (10% of total)

ival-mult: 5.0ms (4.5% of total)

ival-log1p: 4.0ms (3.6% of total)

ival-sub: 2.0ms (1.8% of total)

ival-add: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series284.0ms (0.9%)

Memory

7.3MiB live, 237.9MiB allocated

Counts

6 → 53

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))
(pow.f64 (E.f64) x)

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))))))))
(+ 1 (* x (log (E))))
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(pow (E) x)
(* 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
129.0ms	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) (pow (E) x))
53.0ms	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) (pow (E) x))
46.0ms	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) (pow (E) x))
13.0ms	c	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
13.0ms	c	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify191.0ms (0.6%)

Memory

-5.2MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1289
1	1139	1110
2	4646	1080
0	8124	1006

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

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

rewrite210.0ms (0.7%)

Memory

-10.0MiB live, 121.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
0	18	46
1	72	46
2	472	40
3	4703	40
0	8213	25

Stop Event

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

Counts

6 → 274

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))
(pow.f64 (E.f64) x)

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

eval85.0ms (0.3%)

Memory: 4.1MiB live, 65.7MiB allocated
Compiler: Compiled 8 165 to 1 825 computations (77.6% saved)

prune28.0ms (0.1%)

Memory

-11.8MiB live, 33.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	313	13	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	13	327

Accuracy

99.9%

Counts

327 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	22.4%	(.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))))))))
	84.0%	(.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))))))
▶	41.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
	43.8%	(.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))))
	49.4%	(.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)))
▶	50.9%	(.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)))
	56.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	46.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
	54.3%	#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))
▶	59.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 652 to 448 computations (31.3% saved)

simplify169.0ms (0.5%)

Memory

12.7MiB live, 151.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	258
0	59	258
1	101	258
2	214	258
3	548	258
4	1545	258
5	4887	225
0	8656	215

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (0.8%)

Memory

30.2MiB live, 359.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
accuracy	2.9972680675732835	(.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)))))
accuracy	15.285950280038309	#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)))
accuracy	33.35063149972084	(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))))
accuracy	2.9972680675732835	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	14.673888841133678	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	33.35063149972084	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	1.9583135250473371	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
accuracy	2.9972680675732835	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
accuracy	4.790419159369325	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	26.605606614605858	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))
accuracy	0.0	(*.f64 c y)
accuracy	3.958489185358711	(.f64 (.f64 c y) x)
accuracy	24.763563495172438	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0078125	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0.01171875	(*.f64 y (expm1.f64 x))
accuracy	2.9972680675732835	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

175.0ms	178×	1	valid
19.0ms	78×	0	valid

Compiler

Compiled 209 to 31 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 66.0ms (39.5% of total)

ival-pow: 51.0ms (30.6% of total)

adjust: 16.0ms (9.6% of total)

ival-e: 10.0ms (6% of total)

ival-log1p: 7.0ms (4.2% of total)

ival-add: 7.0ms (4.2% of total)

ival-expm1: 5.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series315.0ms (1%)

Memory

-34.3MiB live, 413.8MiB allocated

Counts

18 → 112

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
100.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1))
62.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1))
57.0ms	y	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1))
29.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1))
25.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1))

simplify127.0ms (0.4%)

Memory

7.8MiB live, 240.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	2418
1	2059	2293
0	8648	2015

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

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

rewrite164.0ms (0.5%)

Memory

-1.8MiB live, 272.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	59	221
1	212	221
2	1502	221
0	8284	200

Stop Event

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

Counts

18 → 170

Calls

Call 1

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

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

eval72.0ms (0.2%)

Memory: 2.4MiB live, 115.0MiB allocated
Compiler: Compiled 10 335 to 1 414 computations (86.3% saved)

prune20.0ms (0.1%)

Memory

-2.4MiB live, 44.5MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	265	10	275
Fresh	3	5	8
Picked	2	3	5
Done	0	0	0
Total	270	18	288

Accuracy

99.9%

Counts

288 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
✓	95.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.4%	(.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)
	56.7%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	84.0%	(.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))))))
	43.8%	(.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))))
	49.4%	(.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)))
	29.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y)) (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y) (.f64 y y))) (.f64 (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y) (-.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) x) y))) x)))
	55.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x)))
	47.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)))
▶	54.1%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y)) x)))
▶	30.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)))
▶	73.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
▶	57.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	54.3%	#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))
✓	59.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 949 to 632 computations (33.4% saved)

simplify157.0ms (0.5%)

Memory

17.9MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	449
0	87	449
1	164	449
2	376	449
3	1130	449
4	4509	449
0	8460	411

Stop Event

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

Calls

Call 1

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

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

localize372.0ms (1.2%)

Memory

14.1MiB live, 542.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(expm1.f64 x)
accuracy	0.01171875	(*.f64 (expm1.f64 x) c)
accuracy	3.3228463955512333	(.f64 (.f64 (expm1.f64 x) c) y)
accuracy	14.58231500283027	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
accuracy	1.9583135250473371	(.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y)) x)
accuracy	2.9972680675732835	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y)) x)))
accuracy	5.015600330067604	(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y)
accuracy	26.605606614605858	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y)) x))
accuracy	2.9972680675732835	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)))
accuracy	8.611175571060071	(.f64 (.f64 y y) x)
accuracy	26.605606614605858	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))
accuracy	47.33620230321606	#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
accuracy	0.0	(*.f64 x c)
accuracy	5.478092237788305	(.f64 (.f64 x c) y)
accuracy	24.763563495172438	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
accuracy	0.125	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	0.140625	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy	0.15234375	(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
accuracy	2.9972680675732835	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)

Samples

255.0ms	163×	1	valid
45.0ms	15×	2	valid
37.0ms	78×	0	valid

Compiler

Compiled 328 to 47 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-mult: 97.0ms (32.6% of total)

ival-pow: 67.0ms (22.5% of total)

ival-add: 42.0ms (14.1% of total)

adjust: 32.0ms (10.8% of total)

ival-expm1: 24.0ms (8.1% of total)

ival-e: 11.0ms (3.7% of total)

ival-log1p: 10.0ms (3.4% of total)

ival-div: 5.0ms (1.7% of total)

ival-exp: 5.0ms (1.7% of total)

ival-sub: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series361.0ms (1.2%)

Memory

-2.7MiB live, 585.9MiB allocated

Counts

22 → 146

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	c	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* -1/2 x) (/ (+ (* 1/2 x) 1) y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* (* y y) x))
76.0ms	x	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* -1/2 x) (/ (+ (* 1/2 x) 1) y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* (* y y) x))
65.0ms	x	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* -1/2 x) (/ (+ (* 1/2 x) 1) y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* (* y y) x))
55.0ms	c	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* -1/2 x) (/ (+ (* 1/2 x) 1) y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* (* y y) x))
38.0ms	c	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* -1/2 x) (/ (+ (* 1/2 x) 1) y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* (* y y) x))

simplify196.0ms (0.6%)

Memory

38.8MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	4135
1	2888	3862
0	8849	3385

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 144

Calls

Call 1

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

rewrite129.0ms (0.4%)

Memory

-0.8MiB live, 147.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	352
0	87	352
1	309	314
2	2359	289
0	8368	281

Stop Event

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

Counts

22 → 250

Calls

Call 1

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

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

eval57.0ms (0.2%)

Memory: -31.2MiB live, 101.3MiB allocated
Compiler: Compiled 13 711 to 2 116 computations (84.6% saved)

prune27.0ms (0.1%)

Memory

-2.0MiB live, 54.6MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	382	11	393
Fresh	5	5	10
Picked	2	3	5
Done	0	3	3
Total	389	22	411

Accuracy

99.9%

Counts

411 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
✓	95.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.4%	(.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)
▶	56.7%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
▶	84.0%	(.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))))))
▶	43.8%	(.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))))
	49.4%	(.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)))
	55.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 y x) x) #s(literal 1 binary64)) y)) x)))
	49.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.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))) x)))
✓	30.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)))
	29.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/2 binary64))) x)))
	29.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal -1/2 binary64)))))
✓	73.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	56.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
▶	57.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	56.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
▶	56.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	57.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 c x) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
✓	57.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	59.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 101 to 766 computations (30.4% saved)

simplify126.0ms (0.4%)

Memory

22.3MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x))
cost-diff	0	(.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
cost-diff	2	(fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c))
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)
cost-diff	0	(.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
cost-diff	0	(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.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	64	451
0	100	449
1	194	449
2	480	442
3	1872	433
4	7705	433
0	9485	409

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

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

localize442.0ms (1.4%)

Memory

16.7MiB live, 492.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x #s(literal 1 binary64))
accuracy	2.9972680675732835	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
accuracy	11.966147012678622	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	33.35063149972084	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) c)
accuracy	3.3228463955512333	(.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
accuracy	14.58231500283027	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
accuracy	18.387505486776806	#s(approx (* (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 c x) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x))
accuracy	0.07421875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	3.3228463955512333	(.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)
accuracy	14.58231500283027	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
accuracy	17.891950329847365	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 y x)
accuracy	2.9972680675732835	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
accuracy	25.87733555644358	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
accuracy	0.21329887698974623	(-.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	2.9972680675732835	(.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	5.32690670740295	(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
accuracy	7.025677494741695	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

332.0ms	178×	1	valid
67.0ms	78×	0	valid

Compiler

Compiled 395 to 58 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

adjust: 70.0ms (19.5% of total)

ival-e: 69.0ms (19.2% of total)

ival-mult: 67.0ms (18.7% of total)

ival-pow: 54.0ms (15.1% of total)

ival-assert: 25.0ms (7% of total)

ival-add: 23.0ms (6.4% of total)

ival-log1p: 16.0ms (4.5% of total)

ival-expm1: 15.0ms (4.2% of total)

const: 9.0ms (2.5% of total)

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

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

ival-div: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

series558.0ms (1.8%)

Memory

31.8MiB live, 866.8MiB allocated

Counts

22 → 186

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

Outputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (exp x) 1)))
(* c (- (exp x) 1))
(* c (+ 1/6 (* 1/24 x)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* 1/6 c)
(* -1 (* c (- (* -1/24 x) 1/6)))
(* 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)))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
(* c x)
(* x (+ c (* 1/2 (* c x))))
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c)))))
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(+ (* 1/24 (* c x)) (* 1/6 c))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* 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))))))
(+ 1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 y) (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))))
(* 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))))))))))))
1/2
(+ 1/2 (* 1/6 x))
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))
(* (pow y 3) (pow (- (exp x) 1) 3))
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))
(- (exp x) 1)
(* 1/24 (* c x))
(* x (+ (* 1/24 c) (* 1/6 (/ c x))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* x (+ y (/ 1 x)))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* x (+ (* -1/6 (/ c x)) (* -1/24 c))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* y (+ (* -1/2 (* c (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* c (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* y (+ (* -1/24 (* c (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4))))))) (* c (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3))))))))))))
(* y (- (exp x) 1))
(* y (- (* -1/2 (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* -1 (- (exp x) 1))))
(* y (- (* y (- (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1))))
(* y (- (* y (- (* y (- (+ (* -1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (pow (- (exp x) 1) 3)) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1))))
(* (pow y 3) (+ (* -1/2 (* (pow y 3) (pow (- (exp x) 1) 6))) (pow (- (exp x) 1) 3)))
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* 1/3 (* (pow y 3) (pow (- (exp x) 1) 9))))) (pow (- (exp x) 1) 3)))
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* (pow y 3) (+ (* -1/4 (* (pow y 3) (pow (- (exp x) 1) 12))) (* 1/3 (pow (- (exp x) 1) 9)))))) (pow (- (exp x) 1) 3)))
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))
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Calls

9 calls:

Time	Variable		Point	Expression
206.0ms	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) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* 1/24 (* c x)) (* 1/6 c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* 1/6 x) 1/2) (* 1/6 c))
99.0ms	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) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* 1/24 (* c x)) (* 1/6 c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* 1/6 x) 1/2) (* 1/6 c))
84.0ms	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) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* 1/24 (* c x)) (* 1/6 c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* 1/6 x) 1/2) (* 1/6 c))
71.0ms	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) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* 1/24 (* c x)) (* 1/6 c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* 1/6 x) 1/2) (* 1/6 c))
63.0ms	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) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* 1/24 (* c x)) (* 1/6 c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (+ (* 1/6 x) 1/2) (* 1/6 c))

simplify181.0ms (0.6%)

Memory

-36.5MiB live, 254.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1037	6199
1	3833	6141
0	8059	5327

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 185

Calls

Call 1

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

rewrite169.0ms (0.5%)

Memory

27.1MiB live, 222.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	337
0	100	335
1	410	283
2	3261	274
0	8438	259

Stop Event

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

Counts

22 → 203

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

Outputs
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (.f64 (.f64 (neg.f64 y) (expm1.f64 x)) #s(literal -1 binary64)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
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(+.f64 (.f64 #s(literal 1/6 binary64) c) (.f64 (*.f64 x c) #s(literal 1/24 binary64)))
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#s(approx (* (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 c #s(literal 2 binary64)))) (log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 c #s(literal 2 binary64)))))
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(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
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(+.f64 (*.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 y) (expm1.f64 x)) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) #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 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))))
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(log.f64 (fma.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 c #s(literal 1/6 binary64))

eval72.0ms (0.2%)

Memory: 18.7MiB live, 110.6MiB allocated
Compiler: Compiled 16 425 to 2 354 computations (85.7% saved)

prune33.0ms (0.1%)

Memory

-18.6MiB live, 80.5MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	379	7	386
Fresh	2	9	11
Picked	2	3	5
Done	0	6	6
Total	383	25	408

Accuracy

99.9%

Counts

408 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
	74.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
✓	95.3%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.4%	(.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)
✓	56.7%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
✓	84.0%	(.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))))))
✓	43.8%	(.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))))
	14.9%	(.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)))))))
	49.4%	(.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)))
	55.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 y x) x) #s(literal 1 binary64)) y)) x)))
	49.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.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))) x)))
✓	30.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)))
	29.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/2 binary64))) x)))
	29.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal -1/2 binary64)))))
	31.4%	(log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) c))
✓	73.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	56.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	56.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
	58.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 y c) #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))))
	57.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 (.f64 x c) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	56.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx ( (- (exp x) 1) c) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* c x)) (* 1/6 c)) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) c)) x (.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
	52.5%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
✓	57.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	59.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 2 011 to 835 computations (58.5% saved)

regimes89.0ms (0.3%)

Memory

-15.7MiB live, 176.5MiB allocated

Counts

42 → 3

Calls

Call 1

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`(pow.f64 (E.f64) x)`
95.3%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
95.3%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
95.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
95.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
95.3%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
95.3%	1	`c`
95.3%	1	`x`
99.8%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes79.0ms (0.3%)

Memory

34.9MiB live, 81.7MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

21.0ms	x
8.0ms	c
8.0ms	y
7.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
6.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Results

Accuracy	Segments	Branch
84.4%	2	`(pow.f64 (E.f64) x)`
84.4%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
85.0%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
75.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
75.6%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
75.6%	2	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
84.4%	2	`x`
78.0%	2	`c`
88.5%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes53.0ms (0.2%)

Memory

-37.2MiB live, 57.9MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

19.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
8.0ms	y
7.0ms	x
6.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
6.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
75.6%	2	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
73.7%	1	`x`
73.7%	1	`(pow.f64 (E.f64) x)`
73.7%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
82.2%	3	`y`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes16.0ms (0%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
7.0ms	c

Results

Accuracy	Segments	Branch
73.7%	1	`c`
75.7%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes76.0ms (0.2%)

Memory

-12.0MiB live, 79.1MiB allocated

Counts

27 → 2

Calls

Call 1

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

Calls

9 calls:

19.0ms	y
16.0ms	c
7.0ms	x
6.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
5.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Results

Accuracy	Segments	Branch
59.7%	1	`(pow.f64 (E.f64) x)`
59.7%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
62.3%	2	`c`
61.4%	2	`x`
59.7%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.7%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.7%	2	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.3%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`(pow.f64 (E.f64) x)`
59.7%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.7%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.7%	1	`x`
59.7%	1	`y`
59.7%	1	`c`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

bsearch147.0ms (0.5%)

Memory

-24.6MiB live, 128.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
92.0ms	2.944169651235964e-153	3.200315908039196e-148
50.0ms	-173103199.05071905	-115228.13973897981

Samples

69.0ms	156×	1	valid
47.0ms	116×	0	valid

Compiler

Compiled 440 to 407 computations (7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-pow: 65.0ms (61.4% of total)

ival-e: 14.0ms (13.2% of total)

ival-sub: 14.0ms (13.2% of total)

ival-mult: 5.0ms (4.7% of total)

adjust: 4.0ms (3.8% of total)

ival-log1p: 3.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch117.0ms (0.4%)

Memory

15.9MiB live, 107.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	7315396.096998963	8743574.773475181
66.0ms	-1.1454943228739449e+23	-3.043064819804108e+20

Samples

98.0ms	135×	1	valid
4.0ms	41×	0	valid
3.0ms	30×	0	invalid

Compiler

Compiled 389 to 346 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-pow: 59.0ms (61% of total)

ival-mult: 21.0ms (21.7% of total)

ival-e: 7.0ms (7.2% of total)

adjust: 4.0ms (4.1% of total)

ival-log1p: 3.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch232.0ms (0.7%)

Memory

5.5MiB live, 105.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
137.0ms	8.260881208981361e+181	2.3511713591265797e+187
87.0ms	-1.3223808909397738e+144	-9.425034886972649e+139

Samples

164.0ms	230×	1	valid
30.0ms	78×	1	invalid
9.0ms	107×	0	invalid
4.0ms	42×	0	valid

Compiler

Compiled 610 to 526 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-pow: 121.0ms (63.9% of total)

adjust: 25.0ms (13.2% of total)

ival-e: 23.0ms (12.2% of total)

ival-mult: 9.0ms (4.8% of total)

ival-log1p: 6.0ms (3.2% of total)

ival-sub: 4.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7315396.096998963	8743574.773475181

Compiler

Compiled 117 to 103 computations (12% saved)

bsearch94.0ms (0.3%)

Memory

-18.6MiB live, 26.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
91.0ms	5.020414079766905e-11	0.0424362500565787

Samples

80.0ms	95×	1	valid
4.0ms	49×	0	valid

Compiler

Compiled 447 to 340 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 65.0ms (82.1% of total)

ival-e: 5.0ms (6.3% of total)

adjust: 3.0ms (3.8% of total)

ival-mult: 3.0ms (3.8% of total)

ival-log1p: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
16.0ms	1.1729603459436632e-16	4.487974096403625e-13

Samples

13.0ms	30×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 123 to 106 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 8.0ms (63.9% of total)

ival-e: 2.0ms (16% of total)

adjust: 1.0ms (8% of total)

ival-mult: 1.0ms (8% of total)

ival-log1p: 1.0ms (8% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify89.0ms (0.3%)

Memory

-26.1MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	269
1	104	269
2	132	269
3	209	269
4	465	269
5	2631	269

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -116000 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 8753086678663243/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -360000000000000000000 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 7400000 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -1200000000000000028494518830381326428890389513394418624968157986404284915450424687081813153859299952955215162960608139290952095803868097888124928 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 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (<=.f64 y #s(literal 7400000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 c #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)))
(if (<=.f64 c #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
(if (<=.f64 y #s(literal -116000 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 8753086678663243/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -116000 binary64)) (not (<=.f64 y #s(literal 8753086678663243/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -360000000000000000000 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 7400000 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -360000000000000000000 binary64)) (not (<=.f64 y #s(literal 7400000 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -1200000000000000028494518830381326428890389513394418624968157986404284915450424687081813153859299952955215162960608139290952095803868097888124928 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 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (or (<=.f64 y #s(literal -1200000000000000028494518830381326428890389513394418624968157986404284915450424687081813153859299952955215162960608139290952095803868097888124928 binary64)) (not (<=.f64 y #s(literal 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal 7400000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 c #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)))
(if (<=.f64 c #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

derivations820.0ms (2.6%)

Memory

20.6MiB live, 676.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	4135
1	2888	3862
0	8849	3385
0	546	2418
1	2059	2293
0	8648	2015
0	35	221
0	59	221
1	212	221
2	1502	221
0	8284	200
0	283	1289
1	1139	1110
2	4646	1080
0	8124	1006
0	11	46
0	18	46
1	72	46
2	472	40
3	4703	40
0	8213	25

Stop Event

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

Compiler

Compiled 269 to 81 computations (69.9% saved)

preprocess108.0ms (0.3%)

Memory: 19.1MiB live, 108.6MiB allocated
Remove: (negabs c)
Compiler: Compiled 644 to 246 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze204.0ms (0.6%)

sample23.6s (75.2%)

explain342.0ms (1.1%)

preprocess176.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify161.0ms (0.5%)

localize162.0ms (0.5%)

series284.0ms (0.9%)

simplify191.0ms (0.6%)

rewrite210.0ms (0.7%)

eval85.0ms (0.3%)

prune28.0ms (0.1%)

simplify169.0ms (0.5%)

localize236.0ms (0.8%)

series315.0ms (1%)

simplify127.0ms (0.4%)

rewrite164.0ms (0.5%)

eval72.0ms (0.2%)

prune20.0ms (0.1%)

simplify157.0ms (0.5%)

localize372.0ms (1.2%)

series361.0ms (1.2%)

simplify196.0ms (0.6%)

rewrite129.0ms (0.4%)

eval57.0ms (0.2%)

prune27.0ms (0.1%)

simplify126.0ms (0.4%)

localize442.0ms (1.4%)

series558.0ms (1.8%)

simplify181.0ms (0.6%)

rewrite169.0ms (0.5%)

eval72.0ms (0.2%)

prune33.0ms (0.1%)

regimes89.0ms (0.3%)

regimes79.0ms (0.3%)

regimes53.0ms (0.2%)

regimes16.0ms (0%)

regimes76.0ms (0.2%)

regimes4.0ms (0%)

regimes8.0ms (0%)

bsearch147.0ms (0.5%)

bsearch117.0ms (0.4%)

bsearch232.0ms (0.7%)

bsearch1.0ms (0%)

bsearch94.0ms (0.3%)

bsearch18.0ms (0.1%)

simplify89.0ms (0.3%)

derivations820.0ms (2.6%)

preprocess108.0ms (0.3%)

end0.0ms (0%)

Profiling