Metrics for Logarithmic Transform

start0.0ms (0%)

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

analyze307.0ms (0.9%)

Memory

-15.3MiB live, 418.4MiB allocated; 111ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0s (74.9%)

Memory

159.2MiB live, 31 514.2MiB allocated; 6.6s collecting garbage

Samples

20.9s	1 618×	5	exit
3.5s	4 746×	1	valid
460.0ms	703×	1	invalid
391.0ms	3 510×	0	valid
111.0ms	656×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 24.5s

ival-pow: 19.5s (79.8% of total)

ival-e: 3.0s (12.3% of total)

ival-log1p: 743.0ms (3% of total)

adjust: 500.0ms (2% of total)

ival-mult: 424.0ms (1.7% of total)

ival-sub: 231.0ms (0.9% of total)

exact: 18.0ms (0.1% of total)

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

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

Bogosity

explain342.0ms (1%)

Memory

43.1MiB live, 509.0MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	0	-	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
156	53	(9.32663152930828e-298 -2.9094579470105172e-154 -5.097470952726527e-265)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
10	1	(-1.0650768335541053e+200 7.138356086239415e-221 1.1405319873622567e-303)	2	(-8.945065413758961e+52 3.3783858133615952e-242 -2.2989624367065455e-72)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	209
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	35
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	9

Confusion

	Predicted +	Predicted -
+	151	0
-	85	20

Precision

0.6398305084745762

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	151	0	0
-	85	0	20

Precision?

0.6398305084745762

Recall?

1.0

Freqs

test

number	freq
0	20
1	219
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

199.0ms	348×	1	valid
18.0ms	164×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-pow: 116.0ms (64.4% of total)

ival-e: 23.0ms (12.8% of total)

adjust: 13.0ms (7.2% of total)

ival-mult: 10.0ms (5.6% of total)

ival-log1p: 7.0ms (3.9% of total)

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

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

ival-true: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

preprocess171.0ms (0.5%)

Memory

-12.3MiB live, 172.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.9%	(.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)

simplify177.0ms (0.5%)

Memory

14.2MiB live, 204.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	38	51
3	58	51
4	88	51
5	183	51
6	1077	51
7	4612	51
8	6926	51
0	8436	46

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (0.4%)

Memory

-8.8MiB live, 186.6MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy	2.245543404180849	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	35.758144528178	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	40.34466609589422	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

108.0ms	174×	1	valid
8.0ms	82×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-pow: 52.0ms (55.6% of total)

ival-e: 21.0ms (22.5% of total)

adjust: 6.0ms (6.4% of total)

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

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

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

ival-add: 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)

series200.0ms (0.6%)

Memory

-3.4MiB live, 274.5MiB allocated; 45ms collecting garbage

Counts

5 → 49

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
73.0ms	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))
38.0ms	x	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
19.0ms	c	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
16.0ms	x	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
16.0ms	c	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))

simplify205.0ms (0.6%)

Memory

26.3MiB live, 256.7MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
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Outputs
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (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))

rewrite176.0ms (0.5%)

Memory

26.1MiB live, 258.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 211

Calls

Call 1

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

Outputs
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x))))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (.f64 y (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 y (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) #s(literal 0 binary64))
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
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eval77.0ms (0.2%)

Memory: -31.3MiB live, 68.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 992 to 1 402 computations (79.9% saved)

prune12.0ms (0%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	246	13	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	13	260

Accuracy

99.9%

Counts

260 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
▶	42.1%	(.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)))))
	42.3%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
	45.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
▶	36.4%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	48.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
▶	52.4%	(.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)))
	58.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
	50.6%	#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))
	52.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
	52.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
▶	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 612 to 458 computations (25.2% saved)

simplify123.0ms (0.4%)

Memory

-20.0MiB live, 169.7MiB allocated; 21ms collecting garbage

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)

localize246.0ms (0.7%)

Memory

-5.4MiB live, 390.3MiB allocated; 77ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
accuracy	2.245543404180849	(.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	16.335203914838402	#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	35.758144528178	(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	2.245543404180849	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy	11.626989309341	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy	35.758144528178	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy	1.9242784326383071	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
accuracy	2.245543404180849	(.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	3.1151164061510372	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)
accuracy	26.330438692088173	#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	5.908516073009665	(.f64 (.f64 c y) x)
accuracy	24.556710622231968	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.0	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	0.0	(expm1.f64 x)
accuracy	0.01171875	(*.f64 y (expm1.f64 x))
accuracy	2.245543404180849	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

203.0ms	174×	1	valid
18.0ms	82×	0	valid

Compiler

Compiled 209 to 31 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 58.0ms (30% of total)

ival-pow: 57.0ms (29.5% of total)

ival-add: 35.0ms (18.1% of total)

adjust: 15.0ms (7.8% of total)

ival-e: 12.0ms (6.2% of total)

ival-expm1: 6.0ms (3.1% of total)

ival-log1p: 6.0ms (3.1% 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)

series295.0ms (0.9%)

Memory

-1.8MiB live, 320.7MiB allocated; 28ms collecting garbage

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))))
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (+ 1 (* 1/2 x)))
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(* 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))))
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(* (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
67.0ms	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))
49.0ms	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))
44.0ms	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))
38.0ms	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))
33.0ms	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))

simplify194.0ms (0.6%)

Memory

22.9MiB live, 112.8MiB allocated; 18ms collecting garbage

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

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

rewrite258.0ms (0.7%)

Memory

13.5MiB live, 162.9MiB allocated; 20ms collecting garbage

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))
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(/.f64 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (fma.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))) (/.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 (+.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)) (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 (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 (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)))
(/.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 #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 (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))

eval48.0ms (0.1%)

Memory: -14.2MiB live, 31.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 335 to 1 414 computations (86.3% saved)

prune20.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	264	11	275
Fresh	4	4	8
Picked	1	4	5
Done	0	0	0
Total	269	19	288

Accuracy

99.9%

Counts

288 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	66.6%	(.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)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
	58.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
▶	45.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	36.4%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	48.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
✓	52.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	55.8%	(.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)))
▶	33.1%	(.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)))
▶	46.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
	56.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
	77.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
▶	77.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	50.6%	#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))
▶	57.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
✓	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 882 to 650 computations (26.3% saved)

simplify157.0ms (0.5%)

Memory

-9.3MiB live, 81.2MiB allocated; 7ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	425
0	76	419
1	143	419
2	329	419
3	994	419
4	3589	380
0	8573	340

Stop Event

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

Calls

Call 1

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

localize358.0ms (1%)

Memory

-10.2MiB live, 273.5MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x #s(literal 1 binary64))
accuracy	2.245543404180849	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
accuracy	13.784489328071167	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	35.758144528178	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	2.245543404180849	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
accuracy	4.015611238027802	(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x))
accuracy	10.827904611696068	(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)
accuracy	26.330438692088173	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y)))
accuracy	2.245543404180849	(.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	4.915022053785531	(.f64 (.f64 y y) x)
accuracy	26.330438692088173	#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	49.93574449886708	#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	5.772973949653048	(.f64 (.f64 x c) y)
accuracy	24.556710622231968	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0078125	(*.f64 (expm1.f64 x) c)
accuracy	3.8686745470508876	(.f64 (.f64 (expm1.f64 x) c) y)
accuracy	11.538476483692143	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))

Samples

253.0ms	174×	1	valid
37.0ms	82×	0	valid

Compiler

Compiled 274 to 41 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-pow: 92.0ms (37.3% of total)

adjust: 40.0ms (16.2% of total)

ival-mult: 40.0ms (16.2% of total)

ival-add: 29.0ms (11.8% of total)

ival-expm1: 22.0ms (8.9% of total)

ival-e: 10.0ms (4.1% of total)

ival-log1p: 6.0ms (2.4% of total)

ival-sub: 4.0ms (1.6% of total)

ival-div: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series148.0ms (0.4%)

Memory

8.6MiB live, 289.5MiB allocated; 30ms collecting garbage

Counts

20 → 111

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (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) y) x) (* (* -1/2 x) x)) y) (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (* y y) x))
25.0ms	c	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (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) y) x) (* (* -1/2 x) x)) y) (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (* y y) x))
23.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (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) y) x) (* (* -1/2 x) x)) y) (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (* y y) x))
21.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (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) y) x) (* (* -1/2 x) x)) y) (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (* y y) x))
19.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (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) y) x) (* (* -1/2 x) x)) y) (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (* y y) x))

simplify130.0ms (0.4%)

Memory

2.4MiB live, 196.4MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	2177
1	1913	2039
2	7973	2005
0	8266	1665

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

Calls

Call 1

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

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

rewrite176.0ms (0.5%)

Memory

-9.9MiB live, 326.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	329
0	76	325
1	266	325
2	1847	325
0	9159	292

Stop Event

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

Counts

20 → 178

Calls

Call 1

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

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

eval38.0ms (0.1%)

Memory: 5.1MiB live, 103.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 391 to 1 570 computations (87.3% saved)

prune28.0ms (0.1%)

Memory

-3.7MiB live, 86.9MiB allocated; 4ms collecting garbage

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	274	7	281
Fresh	0	10	10
Picked	1	4	5
Done	0	4	4
Total	275	25	300

Accuracy

99.9%

Counts

300 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
▶	66.6%	(.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)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
▶	58.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
✓	45.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	36.4%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	48.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
✓	52.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	55.8%	(.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)))
✓	33.1%	(.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)))
▶	33.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64))) x)))
	56.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
	32.9%	(.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)))))
▶	56.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x)) y))))
	35.3%	(log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) c))
▶	77.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))
✓	77.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	56.3%	#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))
	55.6%	#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))
	56.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
	50.6%	#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))
✓	57.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	53.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
✓	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 179 to 840 computations (28.8% saved)

simplify211.0ms (0.6%)

Memory

14.8MiB live, 242.8MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	562
0	94	549
1	179	549
2	435	549
3	1395	537
4	4570	527
0	8630	496

Stop Event

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

Calls

Call 1

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

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

localize397.0ms (1.1%)

Memory

36.8MiB live, 398.6MiB allocated; 71ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	2.245543404180849	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
accuracy	19.696817541917486	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	0.046875	(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
accuracy	2.178551922645011	(.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x)) y)
accuracy	2.245543404180849	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x)) y))))
accuracy	26.330438692088173	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x)) y)))
accuracy	1.9242784326383071	(.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64))) x)
accuracy	2.245543404180849	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64))) x)))
accuracy	26.330438692088173	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64))) x))
accuracy	49.93574449886708	#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	2.245543404180849	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
accuracy	25.763175189543173	#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
accuracy	0.03515625	(fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (*.f64 (expm1.f64 x) c))
accuracy	3.1474843046689562	(.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y)
accuracy	3.439252847137402	(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
accuracy	11.786313909384951	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y))

Samples

312.0ms	173×	1	valid
29.0ms	83×	0	valid

Compiler

Compiled 345 to 50 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-pow: 97.0ms (37.5% of total)

ival-mult: 86.0ms (33.3% of total)

adjust: 24.0ms (9.3% of total)

ival-log1p: 11.0ms (4.3% of total)

ival-e: 10.0ms (3.9% of total)

ival-add: 9.0ms (3.5% of total)

ival-sub: 6.0ms (2.3% of total)

ival-expm1: 6.0ms (2.3% of total)

ival-div: 5.0ms (1.9% of total)

ival-pow2: 5.0ms (1.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series168.0ms (0.5%)

Memory

-5.6MiB live, 182.8MiB allocated; 42ms collecting garbage

Counts

21 → 127

Calls

Call 1

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

Outputs
(* c (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (pow (- (exp x) 1) 2))))))
(* -1 (* c (* y (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (pow (- (exp x) 1) 2)))))))
(* c x)
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c)))))
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 1/6 c))))))))
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (+ (* 1/6 c) (* x (+ (* -7/24 (* c y)) (* 1/24 c)))))))))))
(* c (* x 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 (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))
(* x (+ (* c y) (* x (+ (* x (* y (+ (* -1/2 (* c y)) (* 1/6 c)))) (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))))
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) (* y (+ (* -1/2 (* c y)) (* 1/6 c))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))))
(* -1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/2 y) (* -1/2 (* x y))))
(* (pow x 2) (+ (* -1/2 y) (* x (+ (* -1/2 y) (* -7/24 (* x y))))))
(* (pow x 2) (+ (* -1/2 y) (* x (+ (* -1/2 y) (* x (+ (* -7/24 y) (* -1/8 (* x y))))))))
(* 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)))))))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* x (+ y (* 1/2 (* x (- y (pow y 2))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(* x (+ y (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* -1/2 (* y (pow (- (exp x) 1) 2)))
(log (+ 1 (* y (- (exp x) 1))))
(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)))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(* (pow x 2) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x)))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* c (- (exp x) 1))
(* c (* y (- (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 (- (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)))))
(* y (+ 1 (* 1/2 x)))
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
1/2
(+ 1/2 (* -1/2 y))
(* -1/2 (* c (* y (pow (- (exp x) 1) 2))))
(* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)))
(* 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))))))
(* -1/2 (* c (* (pow y 2) (pow (- (exp x) 1) 2))))
(* (pow y 2) (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)))
(+ (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))))))
(+ (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)))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* -1/2 y)
(* y (- (* 1/2 (/ 1 y)) 1/2))
(* -1 (* y (+ (* -1 (/ (* c (- (exp x) 1)) y)) (* 1/2 (* c (pow (- (exp x) 1) 2))))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* (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 (- 1/2 (* 1/2 (/ 1 y)))))

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	c	@	0	((+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (* (* (pow (- (exp x) 1) 2) -1/2) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (* 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) 1) y) x) (* (* -1/2 x) x)) y) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (/ 1/2 y) 1/2) y) (* (+ (* 1/2 x) 1) x))
29.0ms	x	@	inf	((+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (* (* (pow (- (exp x) 1) 2) -1/2) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (* 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) 1) y) x) (* (* -1/2 x) x)) y) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (/ 1/2 y) 1/2) y) (* (+ (* 1/2 x) 1) x))
23.0ms	c	@	inf	((+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (* (* (pow (- (exp x) 1) 2) -1/2) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (* 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) 1) y) x) (* (* -1/2 x) x)) y) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (/ 1/2 y) 1/2) y) (* (+ (* 1/2 x) 1) x))
21.0ms	c	@	-inf	((+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (* (* (pow (- (exp x) 1) 2) -1/2) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (* 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) 1) y) x) (* (* -1/2 x) x)) y) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (/ 1/2 y) 1/2) y) (* (+ (* 1/2 x) 1) x))
17.0ms	x	@	-inf	((+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (* (* (pow (- (exp x) 1) 2) -1/2) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (* 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) 1) y) x) (* (* -1/2 x) x)) y) y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- (/ 1/2 y) 1/2) y) (* (+ (* 1/2 x) 1) x))

simplify222.0ms (0.6%)

Memory

36.9MiB live, 129.0MiB allocated; 124ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	2742
1	2325	2629
0	9436	2294

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 125

Calls

Call 1

Inputs
(* c (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* -1 (* c (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (pow (- (exp x) 1) 2))))))
(* -1 (* c (* y (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (pow (- (exp x) 1) 2)))))))
(* c x)
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c)))))
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 1/6 c))))))))
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (+ (* 1/6 c) (* x (+ (* -7/24 (* c y)) (* 1/24 c)))))))))))
(* c (* x 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 (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))
(* x (+ (* c y) (* x (+ (* x (* y (+ (* -1/2 (* c y)) (* 1/6 c)))) (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))))
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) (* y (+ (* -1/2 (* c y)) (* 1/6 c))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))))
(* -1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/2 y) (* -1/2 (* x y))))
(* (pow x 2) (+ (* -1/2 y) (* x (+ (* -1/2 y) (* -7/24 (* x y))))))
(* (pow x 2) (+ (* -1/2 y) (* x (+ (* -1/2 y) (* x (+ (* -7/24 y) (* -1/8 (* x y))))))))
(* 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)))))))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* x (+ y (* 1/2 (* x (- y (pow y 2))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(* x (+ y (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* -1/2 (* y (pow (- (exp x) 1) 2)))
(log (+ 1 (* y (- (exp x) 1))))
(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)))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(* (pow x 2) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x)))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* c (- (exp x) 1))
(* c (* y (- (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 (- (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)))))
(* y (+ 1 (* 1/2 x)))
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
1/2
(+ 1/2 (* -1/2 y))
(* -1/2 (* c (* y (pow (- (exp x) 1) 2))))
(* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)))
(* 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))))))
(* -1/2 (* c (* (pow y 2) (pow (- (exp x) 1) 2))))
(* (pow y 2) (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)))
(+ (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))))))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
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(- (+ (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)))
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(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* -1/2 y)
(* y (- (* 1/2 (/ 1 y)) 1/2))
(* -1 (* y (+ (* -1 (/ (* c (- (exp x) 1)) y)) (* 1/2 (* c (pow (- (exp x) 1) 2))))))
(* 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))))
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(+ (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))))))
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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 (- 1/2 (* 1/2 (/ 1 y)))))

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

rewrite213.0ms (0.6%)

Memory

-23.9MiB live, 156.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	446
0	94	435
1	341	435
2	2459	435
0	8247	403

Stop Event

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

Counts

21 → 168

Calls

Call 1

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

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

eval49.0ms (0.1%)

Memory: 14.3MiB live, 58.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 11 976 to 1 484 computations (87.6% saved)

prune25.0ms (0.1%)

Memory

9.7MiB live, 56.4MiB allocated; 2ms collecting garbage

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	1	11	12
Picked	2	3	5
Done	0	8	8
Total	289	27	316

Accuracy

99.9%

Counts

316 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	67.5%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
✓	66.6%	(.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)
	6.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
✓	58.2%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
✓	45.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	36.4%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	48.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
✓	52.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
	55.8%	(.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)))
✓	33.1%	(.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)))
✓	33.0%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (* 1/2 x) (- y (* y y))) y) (.f64 (.f64 (*.f64 x y) y) #s(literal -1/2 binary64))) x)))
	56.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))
	56.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
	32.9%	(.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)))))
	57.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))
	35.3%	(log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) c))
	77.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (expm1.f64 x)) c) y))
✓	77.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	56.3%	#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))
	55.6%	#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))
	52.0%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) x (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 c y) c))) x c) x)) y))
	59.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) y) x (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 c y) c)) y)) x (.f64 c y)) x)))
	56.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
	50.6%	#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))
✓	57.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	61.9%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 888 to 807 computations (57.3% saved)

regimes80.0ms (0.2%)

Memory

-4.0MiB live, 139.1MiB allocated; 16ms collecting garbage

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

14.0ms	y
9.0ms	x
9.0ms	c
8.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
8.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.5%	1	`(pow.f64 (E.f64) x)`
96.5%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
96.5%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
96.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
96.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
96.5%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
96.5%	1	`c`
96.5%	1	`x`
99.8%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes10.0ms (0%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

34 → 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)
#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))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
(.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 x y) 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) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))
#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 (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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) 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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) x (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 c y) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) y) x (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 c y) c)) y)) x (.f64 c 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)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(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 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)

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

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes74.0ms (0.2%)

Memory

4.9MiB live, 143.4MiB allocated; 19ms collecting garbage

Counts

31 → 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)
#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))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
(.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 x y) 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) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))
#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 (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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) 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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) x (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 c y) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) y) x (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 c y) c)) y)) x (.f64 c 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)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(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 (fma.f64 #s(literal 1/6 binary64) x #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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
81.0%	3	`c`
89.0%	2	`(pow.f64 (E.f64) x)`
89.0%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
89.0%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
79.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
79.9%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
79.4%	2	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
89.1%	2	`x`
92.3%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes13.0ms (0%)

Memory

-24.6MiB live, 21.1MiB allocated; 7ms collecting garbage

Counts

28 → 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)
#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))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
(.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 x y) 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) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))
#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 (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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) 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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) x (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 c y) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) y) x (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 c y) c)) y)) x (.f64 c 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)))))

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
91.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.1%)

Memory

24.9MiB live, 70.7MiB allocated; 6ms collecting garbage

Counts

26 → 5

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

Calls

5 calls:

11.0ms	x
7.0ms	y
6.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
5.0ms	(pow.f64 (E.f64) x)
5.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
79.8%	2	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
77.7%	1	`(pow.f64 (E.f64) x)`
77.7%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
81.0%	3	`x`
87.3%	5	`y`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes32.0ms (0.1%)

Memory

-19.9MiB live, 34.2MiB allocated; 28ms collecting garbage

Counts

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

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

#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

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes56.0ms (0.2%)

Memory

16.6MiB live, 108.0MiB allocated; 12ms collecting garbage

Counts

23 → 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)
#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))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
(.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 x y) 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) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))
#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 (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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) 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))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x (.f64 (.f64 #s(literal -1/2 binary64) x) x)) y) y))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) x (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 c y) c))) x c) x)) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* (* (pow (- (exp x) 1) 2) -1/2) y) c) (* (- (exp x) 1) c)) y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) c (.f64 (.f64 c y) #s(literal -1/2 binary64))) y) x (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 c y) c)) y)) x (.f64 c 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:

10.0ms	x
9.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
6.0ms	y
6.0ms	c
5.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
61.9%	1	`(pow.f64 (E.f64) x)`
61.9%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
61.9%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.9%	1	`x`
66.0%	2	`c`
61.9%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
61.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
61.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
65.9%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes8.0ms (0%)

Memory

-35.9MiB live, 10.1MiB allocated; 5ms collecting garbage

Counts

11 → 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)
#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))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
(.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 x y) 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) #s(approx (* (* (- (exp x) 1) c) y) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) c (.f64 c y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 #s(approx ( (+ (* (/ (+ (* 1/2 x) 1) y) x) (* (* -1/2 x) x)) y) (.f64 (fma.f64 #s(approx ( (- (/ 1/2 y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)) x)) y))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.6%	2	`c`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	c
1.0ms	y

Results

Accuracy	Segments	Branch
61.9%	1	`y`
61.9%	1	`c`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch38.0ms (0.1%)

Memory

13.0MiB live, 66.3MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
8.0ms	4.7960917335269967e-147	3.1554283531385294e-141
28.0ms	-8.633504209073363e-10	-1.2150838430716358e-14

Samples

29.0ms	57×	1	valid
3.0ms	39×	0	valid

Compiler

Compiled 213 to 184 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow: 16.0ms (56.6% of total)

adjust: 5.0ms (17.7% of total)

ival-e: 3.0ms (10.6% of total)

ival-mult: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.5% of total)

ival-log1p: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch58.0ms (0.2%)

Memory

10.6MiB live, 104.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.7960917335269967e-147	3.1554283531385294e-141
54.0ms	-1.2150838430716358e-14	-2.2079357601864654e-22

Samples

44.0ms	91×	1	valid
4.0ms	53×	0	valid

Compiler

Compiled 290 to 269 computations (7.2% saved)

Precisions

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

ival-pow: 29.0ms (66.5% of total)

ival-e: 6.0ms (13.8% of total)

adjust: 3.0ms (6.9% of total)

ival-mult: 3.0ms (6.9% of total)

ival-log1p: 2.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch68.0ms (0.2%)

Memory

12.0MiB live, 107.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	5.492395454100647e-15	1.1051901694781469e-12
22.0ms	-5.707269553687011e+19	-3.90287039589132e+19

Samples

48.0ms	111×	1	valid
6.0ms	49×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 385 to 336 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 33.0ms (67.5% of total)

ival-e: 6.0ms (12.3% of total)

adjust: 3.0ms (6.1% of total)

ival-mult: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-log1p: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch83.0ms (0.2%)

Memory

1.0MiB live, 157.5MiB allocated; 38ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	2.4645606502487934e-9	4.567647810656931e-7
31.0ms	-3.5884922730185715e+57	-2.427261563246789e+57

Samples

59.0ms	111×	1	valid
8.0ms	65×	0	valid

Compiler

Compiled 389 to 346 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 29.0ms (55.2% of total)

ival-mult: 8.0ms (15.2% of total)

ival-e: 6.0ms (11.4% of total)

ival-log1p: 4.0ms (7.6% of total)

adjust: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.2s (3.3%)

Memory

-164.9MiB live, 532.7MiB allocated; 1.2s collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
143.0ms	5.1681326518041806e+175	1.3236051615639423e+186
87.0ms	5.2609803328950676e+47	1.0165407912636075e+52
101.0ms	-3.268365007101881e+67	-3.5884922730185715e+57
780.0ms	-2.2668687656512477e+219	-3.134269262811466e+216

Samples

1.0s	474×	1	valid
30.0ms	84×	1	invalid
15.0ms	174×	0	invalid
9.0ms	102×	0	valid

Compiler

Compiled 2 157 to 1 636 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-e: 715.0ms (68.4% of total)

ival-pow: 274.0ms (26.2% of total)

ival-mult: 17.0ms (1.6% of total)

adjust: 15.0ms (1.4% of total)

ival-log1p: 12.0ms (1.1% of total)

ival-sub: 11.0ms (1.1% of total)

ival-true: 1.0ms (0.1% of total)

exact: 1.0ms (0.1% of total)

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

bsearch132.0ms (0.4%)

Memory

-6.3MiB live, 131.6MiB allocated; 24ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	2.4167051208744533e+46	5.2609803328950676e+47
46.0ms	-2.1758730517759716e+69	-4.267077559941595e+68

Samples

92.0ms	175×	1	valid
4.0ms	49×	0	invalid
3.0ms	33×	0	valid
1.0ms	2×	1	invalid

Compiler

Compiled 457 to 393 computations (14% saved)

Precisions

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

ival-pow: 64.0ms (70.8% of total)

ival-e: 10.0ms (11.1% of total)

adjust: 5.0ms (5.5% of total)

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

ival-log1p: 4.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch53.0ms (0.2%)

Memory

37.4MiB live, 80.1MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	3.108967867270689e-21	5.166209413006897e-18

Samples

41.0ms	72×	1	valid
4.0ms	56×	0	valid

Compiler

Compiled 399 to 304 computations (23.8% saved)

Precisions

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

ival-pow: 29.0ms (71.2% of total)

ival-e: 5.0ms (12.3% of total)

adjust: 2.0ms (4.9% of total)

ival-mult: 2.0ms (4.9% of total)

ival-log1p: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	2.3273789648986163e+70	6.038970999626692e+70

Samples

5.0ms	11×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow: 3.0ms (61.7% of total)

ival-e: 1.0ms (20.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify63.0ms (0.2%)

Memory

-24.9MiB live, 73.8MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	122	470
1	166	470
2	249	470
3	536	470
4	1486	470
5	5748	461

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (expm1.f64 x)) c) y)) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -1541463129877527/40564819207303340847894502572032 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 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 -42000000000000000000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5446936172855673/4951760157141521099596496896 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -2699999999999999834354296544010040856805407775293337239552 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 8500259669165361/18889465931478580854784 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 -10500000000000000378016346517482504300798239884623205230175188708027374564669204835511262255537033399011420458120043839570972408938256941613550359298993621553997386622544916988287429913642956365822049839834008234491904 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 -47999999999999997570582494259552905614254960528643683508027392 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) (if (<=.f64 y #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (if (<=.f64 y #s(literal 1260000000000000010547514930916478097113907086839601834407660185884213165441387481003567981063727921225855726058977429267889622591340750167311419869977308886431197970980773323690790092800 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) 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 -1460000000000000067583508595385461825232550959326192464588108772409344 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 y x))) (if (<=.f64 y #s(literal 24499999999999998437509906129649680075391500288 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 6620178494631905/1298074214633706907132624082305024 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 40000000000000002901257455261169405046334976385860878220728406219161600 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 -4951760157141521/2475880078570760549798248448 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (expm1.f64 x)) c) y)) (.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (not (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (fma.f64 y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (expm1.f64 x)) c) y)))
(if (<=.f64 y #s(literal -1541463129877527/40564819207303340847894502572032 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 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 -1541463129877527/40564819207303340847894502572032 binary64)) (not (<=.f64 y #s(literal 2196735251241795/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -42000000000000000000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5446936172855673/4951760157141521099596496896 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -42000000000000000000 binary64)) (not (<=.f64 y #s(literal 5446936172855673/4951760157141521099596496896 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -2699999999999999834354296544010040856805407775293337239552 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 8500259669165361/18889465931478580854784 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 -2699999999999999834354296544010040856805407775293337239552 binary64)) (not (<=.f64 y #s(literal 8500259669165361/18889465931478580854784 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -10500000000000000378016346517482504300798239884623205230175188708027374564669204835511262255537033399011420458120043839570972408938256941613550359298993621553997386622544916988287429913642956365822049839834008234491904 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 -47999999999999997570582494259552905614254960528643683508027392 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) (if (<=.f64 y #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (if (<=.f64 y #s(literal 1260000000000000010547514930916478097113907086839601834407660185884213165441387481003567981063727921225855726058977429267889622591340750167311419869977308886431197970980773323690790092800 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) 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 -10500000000000000378016346517482504300798239884623205230175188708027374564669204835511262255537033399011420458120043839570972408938256941613550359298993621553997386622544916988287429913642956365822049839834008234491904 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 -47999999999999997570582494259552905614254960528643683508027392 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) (if (<=.f64 y #s(literal 1000000000000000043845843045076197354634047651840 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y)) (if (<=.f64 y #s(literal 1260000000000000010547514930916478097113907086839601834407660185884213165441387481003567981063727921225855726058977429267889622591340750167311419869977308886431197970980773323690790092800 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) 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 -1460000000000000067583508595385461825232550959326192464588108772409344 binary64)) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 y x))) (if (<=.f64 y #s(literal 24499999999999998437509906129649680075391500288 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 (or (<=.f64 y #s(literal -1460000000000000067583508595385461825232550959326192464588108772409344 binary64)) (not (<=.f64 y #s(literal 24499999999999998437509906129649680075391500288 binary64)))) (.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 y x))) #s(approx ( c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 c #s(literal 6620178494631905/1298074214633706907132624082305024 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 6620178494631905/1298074214633706907132624082305024 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 #s(approx (- (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 40000000000000002901257455261169405046334976385860878220728406219161600 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))

derivations1.3s (3.8%)

Memory

31.0MiB live, 1 155.4MiB allocated; 263ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	59	221
1	212	221
2	1502	221
0	8284	200
0	505	2177
1	1913	2039
2	7973	2005
0	8266	1665
0	546	2418
1	2059	2293
0	8648	2015
0	65	446
0	94	435
1	341	435
2	2459	435
0	8247	403
0	280	1255
1	1125	1082
2	4567	1052
0	8634	983
0	11	43
0	18	43
1	72	43
2	472	38
3	4703	38
0	8213	23
0	602	2742
1	2325	2629
0	9436	2294
0	53	329
0	76	325
1	266	325
2	1847	325
0	9159	292

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

Compiler

Compiled 477 to 124 computations (74% saved)

preprocess110.0ms (0.3%)

Memory: 13.3MiB live, 153.7MiB allocated; 24ms collecting garbage
Remove: (negabs c)
Compiler: Compiled 1 078 to 344 computations (68.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze307.0ms (0.9%)

sample26.0s (74.9%)

explain342.0ms (1%)

preprocess171.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify177.0ms (0.5%)

localize126.0ms (0.4%)

series200.0ms (0.6%)

simplify205.0ms (0.6%)

rewrite176.0ms (0.5%)

eval77.0ms (0.2%)

prune12.0ms (0%)

simplify123.0ms (0.4%)

localize246.0ms (0.7%)

series295.0ms (0.9%)

simplify194.0ms (0.6%)

rewrite258.0ms (0.7%)

eval48.0ms (0.1%)

prune20.0ms (0.1%)

simplify157.0ms (0.5%)

localize358.0ms (1%)

series148.0ms (0.4%)

simplify130.0ms (0.4%)

rewrite176.0ms (0.5%)

eval38.0ms (0.1%)

prune28.0ms (0.1%)

simplify211.0ms (0.6%)

localize397.0ms (1.1%)

series168.0ms (0.5%)

simplify222.0ms (0.6%)

rewrite213.0ms (0.6%)

eval49.0ms (0.1%)

prune25.0ms (0.1%)

regimes80.0ms (0.2%)

regimes10.0ms (0%)

regimes74.0ms (0.2%)

regimes13.0ms (0%)

regimes35.0ms (0.1%)

regimes32.0ms (0.1%)

regimes56.0ms (0.2%)

regimes8.0ms (0%)

regimes2.0ms (0%)

bsearch38.0ms (0.1%)

bsearch58.0ms (0.2%)

bsearch68.0ms (0.2%)

bsearch83.0ms (0.2%)

bsearch1.2s (3.3%)

bsearch132.0ms (0.4%)

bsearch53.0ms (0.2%)

bsearch7.0ms (0%)

simplify63.0ms (0.2%)

derivations1.3s (3.8%)

preprocess110.0ms (0.3%)

end0.0ms (0%)

Profiling