Metrics for Logarithmic Transform

start0.0ms (0%)

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

analyze158.0ms (2.8%)

Memory

23.5MiB live, 205.3MiB allocated; 45ms 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 11 computations (21.4% saved)

sample2.7s (47.4%)

Memory

-25.6MiB live, 2 728.6MiB allocated; 1.8s collecting garbage

Samples

1.7s	4 838×	1	valid
195.0ms	3 418×	0	valid
142.0ms	699×	1	invalid
136.0ms	1 583×	1	exit
38.0ms	631×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-exp: 1.3s (69.6% of total)

adjust: 174.0ms (9.3% of total)

ival-mult!: 165.0ms (8.9% of total)

ival-log1p: 160.0ms (8.6% of total)

ival-sub!: 67.0ms (3.6% of total)

Bogosity

preprocess94.0ms (1.7%)

Memory

-21.1MiB live, 28.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	127
1	118	125
2	261	115
3	891	115
4	6471	115

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.8%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Symmetry

(negabs c)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series199.0ms (3.5%)

Memory

39.4MiB live, 254.1MiB allocated; 55ms collecting garbage

Counts

11 → 56

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
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (* y (log (E))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 1))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (* y (log (E)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* 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)))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (log (E)))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (log (E))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (pow (E) x) 1))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* y (- (pow (E) x) 1)))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* y (- (pow (E) x) 1))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (- (pow (E) x) 1)))
#s(approx (pow (E) x) #s(hole binary64 (pow (E) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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))))
#s(approx y #s(hole binary64 y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* y (- (+ (/ 1 y) (pow (E) x)) 1))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))))

Calls

9 calls:

Time	Variable	Point
61.0ms	c	0
50.0ms	x	-inf
22.0ms	x	inf
18.0ms	c	inf
14.0ms	c	-inf

rewrite178.0ms (3.2%)

Memory

19.3MiB live, 193.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2143
0	361	1888
1	2341	1864
0	8629	1577

Stop Event

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

Counts

67 → 108

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
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (* y (log (E))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 1))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (* y (log (E)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* 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)))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (log (E)))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (log (E))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))))
#s(approx (pow (E) x) #s(hole binary64 (+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (pow (E) x) 1))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* y (- (pow (E) x) 1)))))
#s(approx (* (- (pow (E) x) 1) y) #s(hole binary64 (* y (- (pow (E) x) 1))))
#s(approx (- (pow (E) x) 1) #s(hole binary64 (- (pow (E) x) 1)))
#s(approx (pow (E) x) #s(hole binary64 (pow (E) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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))))
#s(approx y #s(hole binary64 y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* y (- (+ (/ 1 y) (pow (E) x)) 1))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))))

Outputs
(.f64 (log.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))) c)
(.f64 c (log.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))))
(log.f64 (pow.f64 (fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) c))
c
(log1p.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))))
(log.f64 (fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) y) (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) y) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64)))) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 y) (expm1.f64 (.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 y) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 (neg.f64 y) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)))))
(fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))) (/.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) y))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 (.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))) (/.f64 (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))))
(+.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))
#s(literal 1 binary64)
(.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)
(.f64 y (expm1.f64 (.f64 x #s(literal 1 binary64))))
(pow.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))
(expm1.f64 (*.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (fabs.f64 (exp.f64 (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) (fabs.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))))
(.f64 (neg.f64 (exp.f64 (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) x) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(.f64 (exp.f64 (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) (/.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (E.f64) x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 x #s(literal 1 binary64))) (sinh.f64 (.f64 x #s(literal 1 binary64))))
(E.f64)
x
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))) c))
#s(approx c c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) (*.f64 y #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))) x) (.f64 (*.f64 c y) #s(literal 1 binary64))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) y)) #s(literal 1 binary64) (.f64 y #s(literal 1 binary64)))) x) c) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/2 binary64) c) (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))))) x (.f64 (*.f64 c y) #s(literal 1 binary64))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) y)) #s(literal 1 binary64) (.f64 y #s(literal 1 binary64)))) c) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 y #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) #s(literal 12 binary64)))))) x) c))) (.f64 (.f64 #s(literal 1/2 binary64) c) (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))))) (.f64 (*.f64 c y) #s(literal 1 binary64))) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (.f64 x y) #s(literal 1 binary64)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))) (*.f64 y #s(literal 1 binary64))) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) y)) #s(literal 1 binary64) (.f64 y #s(literal 1 binary64)))) x) #s(literal 1/6 binary64) (.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x (.f64 y #s(literal 1 binary64))) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal 1/24 binary64) x) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 y #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) #s(literal 12 binary64)))))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) y)) #s(literal 1 binary64) (.f64 y #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1 binary64))) x))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) x #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y #s(literal 1 binary64)))) x (*.f64 y #s(literal 1 binary64))) x #s(literal 1 binary64)))
#s(approx (* (- (pow (E) x) 1) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64))) x))
#s(approx (* (- (pow (E) x) 1) y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y #s(literal 1 binary64)))) x (.f64 y #s(literal 1 binary64))) x))
#s(approx (* (- (pow (E) x) 1) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 y #s(literal 1 binary64)))) x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x (.f64 y #s(literal 1 binary64))) x))
#s(approx (- (pow (E) x) 1) (*.f64 x #s(literal 1 binary64)))
#s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (pow (E) x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (pow (E) x) (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (pow (E) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log.f64 (fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (* (- (pow (E) x) 1) y) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))
#s(approx (- (pow (E) x) 1) (expm1.f64 (*.f64 x #s(literal 1 binary64))))
#s(approx (pow (E) x) (exp.f64 (*.f64 x #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y) c) #s(literal -1/2 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) c)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) c (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) c) #s(literal -1/2 binary64))) y)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) c (.f64 (fma.f64 y (fma.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) (.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) c) #s(literal -1/2 binary64))) y)) y))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y) #s(literal -1/2 binary64) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) y (expm1.f64 (.f64 x #s(literal 1 binary64)))) y))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 y (fma.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y)) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y))
#s(approx y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y)) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) c (/.f64 c (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (/.f64 c (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y))) #s(literal -1/2 binary64) (fma.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) c (/.f64 c (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (/.f64 c (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y))) #s(literal -1/2 binary64) (fma.f64 (/.f64 c (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) c (/.f64 c (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (+.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))) (.f64 (pow.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (+.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)) (fma.f64 (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal -3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y)))) (.f64 (pow.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) c (/.f64 c (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) c (neg.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y)) #s(literal 1/2 binary64) (neg.f64 (/.f64 c (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) c (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64))))) #s(literal -1/2 binary64))) y)) (neg.f64 (/.f64 c (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) y))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64))))) y))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1 binary64))))) y))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (neg.f64 (.f64 (-.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)) y)))

eval13.0ms (0.2%)

Memory: 23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 881 to 618 computations (78.5% saved)

prune9.0ms (0.2%)

Memory

-32.1MiB live, 13.5MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Accuracy

99.9%

Counts

103 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(.f64 (log.f64 (fma.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))) c)
	35.8%	(.f64 c (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y)))))))
▶	91.4%	(.f64 c (log1p.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y)))
▶	40.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)))))
▶	30.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	53.3%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (.f64 x y) #s(literal 1 binary64))))
	22.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 1 binary64))) y))))
	54.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))) x) (.f64 (*.f64 c y) #s(literal 1 binary64))) x))
	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))
	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) (*.f64 y #s(literal 1 binary64))))

Compiler

Compiled 410 to 310 computations (24.4% saved)

series204.0ms (3.6%)

Memory

13.7MiB live, 245.8MiB allocated; 82ms collecting garbage

Counts

23 → 95

Calls

Call 1

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

Outputs
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (exp x) 1)))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* c (* x y))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* x y)))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* 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)))))))))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* 1/2 (* x y))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))))
#s(approx (- (exp (* x 1)) 1) #s(hole binary64 x))
#s(approx (- (exp (* x 1)) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp (* x 1)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp (* x 1)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (* y (log (E))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 1))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (* y (log (E)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))))
#s(approx (+ (* (* x y) 1) 1) #s(hole binary64 (+ 1 (* x y))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* x (+ y (* 1/2 (* x y)))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (exp x) 1))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* y (- (exp x) 1))))
#s(approx (- (exp (* x 1)) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (pow (E) x) 1))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (+ 1 (* y (- (pow (E) x) 1)))))
#s(approx (+ (* (* x y) 1) 1) #s(hole binary64 (* x (+ y (/ 1 x)))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* y (- (exp x) 1)))))
#s(approx (+ (* (* x y) 1) 1) #s(hole binary64 (* -1 (* x (- (* -1 y) (/ 1 x))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* c (* y (- (exp x) 1)))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (* 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))))
#s(approx y #s(hole binary64 y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (pow (E) x) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (* 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))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* y (- (+ (/ 1 y) (pow (E) x)) 1))))
#s(approx (+ (* (* x y) 1) 1) #s(hole binary64 (* y (+ x (/ 1 y)))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (* y (- (+ (exp x) (/ 1 y)) 1))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* c (log (+ 1 (* (- (exp (* x 1)) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) #s(hole binary64 (+ (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))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(hole binary64 (* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))))
#s(approx (+ (* (* x y) 1) 1) #s(hole binary64 (* -1 (* y (- (* -1 x) (/ 1 y))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y))))))

Calls

9 calls:

Time	Variable	Point
62.0ms	c	inf
49.0ms	c	0
27.0ms	x	inf
24.0ms	x	-inf
24.0ms	c	-inf

rewrite155.0ms (2.7%)

Memory

9.2MiB live, 178.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	3602
0	643	2626
1	4546	2578
0	8664	2435

Stop Event

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

Counts

118 → 214

Calls

Call 1

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

eval20.0ms (0.4%)

Memory: 37.5MiB live, 37.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 292 to 842 computations (80.4% saved)

prune25.0ms (0.4%)

Memory

-29.9MiB live, 22.8MiB allocated; 20ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	167	10	177
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	174	13	187

Accuracy

99.9%

Counts

187 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
	40.8%	(.f64 (log.f64 (fma.f64 #s(approx (- (exp ( x 1)) 1) x) y #s(literal 1 binary64))) c)
▶	53.3%	(.f64 #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 y x)) c)
	35.8%	(.f64 c (-.f64 (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))))
▶	91.4%	(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
	65.0%	(.f64 c (log1p.f64 (.f64 #s(approx (- (exp (* x 1)) 1) x) y)))
	25.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y x)))))))
✓	30.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	69.6%	(.f64 c #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 (expm1.f64 x) y)))
	54.6%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (+.f64 (neg.f64 (.f64 y y)) y) x) (*.f64 y c)) x))
▶	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))
	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) (*.f64 y #s(literal 1 binary64))))
▶	22.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (expm1.f64 x) y)) c))

Compiler

Compiled 486 to 363 computations (25.3% saved)

series405.0ms (7.2%)

Memory

42.2MiB live, 418.8MiB allocated; 261ms collecting garbage

Counts

21 → 77

Calls

Call 1

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

Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (exp x) 1)))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* c (* y (- (exp x) 1)))))
#s(approx (* c y) #s(hole binary64 (* c y)))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (log (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (* x y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x y)))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* 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)))))))))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* 1/2 (* x y))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* 1/2 (* c (* x y))) (* c y)))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (+ (log x) (log y)))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* 1/2 (* c x)) (* c (+ (log x) (log y))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* c (+ (log x) (log y))) (* x (+ (* 1/24 (* c x)) (* 1/2 c))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* c (+ (log x) (log y))) (* x (+ (* 1/2 c) (* x (+ (* -1/2880 (* c (pow x 2))) (* 1/24 c))))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (log y))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* 1/2 x)))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* x (+ 1/2 (* 1/24 x)))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (exp x) 1))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* y (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (log (* y (- (exp x) 1)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* 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))))
#s(approx y #s(hole binary64 y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (+ (log y) (log (- (exp x) 1))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log y) (log (- (exp x) 1)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (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))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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
121.0ms	y	inf
101.0ms	c	0
43.0ms	c	inf
36.0ms	x	inf
35.0ms	x	-inf

rewrite138.0ms (2.4%)

Memory

10.5MiB live, 143.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	2564
0	566	2169
1	3691	2139
0	8136	2030

Stop Event

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

Counts

98 → 150

Calls

Call 1

Inputs
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
c
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 (expm1.f64 x) y)
(expm1.f64 x)
x
y
(.f64 #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) (*.f64 y x))
(*.f64 y x)
(.f64 c #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 (expm1.f64 x) y)))
#s(approx (log (+ 1 (* (- (exp (* x 1)) 1) y))) (*.f64 (expm1.f64 x) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 c y) (expm1.f64 (*.f64 x #s(literal 1 binary64))))
(*.f64 c y)
(expm1.f64 (*.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (expm1.f64 x) y)) c))
(.f64 (log.f64 (.f64 (expm1.f64 x) y)) c)
(log.f64 (*.f64 (expm1.f64 x) y))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (exp x) 1)))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* c (* y (- (exp x) 1)))))
#s(approx (* c y) #s(hole binary64 (* c y)))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (log (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (* x y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x y)))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* 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)))))))))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* 1/2 (* x y))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* 1/2 (* c (* x y))) (* c y)))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))))
#s(approx (* (* c y) (- (exp (* x 1)) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (+ (log x) (log y)))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* 1/2 (* c x)) (* c (+ (log x) (log y))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* c (+ (log x) (log y))) (* x (+ (* 1/24 (* c x)) (* 1/2 c))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (+ (* c (+ (log x) (log y))) (* x (+ (* 1/2 c) (* x (+ (* -1/2880 (* c (pow x 2))) (* 1/24 c))))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (log y))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* 1/2 x)))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* x (+ 1/2 (* 1/24 x)))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log x) (+ (log y) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (log (+ 1 (* y (- (exp x) 1))))))
#s(approx (* (- (exp x) 1) y) #s(hole binary64 (* y (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (log (* y (- (exp x) 1)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (* 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))))
#s(approx y #s(hole binary64 y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* (log (* (- (exp x) 1) y)) c) #s(hole binary64 (* c (+ (log y) (log (- (exp x) 1))))))
#s(approx (log (* (- (exp x) 1) y)) #s(hole binary64 (+ (log y) (log (- (exp x) 1)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (- (+ (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)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) #s(hole binary64 (+ (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))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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))))))))

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

eval29.0ms (0.5%)

Memory: -21.9MiB live, 29.1MiB allocated; 20ms collecting garbage
Compiler: Compiled 4 231 to 689 computations (83.7% saved)

prune11.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	147	15	162

Accuracy

99.9%

Counts

162 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
▶	40.8%	(.f64 (log.f64 (fma.f64 #s(approx (- (exp ( x 1)) 1) x) y #s(literal 1 binary64))) c)
✓	53.3%	(.f64 #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 y x)) c)
	35.8%	(.f64 c (-.f64 (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))))
✓	91.4%	(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
▶	65.0%	(.f64 c (log1p.f64 (.f64 #s(approx (- (exp (* x 1)) 1) x) y)))
	25.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y x)))))))
✓	30.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
✓	69.6%	(.f64 c #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 (expm1.f64 x) y)))
	52.3%	(.f64 c #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))
▶	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x)))
▶	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c x) (*.f64 y #s(literal 1 binary64))))
✓	22.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (expm1.f64 x) y)) c))
	13.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 #s(approx (- (exp x) 1) x) y)) c))
	12.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (log ( (- (exp x) 1) y)) (+.f64 (log.f64 (.f64 y x)) (.f64 #s(literal 1/2 binary64) x))) c))

Compiler

Compiled 524 to 389 computations (25.8% saved)

series163.0ms (2.9%)

Memory

-27.9MiB live, 200.7MiB allocated; 37ms collecting garbage

Counts

22 → 73

Calls

Call 1

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

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (log (+ 1 (* y (- (pow (E) x) 1)))))))
#s(approx (* (* y c) (- (exp x) 1)) #s(hole binary64 (* c (* y (- (exp x) 1)))))
#s(approx (* y c) #s(hole binary64 (* c y)))
#s(approx c #s(hole binary64 c))
#s(approx (* (* c x) (* y 1)) #s(hole binary64 (* c (* x y))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* c (log (+ 1 (* y (- (exp x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* x (* y (log (E)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))))))
#s(approx (* (* y c) (- (exp x) 1)) #s(hole binary64 (* x (+ (* 1/2 (* c (* x y))) (* c y)))))
#s(approx (* (* y c) (- (exp x) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))))
#s(approx (* (* y c) (- (exp x) 1)) #s(hole binary64 (* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* 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)))))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* 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))))))))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* x y)))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* 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)))))))))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 1))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* x y))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* x (+ y (* 1/2 (* x y)))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* 1/2 (* x y))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (log (+ 1 (* y (- (exp x) 1))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (+ 1 (* y (- (exp x) 1)))))
#s(approx (* (- (exp (* x 1)) 1) y) #s(hole binary64 (* y (- (exp x) 1))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (* y (- (pow (E) x) 1)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* 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)))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* 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)))))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (* 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))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (- (+ (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)))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (* y (- (+ (exp x) (/ 1 y)) 1))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (log (+ (* (- (exp (* x 1)) 1) y) 1)) c) #s(hole binary64 (+ (* -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))))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))))
#s(approx (log (+ (* (- (exp (* x 1)) 1) y) 1)) #s(hole binary64 (+ (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))))))
#s(approx (+ (* (- (exp (* x 1)) 1) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y))))))

Calls

9 calls:

Time	Variable	Point
36.0ms	y	inf
34.0ms	c	0
25.0ms	c	-inf
23.0ms	x	inf
23.0ms	c	inf

rewrite141.0ms (2.5%)

Memory

0.2MiB live, 139.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	2693
0	530	2070
1	3599	2034
0	8109	1872

Stop Event

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

Counts

95 → 170

Calls

Call 1

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

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

eval17.0ms (0.3%)

Memory: 30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 128 to 700 computations (83% saved)

prune22.0ms (0.4%)

Memory

-14.3MiB live, 25.3MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	2	3	5
Picked	1	4	5
Done	2	3	5
Total	151	15	166

Accuracy

99.9%

Counts

166 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))) c)
	91.4%	(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
✓	53.1%	(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
✓	40.8%	(.f64 (log.f64 (fma.f64 #s(approx (- (exp ( x 1)) 1) x) y #s(literal 1 binary64))) c)
✓	53.3%	(.f64 #s(approx (log (+ 1 ( (- (exp (* x 1)) 1) y))) (*.f64 y x)) c)
✓	65.0%	(.f64 c (log1p.f64 (.f64 #s(approx (- (exp (* x 1)) 1) x) y)))
	25.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y x)))))))
✓	30.1%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))))
✓	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y c) (expm1.f64 x)))
	59.1%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	22.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 (expm1.f64 x) y)) c))
	13.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (log.f64 (.f64 #s(approx (- (exp x) 1) x) y)) c))
	12.3%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 #s(approx (log ( (- (exp x) 1) y)) (+.f64 (log.f64 (.f64 y x)) (.f64 #s(literal 1/2 binary64) x))) c))
	75.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 y (.f64 (expm1.f64 x) c)))

Compiler

Compiled 905 to 384 computations (57.6% saved)

regimes78.0ms (1.4%)

Memory

32.0MiB live, 117.1MiB allocated; 19ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

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

Calls

9 calls:

18.0ms	c
10.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
9.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
91.4%	1	`(pow.f64 (E.f64) x)`
91.4%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
91.4%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
91.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
91.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
91.4%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
94.2%	2	`c`
95.7%	3	`x`
99.8%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes50.0ms (0.9%)

Memory

-19.5MiB live, 33.2MiB allocated; 53ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)

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

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

Calls

3 calls:

38.0ms	c
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
87.1%	5	`x`
83.5%	2	`c`
95.1%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes29.0ms (0.5%)

Memory

12.5MiB live, 59.2MiB allocated; 3ms collecting garbage

Counts

17 → 4

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
5.0ms	y
4.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
4.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
4.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
80.1%	2	`(pow.f64 (E.f64) x)`
80.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
90.5%	4	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
86.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
86.2%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
85.9%	2	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
94.8%	4	`y`

Compiler

Compiled 47 to 53 computations (-12.8% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.4%)

Memory

0.1MiB live, 46.3MiB allocated; 3ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

4.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
4.0ms	c
4.0ms	y
4.0ms	x
3.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
75.4%	1	`x`
78.0%	2	`c`
75.4%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
75.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
75.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
75.4%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
83.0%	3	`y`

Compiler

Compiled 41 to 47 computations (-14.6% saved)

regimes11.0ms (0.2%)

Memory

-31.0MiB live, 14.5MiB allocated; 4ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	y
2.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
2.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
75.4%	1	`(pow.f64 (E.f64) x)`
75.4%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
81.5%	3	`y`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes18.0ms (0.3%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

2.0ms	c
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
2.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Results

Accuracy	Segments	Branch
61.9%	2	`(pow.f64 (E.f64) x)`
61.9%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
60.7%	2	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
60.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
60.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
60.7%	2	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
61.9%	2	`x`
61.7%	2	`c`
65.2%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.9%	2	`x`
59.1%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

-38.0MiB live, 10.5MiB allocated; 10ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(pow.f64 (E.f64) x)
1.0ms	c
1.0ms	x
1.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
61.7%	2	`c`
59.1%	1	`(pow.f64 (E.f64) x)`
59.1%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.1%	1	`x`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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 x c) y))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.1%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.1%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.1%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.1%	1	`c`

Compiler

Compiled 39 to 41 computations (-5.1% saved)

bsearch27.0ms (0.5%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.09168991865024e-23	1.16392521709194e-15
16.0ms	-1.4243137526944063e-8	-1.936504677120994e-9

Samples

17.0ms	99×	1	valid
2.0ms	45×	0	valid

Compiler

Compiled 249 to 231 computations (7.2% saved)

Precisions

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

ival-exp: 9.0ms (58.8% of total)

adjust: 2.0ms (13.1% of total)

ival-log1p: 2.0ms (13.1% of total)

ival-mult!: 2.0ms (13.1% of total)

ival-sub!: 1.0ms (6.5% of total)

bsearch61.0ms (1.1%)

Memory

-24.4MiB live, 64.2MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6971208.669245838	45932868.419583954
30.0ms	-6.509685670727233e+59	-8.383791159806108e+49

Samples

36.0ms	203×	1	valid
6.0ms	53×	0	valid
3.0ms	54×	0	invalid
1.0ms	5×	1	invalid

Compiler

Compiled 477 to 433 computations (9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-exp: 20.0ms (54.8% of total)

ival-log1p: 7.0ms (19.2% of total)

ival-mult!: 5.0ms (13.7% of total)

adjust: 3.0ms (8.2% of total)

ival-sub!: 2.0ms (5.5% of total)

bsearch47.0ms (0.8%)

Memory

-2.4MiB live, 38.9MiB allocated; 9ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	6971208.669245838	45932868.419583954
29.0ms	-2.0272987424418785e+20	-15.05302855866813
14.0ms	-6.913104770522522e+184	-4.241546514567793e+184

Samples

27.0ms	133×	1	valid
5.0ms	91×	0	valid
2.0ms	15×	1	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 659 to 579 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 13.0ms (57% of total)

ival-mult!: 4.0ms (17.5% of total)

ival-log1p: 3.0ms (13.1% of total)

adjust: 2.0ms (8.8% of total)

ival-sub!: 1.0ms (4.4% of total)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6971208.669245838	45932868.419583954
1.0ms	-2.0272987424418785e+20	-15.05302855866813

Compiler

Compiled 527 to 463 computations (12.1% saved)

bsearch94.0ms (1.7%)

Memory

2.9MiB live, 94.2MiB allocated; 28ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	2.5199837435007403e+113	2.0527675040139447e+122
31.0ms	-7.645747576436362e+142	-7.418658418624746e+137

Samples

61.0ms	241×	1	valid
6.0ms	44×	1	invalid
4.0ms	82×	0	invalid
3.0ms	47×	0	valid

Compiler

Compiled 609 to 537 computations (11.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 43.0ms (69% of total)

ival-mult!: 6.0ms (9.6% of total)

ival-log1p: 6.0ms (9.6% of total)

adjust: 5.0ms (8% of total)

ival-sub!: 2.0ms (3.2% of total)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5199837435007403e+113	2.0527675040139447e+122
1.0ms	-7.645747576436362e+142	-7.418658418624746e+137

Compiler

Compiled 789 to 645 computations (18.3% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5199837435007403e+113	2.0527675040139447e+122
1.0ms	-7.645747576436362e+142	-7.418658418624746e+137

Compiler

Compiled 771 to 627 computations (18.7% saved)

bsearch15.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.5859829774932354e+33	-5.746112139581038e+29

Samples

7.0ms	128×	0	valid
1.0ms	28×	0	invalid

Compiler

Compiled 271 to 247 computations (8.9% saved)

Precisions

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

ival-exp: 1.0ms (23.2% of total)

ival-log1p: 1.0ms (23.2% of total)

ival-mult!: 1.0ms (23.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	0.021456313975334054	0.14099746673260144

Samples

6.0ms	40×	1	valid
1.0ms	24×	0	valid

Compiler

Compiled 155 to 131 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 3.0ms (50.6% of total)

adjust: 1.0ms (16.9% of total)

ival-mult!: 1.0ms (16.9% of total)

ival-log1p: 1.0ms (16.9% of total)

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

derivations336.0ms (6%)

Memory

4.4MiB live, 238.4MiB allocated; 30ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 516 to 88 computations (82.9% saved)

preprocess152.0ms (2.7%)

Memory: -8.3MiB live, 225.1MiB allocated; 75ms collecting garbage
Remove: (negabs c)
Compiler: Compiled 1 567 to 634 computations (59.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze158.0ms (2.8%)

sample2.7s (47.4%)

preprocess94.0ms (1.7%)

series199.0ms (3.5%)

rewrite178.0ms (3.2%)

eval13.0ms (0.2%)

prune9.0ms (0.2%)

series204.0ms (3.6%)

rewrite155.0ms (2.7%)

eval20.0ms (0.4%)

prune25.0ms (0.4%)

series405.0ms (7.2%)

rewrite138.0ms (2.4%)

eval29.0ms (0.5%)

prune11.0ms (0.2%)

series163.0ms (2.9%)

rewrite141.0ms (2.5%)

eval17.0ms (0.3%)

prune22.0ms (0.4%)

regimes78.0ms (1.4%)

regimes50.0ms (0.9%)

regimes29.0ms (0.5%)

regimes5.0ms (0.1%)

regimes25.0ms (0.4%)

regimes11.0ms (0.2%)

regimes18.0ms (0.3%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.5%)

bsearch61.0ms (1.1%)

bsearch47.0ms (0.8%)

bsearch2.0ms (0%)

bsearch94.0ms (1.7%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.3%)

bsearch11.0ms (0.2%)

derivations336.0ms (6%)

preprocess152.0ms (2.7%)

end0.0ms (0%)

Profiling