Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample812.0ms (16.2%)

Memory

-1.5MiB live, 1 024.6MiB allocated; 245ms collecting garbage

Samples

537.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-exp: 125.0ms (35.9% of total)

ival->: 78.0ms (22.4% of total)

ival-div: 73.0ms (21% of total)

ival-expm1: 59.0ms (16.9% of total)

exact: 7.0ms (2% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain79.0ms (1.6%)

Memory

-22.1MiB live, 86.6MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
173	-	1	(0.01601744931072466)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	172	1

Confusion

	Predicted +	Predicted -
+	172	1
-	0	83

Precision

1.0

Recall

0.9942196531791907

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	172	1	0
-	0	0	83

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	84
1	172

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33.5% of total)

ival-exp: 4.0ms (33.5% of total)

ival-expm1: 3.0ms (25.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess179.0ms (3.6%)

Memory

14.6MiB live, 155.7MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	19
2	62	19
3	186	19
4	864	19
0	5	7
0	8	7
1	13	7
2	26	7
3	56	7
4	229	7
5	2069	7
6	6649	7
0	8741	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory

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

Counts

5 → 15

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

simplify147.0ms (2.9%)

Memory

15.6MiB live, 249.1MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	166	111
2	531	105
3	1940	105
4	5210	105
0	8080	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)

rewrite529.0ms (10.6%)

Memory

-144.5MiB live, 355.5MiB allocated; 686ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	30	15
2	177	15
3	1809	15
0	9626	11

Stop Event

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

Counts

5 → 486

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 3/2 binary64)))))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (expm1.f64 x))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 (exp.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 (exp.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (neg.f64 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))) (/.f64 (neg.f64 (exp.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)

eval73.0ms (1.5%)

Memory: 36.4MiB live, 127.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 15 626 to 1 854 computations (88.1% saved)

prune33.0ms (0.7%)

Memory

-17.7MiB live, 36.0MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	604	7	611
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	605	7	612

Accuracy

100.0%

Counts

612 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
▶	68.3%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	68.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 170 to 130 computations (23.5% saved)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

17 → 22

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))

Time

Variable

Point

Expression

1.0ms

-inf

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))

1.0ms

inf

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))

1.0ms

((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) -1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x) (+ 1 x))

simplify172.0ms (3.4%)

Memory

12.1MiB live, 196.0MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	154
1	222	148
2	681	140
3	2259	140
4	6540	140
0	8058	119

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

rewrite168.0ms (3.4%)

Memory

24.6MiB live, 298.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	31	91
1	111	91
2	754	91
0	8410	91

Stop Event

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

Counts

17 → 442

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)

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

eval145.0ms (2.9%)

Memory: -21.0MiB live, 271.7MiB allocated; 44ms collecting garbage
Compiler: Compiled 18 019 to 1 949 computations (89.2% saved)

prune19.0ms (0.4%)

Memory

12.6MiB live, 57.6MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	645	7	652
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	645	14	659

Accuracy

100.0%

Counts

659 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	34.3%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
▶	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
	35.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
✓	68.3%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
	34.9%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	34.3%	#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 346 to 258 computations (25.4% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

26 → 40

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/720 binary64)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 (pow x 2))
(pow x 3)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(exp (* -1 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)
2.0ms	x	@	inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)
2.0ms	x	@	0	((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)

Time

Variable

Point

Expression

2.0ms

-inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)

2.0ms

inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)

2.0ms

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) -2 (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) 3 -1/720 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ 1 x) -1/2)

simplify152.0ms (3%)

Memory

-15.1MiB live, 167.1MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	342
1	399	335
2	1289	317
3	5275	314
0	8219	284

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 (pow x 2))
(pow x 3)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(exp (* -1 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(.f64 (fma.f64 (-.f64 (.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)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (neg x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (exp x) 1)
(expm1.f64 x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (* -1 x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) (neg.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x) x)))

rewrite222.0ms (4.4%)

Memory

21.0MiB live, 408.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	143
0	46	141
1	157	138
2	1051	138
0	8513	138

Stop Event

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

Counts

26 → 496

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/720 binary64)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)

Outputs
(.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x))) x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (cosh.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)))
(fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (*.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(fma.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 (.f64 (cosh.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (cosh.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)))
(+.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)))
(+.f64 (cosh.f64 (.f64 (-.f64 (log.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x))) x) #s(literal -1 binary64))) (sinh.f64 (.f64 (-.f64 (log.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x))) x) #s(literal -1 binary64))))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x))) x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))) (-.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (expm1.f64 x) (cosh.f64 x)) (.f64 (expm1.f64 x) (cosh.f64 x))) (.f64 (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x))) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x))))) (-.f64 (.f64 (expm1.f64 x) (cosh.f64 x)) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))) (.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (expm1.f64 x) (cosh.f64 x)) (.f64 (expm1.f64 x) (cosh.f64 x)) (-.f64 (.f64 (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x))) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (.f64 (.f64 (expm1.f64 x) (cosh.f64 x)) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)))
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(+.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/12 binary64) x))))) (/.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/8 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))
#s(literal -1/2 binary64)

eval79.0ms (1.6%)

Memory: -0.8MiB live, 141.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 18 484 to 2 245 computations (87.9% saved)

prune29.0ms (0.6%)

Memory

-9.0MiB live, 34.6MiB allocated; 8ms collecting garbage

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	586	4	590
Fresh	2	2	4
Picked	2	3	5
Done	0	5	5
Total	590	14	604

Accuracy

100.0%

Counts

604 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	34.3%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
▶	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
▶	91.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	84.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
✓	68.3%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
▶	68.4%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Compiler

Compiled 339 to 253 computations (25.4% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series13.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

34 → 78

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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)
(fma.f64 (-.f64 (*.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))
(-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
-1/2
(- (* 1/6 x) 1/2)
(- (* x (+ 1/6 (* -1/24 x))) 1/2)
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
1/6
(+ 1/6 (* -1/24 x))
(* 1/12 x)
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 2) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/6 (* 1/2 (/ 1 x))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
1/2
(+ 1/2 (/ 1 x))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 2) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (- (* (+ (* -1/24 x) 1/6) x) 1/2) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) -1/24 x 1/6 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (- (* 1/6 x) 1/2) (* 1/6 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (- (/ 1 x) -1/2) (/ 1 x))

4.0ms

inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (- (* (+ (* -1/24 x) 1/6) x) 1/2) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) -1/24 x 1/6 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (- (* 1/6 x) 1/2) (* 1/6 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (- (/ 1 x) -1/2) (/ 1 x))

3.0ms

((/ 1 (* (exp (neg x)) (- (exp x) 1))) 1 (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (- (* (+ (* -1/24 x) 1/6) x) 1/2) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) -1/24 x 1/6 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (- (* 1/6 x) 1/2) (* 1/6 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (- (/ 1 x) -1/2) (/ 1 x))

simplify253.0ms (5.1%)

Memory

-27.3MiB live, 118.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	733
1	523	700
2	1704	678
3	5546	669
0	8044	631

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
-1/2
(- (* 1/6 x) 1/2)
(- (* x (+ 1/6 (* -1/24 x))) 1/2)
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
1/6
(+ 1/6 (* -1/24 x))
(* 1/12 x)
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 2) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/6 (* 1/2 (/ 1 x))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
1/2
(+ 1/2 (/ 1 x))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 2) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(.f64 (fma.f64 (-.f64 (.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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(fma.f64 (-.f64 (*.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))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 x) 1/2)
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
(- (* x (+ 1/6 (* -1/24 x))) 1/2)
(-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/24 x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/24 x))
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (neg x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(* -1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 #s(literal -1/24 binary64) x) x)
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x) x)
(* (pow x 2) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x)
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x)
(* x (- 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (* -1 x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64) #s(literal -1/24 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) (neg.f64 x))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x))))

rewrite235.0ms (4.7%)

Memory

5.9MiB live, 141.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	295
0	70	295
1	263	292
2	1825	292
0	8609	274

Stop Event

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

Counts

34 → 484

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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)
(fma.f64 (-.f64 (*.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))
(-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))))
(.f64 (pow.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))
(pow.f64 (.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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 (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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)
(.f64 x (fma.f64 (-.f64 (.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)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (.f64 (-.f64 (*.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))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 (-.f64 (*.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))))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (.f64 (-.f64 (*.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)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (-.f64 (*.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)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)))
(fma.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x)))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -1/720 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
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(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
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(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))

eval145.0ms (2.9%)

Memory: 25.2MiB live, 212.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 31 215 to 4 026 computations (87.1% saved)

prune42.0ms (0.8%)

Memory

-22.0MiB live, 80.2MiB allocated; 22ms collecting garbage

Pruning

28 alts after pruning (16 fresh and 12 done)

	Pruned	Kept	Total
New	847	15	862
Fresh	0	1	1
Picked	1	4	5
Done	0	8	8
Total	848	28	876

Accuracy

100.0%

Counts

876 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	34.3%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
	91.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	57.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	26.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))))
✓	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64)))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	93.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	93.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	58.6%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)) x)))
	92.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
✓	84.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	26.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
	28.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
	19.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
✓	68.3%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	35.6%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal -1/2 binary64))))
✓	68.4%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	68.3%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 1 349 to 666 computations (50.6% saved)

regimes27.0ms (0.5%)

Memory

14.0MiB live, 56.8MiB allocated; 4ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.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 (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

10.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms	x
7.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`(exp.f64 x)`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes55.0ms (1.1%)

Memory

-22.2MiB live, 70.0MiB allocated; 35ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.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 (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))

Outputs

(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))

#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Calls

3 calls:

25.0ms	(exp.f64 x)
22.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.2%	2	`(exp.f64 x)`
98.7%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.2%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.4%)

Memory

1.9MiB live, 50.0MiB allocated; 3ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.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 (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (-.f64 (*.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)))

Calls

3 calls:

7.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.7%	1	`(exp.f64 x)`
93.7%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

5.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.3%	1	`(exp.f64 x)`
93.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.3%)

Memory

-20.6MiB live, 25.9MiB allocated; 3ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
92.8%	1	`(exp.f64 x)`
92.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
92.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.3%	1	`(exp.f64 x)`
91.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory

-27.3MiB live, 18.8MiB allocated; 2ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)))

Outputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Calls

3 calls:

4.0ms	(exp.f64 x)
3.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
91.6%	2	`(exp.f64 x)`
91.6%	2	`x`
91.0%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 #s(approx (+ (* (- (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Calls

2 calls:

3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.6%	2	`x`
91.6%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes8.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
84.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
84.4%	1	`(exp.f64 x)`
84.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

-36.2MiB live, 15.0MiB allocated; 9ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Calls

3 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
84.3%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
84.9%	2	`(exp.f64 x)`
84.9%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
68.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
68.4%	1	`(exp.f64 x)`
68.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Calls

3 calls:

1.0ms	x
1.0ms	(exp.f64 x)
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 x)`
3.3%	1	`x`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 x)`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch12.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-53.43767348067532	-0.007378279928603695

Samples

6.0ms

128×

valid

Compiler

Compiled 290 to 232 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (28.6% of total)

ival-exp: 1.0ms (28.6% of total)

ival-expm1: 1.0ms (28.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.198880747648953e-24	0.9926488727576688

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.198880747648953e-24	0.9926488727576688

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch9.0ms (0.2%)

Memory

-37.1MiB live, 8.2MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-53.43767348067532	-0.007378279928603695

Samples

6.0ms

48×

valid

Compiler

Compiled 314 to 256 computations (18.5% saved)

Precisions

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

ival-exp: 1.0ms (74.9% of total)

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

simplify53.0ms (1.1%)

Memory

20.3MiB live, 63.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	353
1	148	350
2	220	342
3	461	342
4	2022	326

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 #s(approx (- ( (+ (* -1/24 x) 1/6) x) 1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x)) x)) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

derivations1.1s (22.4%)

Memory

19.7MiB live, 719.6MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	733
1	523	700
2	1704	678
3	5546	669
0	8044	631
0	123	342
1	399	335
2	1289	317
3	5275	314
0	8219	284
0	44	111
1	166	111
2	531	105
3	1940	105
4	5210	105
0	8080	87
0	5	15
0	8	15
1	30	15
2	177	15
3	1809	15
0	9626	11
0	60	154
1	222	148
2	681	140
3	2259	140
4	6540	140
0	8058	119

Stop Event

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

Compiler

Compiled 350 to 112 computations (68% saved)

preprocess79.0ms (1.6%)

Memory: 22.2MiB live, 109.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 726 to 246 computations (66.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample812.0ms (16.2%)

explain79.0ms (1.6%)

preprocess179.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify147.0ms (2.9%)

rewrite529.0ms (10.6%)

eval73.0ms (1.5%)

prune33.0ms (0.7%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify172.0ms (3.4%)

rewrite168.0ms (3.4%)

eval145.0ms (2.9%)

prune19.0ms (0.4%)

simplify0.0ms (0%)

series7.0ms (0.1%)

simplify152.0ms (3%)

rewrite222.0ms (4.4%)

eval79.0ms (1.6%)

prune29.0ms (0.6%)

simplify0.0ms (0%)

series13.0ms (0.3%)

simplify253.0ms (5.1%)

rewrite235.0ms (4.7%)

eval145.0ms (2.9%)

prune42.0ms (0.8%)

regimes27.0ms (0.5%)

regimes55.0ms (1.1%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.2%)

simplify53.0ms (1.1%)

derivations1.1s (22.4%)

preprocess79.0ms (1.6%)

end0.0ms (0%)

Profiling