Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample705.0ms (12.4%)

Memory

13.8MiB live, 955.7MiB allocated; 193ms collecting garbage

Samples

459.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-expm1: 89.0ms (30.5% of total)

ival-div: 81.0ms (27.7% of total)

ival-exp: 75.0ms (25.7% of total)

ival->: 32.0ms (11% of total)

exact: 8.0ms (2.7% of total)

ival-assert: 4.0ms (1.4% of total)

adjust: 3.0ms (1% of total)

Bogosity

explain111.0ms (2%)

Memory

-15.9MiB live, 127.6MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
174	-	1	(-0.011755959199718977)	`(-.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	173	1

Confusion

	Predicted +	Predicted -
+	173	1
-	0	82

Precision

1.0

Recall

0.9942528735632183

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	173	1	0
-	0	0	82

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	83
1	173

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-expm1: 15.0ms (61.7% of total)

ival-div: 4.0ms (16.5% of total)

ival-exp: 4.0ms (16.5% 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)

preprocess505.0ms (8.9%)

Memory

-16.3MiB live, 224.5MiB allocated; 748ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify133.0ms (2.3%)

Memory

-48.8MiB live, 159.8MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff	2	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	26	15
3	56	15
4	229	15
5	2069	15
6	6649	15
0	8741	11

Stop Event

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

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

localize16.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.015625	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	39.66035545554798	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-exp: 2.0ms (34% of total)

ival-expm1: 1.0ms (17% 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)

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

Outputs
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 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))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))
1.0ms	x	@	-inf	((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))
0.0ms	x	@	0	((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))

simplify135.0ms (2.4%)

Memory

26.6MiB live, 112.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
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 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))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

Outputs
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 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))
(- (exp x) 1)
(expm1.f64 x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)

rewrite189.0ms (3.3%)

Memory

-27.5MiB live, 164.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9

Stop Event

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

Counts

3 → 466

Calls

Call 1

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

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

eval99.0ms (1.7%)

Memory: 7.0MiB live, 101.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 14 895 to 1 739 computations (88.3% saved)

prune11.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	565	7	572
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	565	8	573

Accuracy

100.0%

Counts

573 → 8

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)))
▶	34.9%	(/.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)))
	68.7%	#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)))))
▶	68.7%	#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))))
▶	68.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 177 to 135 computations (23.7% saved)

simplify109.0ms (1.9%)

Memory

-24.0MiB live, 110.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	#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))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	1	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	37	125
1	55	122
2	101	121
3	275	121
4	1753	121
0	8827	121

Stop Event

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

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

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.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)
x
#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))
(/.f64 #s(literal 1 binary64) x)
#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))))
(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)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

localize77.0ms (1.4%)

Memory

2.0MiB live, 57.0MiB allocated; 9ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.015625	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	20.425709514848965	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	39.66035545554798	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.109375	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	20.04295885300034	#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))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	20.199931479854918	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	20.32166157959778	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
accuracy	0.01953125	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))

Samples

54.0ms

256×

valid

Compiler

Compiled 109 to 18 computations (83.5% saved)

Precisions

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

ival-div: 5.0ms (22% of total)

ival-exp: 4.0ms (17.6% of total)

const: 4.0ms (17.6% of total)

ival-mult: 3.0ms (13.2% of total)

ival-add: 2.0ms (8.8% of total)

ival-expm1: 2.0ms (8.8% of total)

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

ival-neg: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

15 → 34

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.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)))
(-.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))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 x)
(-.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))
(expm1.f64 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 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(/ (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)))))
(exp x)
(- (exp x) 1)
(/ 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)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (exp x) (- (exp x) 1))
2.0ms	x	@	inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (exp x) (- (exp x) 1))
1.0ms	x	@	0	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (exp x) (- (exp x) 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify174.0ms (3.1%)

Memory

19.7MiB live, 151.3MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	250
1	318	249
2	933	234
3	3165	234
0	8503	199

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

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

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)
(+ 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 (+ 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 (* (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) (- (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)))
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 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))

rewrite211.0ms (3.7%)

Memory

-6.5MiB live, 241.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	37	98
1	127	95
2	850	94
0	8504	94

Stop Event

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

Counts

15 → 429

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(.f64 (exp.f64 x) (.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 (expm1.f64 x) (exp.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(/.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) (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) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.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 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #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 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 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 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (exp.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) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.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)))
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eval74.0ms (1.3%)

Memory: -17.7MiB live, 72.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 731 to 1 685 computations (87.7% saved)

prune14.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	513	8	521
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	514	15	529

Accuracy

100.0%

Counts

529 → 15

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)))
✓	34.9%	(/.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))
▶	91.4%	(/.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)))
▶	89.3%	(/.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)))
	82.7%	(/.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)))
	68.7%	#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)))))
	33.4%	#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)))))
✓	68.7%	#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))))
▶	2.7%	#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))))
✓	68.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	68.7%	#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 436 to 327 computations (25% saved)

simplify132.0ms (2.3%)

Memory

-18.6MiB live, 76.7MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(/.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)))
cost-diff	0	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#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))
cost-diff	0	(/.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)))
cost-diff	0	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
cost-diff	0	#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))))
cost-diff	0	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	222
0	55	222
1	78	222
2	148	218
3	363	218
4	1639	218
0	8274	218

Stop Event

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

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)) #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)
x
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 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(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))
(.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(literal 1/6 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)))
#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)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.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)
x
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 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(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))
(.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(literal 1/6 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)))
#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)

localize79.0ms (1.4%)

Memory

15.6MiB live, 61.2MiB allocated; 4ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.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)
accuracy	0.1171875	(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.26953125	(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	5.491561896447152	#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))
accuracy	0.0390625	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.04296875	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	6.832436482100744	#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))
accuracy	0.109375	(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	20.04295885300034	#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))))
accuracy	42.905601037122096	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	20.199931479854918	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	42.905601037122096	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.015625	(/.f64 (exp.f64 x) (expm1.f64 x))

Samples

62.0ms

256×

valid

Compiler

Compiled 175 to 32 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 13.0ms (30.1% of total)

const: 9.0ms (20.8% of total)

ival-div: 5.0ms (11.6% of total)

ival-add: 4.0ms (9.3% of total)

ival-exp: 4.0ms (9.3% of total)

ival-sub: 4.0ms (9.3% of total)

ival-expm1: 2.0ms (4.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

18 → 62

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 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(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)))
(/.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 #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(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 #s(literal 1/6 binary64) x)
(*.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))

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify146.0ms (2.6%)

Memory

-16.5MiB live, 73.4MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	567
1	484	546
2	1549	522
3	5790	515
0	8556	468

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

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

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

rewrite210.0ms (3.7%)

Memory

18.1MiB live, 155.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	188
0	55	188
1	188	188
2	1242	188
0	8348	188

Stop Event

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

Counts

18 → 345

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 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(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)))
(/.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 #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(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 #s(literal 1/6 binary64) x)
(*.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))

Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 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 (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (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 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 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 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x 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 x #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 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 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.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)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
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eval70.0ms (1.2%)

Memory: 6.8MiB live, 105.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 15 914 to 2 067 computations (87% saved)

prune19.0ms (0.3%)

Memory

-4.8MiB live, 40.9MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	391	8	399
Fresh	2	3	5
Picked	0	5	5
Done	0	5	5
Total	393	21	414

Accuracy

100.0%

Counts

414 → 21

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)))
✓	34.9%	(/.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))
	91.4%	(/.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)))
✓	91.4%	(/.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)))
▶	91.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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)))
▶	90.9%	(/.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)))
✓	89.3%	(/.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)))
	82.7%	(/.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)))
	72.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) x)))
	28.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
▶	26.2%	(/.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)))
	24.6%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
▶	68.7%	#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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	68.7%	#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)))))
✓	68.7%	#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))))
✓	2.7%	#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))))
✓	68.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
▶	3.2%	#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 773 to 537 computations (30.5% saved)

simplify119.0ms (2.1%)

Memory

-18.5MiB live, 125.1MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(/.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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
cost-diff	0	(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)))
cost-diff	0	#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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (+ (* (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
cost-diff	0	#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))
cost-diff	0	(/.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)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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)))
cost-diff	1	(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
cost-diff	1	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)))
cost-diff	2	(.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	517
0	89	499
1	153	499
2	349	493
3	972	493
4	3268	481
0	8156	448

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (2.9%)

Memory

46.2MiB live, 274.1MiB allocated; 57ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x)
accuracy	0.33984375	(*.f64 #s(literal -1/24 binary64) x)
accuracy	5.491561896447152	#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))
accuracy	42.4720094314689	#s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0390625	(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)))
accuracy	0.7038870833773199	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy	20.053951348072097	#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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy	0.078125	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	6.832436482100744	#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))
accuracy	42.3356190372464	#s(approx (+ (* (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.33984375	(*.f64 #s(literal 1/12 binary64) x)
accuracy	20.04295885300034	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	42.60246464189636	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0.26953125	(.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x)
accuracy	0.33984375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	5.491561896447152	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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))
accuracy	8.057130267373342	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))

Samples

130.0ms

256×

valid

Compiler

Compiled 338 to 51 computations (84.9% saved)

Precisions

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

ival-mult: 46.0ms (43.5% of total)

ival-div: 17.0ms (16.1% of total)

const: 17.0ms (16.1% of total)

ival-add: 9.0ms (8.5% of total)

ival-exp: 7.0ms (6.6% of total)

ival-sub: 6.0ms (5.7% of total)

ival-expm1: 2.0ms (1.9% of total)

ival-neg: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

-21.0MiB live, 24.9MiB allocated; 5ms collecting garbage

Counts

28 → 72

Calls

Call 1

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

Outputs
(* 1/576 (pow x 2))
1/36
(+ 1/36 (* -1/576 (pow x 2)))
1/6
(+ 1/6 (* 1/24 x))
(/ 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)
(* 1/12 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)))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(+ 1/6 (* -1/24 x))
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
(* 1/6 (pow x 2))
(* -1/24 x)
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (exp (neg x)) (- (exp x) 1))
(* 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))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 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))
(* -1/24 (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)))))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* (exp (* -1 x)) (- (exp x) 1))
(* -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 (* (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))))))
(* (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)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((* (* 1/24 x) (* 1/24 x)) (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x)) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ 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) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) (/ 1 (* (exp (neg x)) (- (exp x) 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) (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) (* (exp (neg x)) (- (exp x) 1)) (* 1/24 x) (* (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -1/24 x) 1/6) (* -1/24 x) (* (+ (* -1/24 x) 1/6) x))

4.0ms

inf

((* (* 1/24 x) (* 1/24 x)) (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x)) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ 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) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) (/ 1 (* (exp (neg x)) (- (exp x) 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) (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) (* (exp (neg x)) (- (exp x) 1)) (* 1/24 x) (* (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -1/24 x) 1/6) (* -1/24 x) (* (+ (* -1/24 x) 1/6) x))

4.0ms

-inf

((* (* 1/24 x) (* 1/24 x)) (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x)) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ 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) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (- (/ 1 x) -1/2)) (+ (* (* x x) -1/720) 1/12) (* x x) (/ 1 (* (exp (neg x)) (- (exp x) 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) (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) (* (exp (neg x)) (- (exp x) 1)) (* 1/24 x) (* (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -1/24 x) 1/6) (* -1/24 x) (* (+ (* -1/24 x) 1/6) x))

simplify131.0ms (2.3%)

Memory

21.4MiB live, 158.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	674
1	532	645
2	1730	624
3	5661	615
0	8148	577

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* 1/576 (pow x 2))
1/36
(+ 1/36 (* -1/576 (pow x 2)))
1/6
(+ 1/6 (* 1/24 x))
(/ 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)
(* 1/12 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)))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(+ 1/6 (* -1/24 x))
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
(* 1/6 (pow x 2))
(* -1/24 x)
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (exp (neg x)) (- (exp x) 1))
(* 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))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 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))
(* -1/24 (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)))))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* (exp (* -1 x)) (- (exp x) 1))
(* -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 (* (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))))))
(* (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)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))

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

rewrite173.0ms (3%)

Memory

-5.6MiB live, 225.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	411
0	89	399
1	337	367
2	2406	367
0	8107	334

Stop Event

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

Counts

28 → 483

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) x))) (neg.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x))))
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/24 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) x)) #s(literal 1/24 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/576 binary64) x)) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/576 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 x #s(literal 1/576 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/24 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/24 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) x) #s(literal -1/24 binary64))
(.f64 (.f64 #s(literal 1/576 binary64) x) x)
(.f64 (.f64 #s(literal 1/576 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) x)) (neg.f64 (*.f64 #s(literal -1/24 binary64) x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))
(.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 #s(literal -1/24 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 x (fabs.f64 (.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/24 binary64) x))))
(.f64 x (fabs.f64 (.f64 x #s(literal 1/576 binary64))))
(.f64 x (.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/24 binary64) x)))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 #s(literal 1/24 binary64) (fabs.f64 (.f64 x (*.f64 #s(literal -1/24 binary64) x))))
(.f64 #s(literal 1/24 binary64) (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) x)) #s(literal 2 binary64)))
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(-.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x (.f64 #s(literal 1/144 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x (*.f64 #s(literal 1/144 binary64) x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
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(-.f64 (/.f64 #s(literal 1/46656 binary64) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.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))))
(-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) x)) (*.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal -1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal -1/144 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal -1/144 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal -1/144 binary64))))))
(+.f64 (/.f64 #s(literal 1/1296 binary64) (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal -1/576 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) x)) (*.f64 #s(literal -1/24 binary64) x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 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))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/24 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -1/24 binary64) x) x)) (sqrt.f64 #s(literal -1/24 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/576 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/576 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1/24 binary64) x)))
(.f64 (sqrt.f64 #s(literal -1/24 binary64)) (sqrt.f64 (.f64 x (*.f64 #s(literal -1/24 binary64) x))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/24 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/24 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/576 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 1/24 binary64)))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/24 binary64) x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/576 binary64))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x)))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) x))
(fabs.f64 (*.f64 x #s(literal 1/24 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))))
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(/.f64 (.f64 (+.f64 #s(literal -1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal -1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x)) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x))
(*.f64 #s(literal -1/24 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (neg.f64 x))
(neg.f64 (*.f64 x #s(literal 1/24 binary64)))
(.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x)
(.f64 x #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)))

eval114.0ms (2%)

Memory: -9.3MiB live, 133.5MiB allocated; 56ms collecting garbage
Compiler: Compiled 24 878 to 3 943 computations (84.2% saved)

prune27.0ms (0.5%)

Memory

6.5MiB live, 52.5MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	592	4	596
Fresh	1	5	6
Picked	2	3	5
Done	0	10	10
Total	595	22	617

Accuracy

100.0%

Counts

617 → 22

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)))
✓	34.9%	(/.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))
	91.4%	(/.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)))
✓	91.4%	(/.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)))
	93.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 x)) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	89.3%	(/.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)))
	90.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	82.7%	(/.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)))
	72.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) x)))
	28.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
	26.2%	(/.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 x x) #s(literal 1/6 binary64))) x)))
✓	26.2%	(/.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)))
	24.6%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
✓	68.7%	#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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	68.7%	#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))))
✓	2.7%	#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))))
✓	68.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	68.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	68.7%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 1 146 to 536 computations (53.2% saved)

regimes19.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

28 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.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 (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 (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 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Calls

3 calls:

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

regimes25.0ms (0.4%)

Memory

-16.4MiB live, 28.6MiB allocated; 7ms 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.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 (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 (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)))

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

Calls

3 calls:

14.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(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)

regimes21.0ms (0.4%)

Memory

-29.9MiB live, 26.3MiB allocated; 6ms collecting garbage

Counts

25 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.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 (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 (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 (/ (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)))))

Calls

3 calls:

8.0ms	(exp.f64 x)
7.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.7%	2	`(exp.f64 x)`
98.5%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.7%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

23 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.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 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))

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

2 calls:

6.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.7%	2	`(exp.f64 x)`
99.7%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes16.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

22 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.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 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #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 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 (* 1/24 x)) #s(literal 1/6 binary64))) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.1%	1	`(exp.f64 x)`
93.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.4%)

Memory

-29.9MiB live, 16.6MiB allocated; 3ms collecting garbage

Counts

19 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 (-.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 (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)))

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:

13.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.4%	1	`(exp.f64 x)`
91.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

17 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (-.f64 #s(approx (* (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.9%	1	`(exp.f64 x)`
90.9%	1	`x`
90.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

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

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
91.6%	2	`(exp.f64 x)`
89.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.6%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.3%)

Memory

-35.4MiB live, 11.1MiB allocated; 3ms collecting garbage

Counts

13 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x 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))))
#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 (/.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 (-.f64 (.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
89.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
89.3%	1	`(exp.f64 x)`
89.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.2%)

Memory

15.5MiB live, 15.4MiB 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))

Outputs

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

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
89.6%	2	`x`
89.6%	2	`(exp.f64 x)`
89.6%	3	`(/.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

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

9 → 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 (fma.f64 #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 (.f64 x x) #s(literal 1/6 binary64))) 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
89.6%	2	`x`
89.6%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

7 → 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 (fma.f64 #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
82.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
82.7%	1	`(exp.f64 x)`
82.7%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

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
68.7%	1	`x`
68.7%	1	`(exp.f64 x)`
68.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.2%)

Memory

-35.2MiB live, 10.2MiB allocated; 4ms collecting garbage

Counts

5 → 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)))

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

Calls

3 calls:

2.0ms	x
2.0ms	(exp.f64 x)
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

4 → 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))

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

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
68.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
68.2%	1	`(exp.f64 x)`
68.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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:

2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.2%	1	`(exp.f64 x)`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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
3.0%	1	`(exp.f64 x)`
3.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch14.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-59106.32947976298	-0.011755959199718977

Samples

7.0ms

144×

valid

Compiler

Compiled 298 to 242 computations (18.8% saved)

Precisions

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

ival-exp: 2.0ms (48.9% of total)

ival-div: 1.0ms (24.5% of total)

ival-expm1: 1.0ms (24.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-59106.32947976298	-0.011755959199718977

Compiler

Compiled 325 to 260 computations (20% saved)

bsearch14.0ms (0.2%)

Memory

-42.7MiB live, 7.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-59106.32947976298	-0.011755959199718977

Samples

5.0ms

96×

valid

Compiler

Compiled 541 to 422 computations (22% saved)

Precisions

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

ival-div: 1.0ms (36.6% of total)

ival-exp: 1.0ms (36.6% of total)

ival-expm1: 1.0ms (36.6% 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

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9883128720986221

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9883128720986221

Compiler

Compiled 9 to 9 computations (0% saved)

simplify55.0ms (1%)

Memory

5.3MiB live, 49.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	468
1	206	462
2	376	454
3	949	454
4	3605	454

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 (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))))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) 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 (-.f64 (.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 0 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 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 0 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)))
#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 (/.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 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 (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))))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 -4278419646001971/1125899906842624 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 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) #s(approx (+ 1/6 ( 1/24 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 (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 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #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 #s(approx ( (/ (- 1/36 (* (* 1/24 x) (* 1/24 x))) (+ 1/6 (* 1/24 x))) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) 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)))))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) 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 #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 #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 0 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 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 0 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 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 0 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 0 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))
#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)) (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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.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)))

derivations1.3s (23%)

Memory

22.1MiB live, 723.3MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	674
1	532	645
2	1730	624
3	5661	615
0	8148	577
0	151	567
1	484	546
2	1549	522
3	5790	515
0	8556	468
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87
0	35	188
0	55	188
1	188	188
2	1242	188
0	8348	188
0	93	250
1	318	249
2	933	234
3	3165	234
0	8503	199

Stop Event

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

Compiler

Compiled 462 to 137 computations (70.3% saved)

preprocess103.0ms (1.8%)

Memory: 23.1MiB live, 112.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 950 to 296 computations (68.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample705.0ms (12.4%)

explain111.0ms (2%)

preprocess505.0ms (8.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (2.3%)

localize16.0ms (0.3%)

series2.0ms (0%)

simplify135.0ms (2.4%)

rewrite189.0ms (3.3%)

eval99.0ms (1.7%)

prune11.0ms (0.2%)

simplify109.0ms (1.9%)

localize77.0ms (1.4%)

series6.0ms (0.1%)

simplify174.0ms (3.1%)

rewrite211.0ms (3.7%)

eval74.0ms (1.3%)

prune14.0ms (0.2%)

simplify132.0ms (2.3%)

localize79.0ms (1.4%)

series8.0ms (0.1%)

simplify146.0ms (2.6%)

rewrite210.0ms (3.7%)

eval70.0ms (1.2%)

prune19.0ms (0.3%)

simplify119.0ms (2.1%)

localize168.0ms (2.9%)

series14.0ms (0.3%)

simplify131.0ms (2.3%)

rewrite173.0ms (3%)

eval114.0ms (2%)

prune27.0ms (0.5%)

regimes19.0ms (0.3%)

regimes25.0ms (0.4%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes16.0ms (0.3%)

regimes23.0ms (0.4%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes18.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch2.0ms (0%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (1%)

derivations1.3s (23%)

preprocess103.0ms (1.8%)

end0.0ms (0%)

Profiling