Metrics for expq2 (section 3.11)

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

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)

sample555.0ms (6.8%)

Memory

41.7MiB live, 697.7MiB allocated

Samples

399.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-exp: 73.0ms (33% of total)

ival-div: 59.0ms (26.6% of total)

ival-expm1: 59.0ms (26.6% of total)

ival->: 20.0ms (9% of total)

exact: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess84.0ms (1%)

Memory

-9.0MiB live, 35.7MiB allocated

Algorithm

2×	egg-herbie

Rules

1 938×	`div-sub`
768×	`sub-neg`
640×	`cube-prod`
488×	`exp-diff`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	25	26
2	46	25
3	82	25
4	135	19
5	245	19
6	368	19
7	722	19
8	1507	19
9	2615	19
10	3399	19
11	4082	19
12	4886	19
13	6419	19
0	5	7
1	10	7
2	11	7
0	11	5

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain74.0ms (0.9%)

Memory

-4.6MiB live, 109.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	158	0

Confusion

	Predicted +	Predicted -
+	158	0
-	0	98

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	158	0	0
-	0	0	98

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	98
1	158

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-div: 4.0ms (33.7% of total)

ival-exp: 4.0ms (33.7% of total)

ival-expm1: 3.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.7%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`accelerator-lowering-expm1.f32`
2×	`exp-lowering-exp.f32`
2×	`accelerator-lowering-expm1.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	10	15
2	11	15
0	11	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	42.1%	(-.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 (35.9% of total)

ival-exp: 2.0ms (35.9% of total)

ival-expm1: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-47.6MiB live, 3.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (exp x) 1)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (exp x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	0	(- (exp x) 1)
0.0ms	x	@	0	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	inf	(- (exp x) 1)

rewrite336.0ms (4.1%)

Memory

32.8MiB live, 453.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`/-lowering-/.f32`
5 384×	`/-lowering-/.f64`
3 398×	`accelerator-lowering-fma.f32`
3 398×	`accelerator-lowering-fma.f64`
3 144×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 351

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x)))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 1 binary64)))

simplify344.0ms (4.2%)

Memory

29.9MiB live, 425.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
4 444×	`-lowering-.f32`
4 444×	`-lowering-.f64`
1 914×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

eval56.0ms (0.7%)

Memory: -25.2MiB live, 86.9MiB allocated
Compiler: Compiled 9 932 to 1 201 computations (87.9% saved)

prune52.0ms (0.6%)

Memory

5.7MiB live, 117.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	406	8	414
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	8	415

Accuracy

100.0%

Counts

415 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	62.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	100.0%	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.6%	(/.f64 (exp.f64 x) x)
▶	63.5%	(/.f64 #s(literal 1 binary64) x)
	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))

Compiler

Compiled 126 to 88 computations (30.2% saved)

simplify629.0ms (7.8%)

Memory

34.4MiB live, 796.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) x)
✓	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 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(exp.f64 (+.f64 x x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
✓	cost-diff	6976	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))

Rules

25 986×	`accelerator-lowering-fma.f32`
25 986×	`accelerator-lowering-fma.f64`
3 030×	`-lowering-.f32`
3 030×	`-lowering-.f64`
2 560×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	32	91
2	47	91
3	67	81
4	125	77
5	191	77
6	532	77
7	2825	77
8	6080	77
0	8169	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize64.0ms (0.8%)

Memory

-33.7MiB live, 88.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(exp.f64 (+.f64 x x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
✓	accuracy	100.0%	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))

Samples

42.0ms

256×

valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (42% of total)

const: 5.0ms (16.1% of total)

ival-add: 4.0ms (12.9% of total)

ival-exp: 4.0ms (12.9% of total)

ival-expm1: 3.0ms (9.7% of total)

ival-mult: 2.0ms (6.5% 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

8.5MiB live, 8.5MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/ (+ (exp x) (exp (+ x x))) (- (exp (+ x x)) 1))>
#<alt (+ (exp x) (exp (+ x x)))>
#<alt (exp x)>
#<alt (exp (+ x x))>
#<alt (/ 1 x)>
#<alt (+ (* x 1/12) (+ (/ 1 x) 1/2))>
#<alt (+ (/ 1 x) 1/2)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (- (exp x) 1)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))>
#<alt (/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))>
#<alt (/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))>
#<alt (/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))>
#<alt (/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))>
#<alt (/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))>
#<alt (/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))>
#<alt (/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))>
#<alt 2>
#<alt (+ 2 (* 3 x))>
#<alt (+ 2 (* x (+ 3 (* 5/2 x))))>
#<alt (+ 2 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))>
#<alt (+ (exp x) (exp (* 2 x)))>
#<alt (+ (exp x) (exp (* 2 x)))>
#<alt (+ (exp x) (exp (* 2 x)))>
#<alt (+ (exp x) (exp (* 2 x)))>
#<alt (+ (exp x) (exp (neg (* -2 x))))>
#<alt (+ (exp x) (exp (neg (* -2 x))))>
#<alt (+ (exp x) (exp (neg (* -2 x))))>
#<alt (+ (exp x) (exp (neg (* -2 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>

Calls

30 calls:

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

rewrite78.0ms (1%)

Memory

18.7MiB live, 95.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

528×	`accelerator-lowering-fma.f32`
528×	`accelerator-lowering-fma.f64`
502×	`/-lowering-/.f32`
502×	`/-lowering-/.f64`
430×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	119	59
0	986	52

Stop Event

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

Counts

10 → 153

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (exp.f64 (.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x)))) (*.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (-.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))

simplify337.0ms (4.2%)

Memory

18.8MiB live, 407.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
3 244×	`-lowering-.f32`
3 244×	`-lowering-.f64`
1 992×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	826
1	277	826
2	607	806
3	1519	782
4	2715	670
5	4828	670
0	8137	574

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
2
(+ 2 (* 3 x))
(+ 2 (* x (+ 3 (* 5/2 x))))
(+ 2 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(+ (exp x) (exp (* 2 x)))
(+ (exp x) (exp (* 2 x)))
(+ (exp x) (exp (* 2 x)))
(+ (exp x) (exp (* 2 x)))
(+ (exp x) (exp (neg (* -2 x))))
(+ (exp x) (exp (neg (* -2 x))))
(+ (exp x) (exp (neg (* -2 x))))
(+ (exp x) (exp (neg (* -2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (* 2 x))) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (+ (exp x) (exp (neg (* -2 x)))) (- (exp (neg (* -2 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
2
#s(literal 2 binary64)
(+ 2 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))
(+ 2 (* x (+ 3 (* 5/2 x))))
(fma.f64 x (fma.f64 x #s(literal 5/2 binary64) #s(literal 3 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3/2 binary64) #s(literal 5/2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (* 2 x)))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (* 2 x)))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (* 2 x)))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (* 2 x)))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (neg (* -2 x))))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (neg (* -2 x))))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (neg (* -2 x))))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
(+ (exp x) (exp (neg (* -2 x))))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #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)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) x)))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/12 binary64) (/.f64 #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 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) 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)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)

eval35.0ms (0.4%)

Memory: -16.1MiB live, 60.0MiB allocated
Compiler: Compiled 3 797 to 481 computations (87.3% saved)

prune33.0ms (0.4%)

Memory

7.9MiB live, 57.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	320	5	325
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	321	12	333

Accuracy

100.0%

Counts

333 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	3.0%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
▶	3.3%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
▶	62.8%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) x)
✓	63.5%	(/.f64 #s(literal 1 binary64) x)
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	62.9%	(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))

Compiler

Compiled 160 to 115 computations (28.1% saved)

simplify21.0ms (0.3%)

Memory

-16.5MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	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 x #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(expm1.f64 (neg.f64 x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
280×	`+-lowering-+.f64`
280×	`+-lowering-+.f32`
144×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	58	112
2	121	112
3	216	112
4	286	112
5	348	112
6	407	112
7	426	112
8	428	112
0	428	97

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (- (exp (neg x)) 1))
-1
(- (exp (neg x)) 1)
(neg x)
x
(+ (* x 1/12) 0)
x
1/12
0
(+ (/ 1 x) 1/2)
(/ 1 x)
1
x
1/2
(+ (+ (* x 1/12) 1/2) (/ 1 x))
(+ (* x 1/12) 1/2)
x
1/12
1/2
(/ 1 x)
1
(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)
(+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1)
x
(+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)
(+ (* x (* x -1/720)) 1/12)
(* x -1/720)
-1/720
1/12
1/2
1

Outputs
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
-1
#s(literal -1 binary64)
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(+ (* x 1/12) 0)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
x
1/12
#s(literal 1/12 binary64)
0
#s(literal 0 binary64)
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/2
#s(literal 1/2 binary64)
(+ (+ (* x 1/12) 1/2) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(+ (* x 1/12) 1/2)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
x
1/12
#s(literal 1/12 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+ (* x (* x -1/720)) 1/12)
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* x -1/720)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
-1/720
#s(literal -1/720 binary64)
1/12
#s(literal 1/12 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)

localize77.0ms (1%)

Memory

7.2MiB live, 124.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/720 binary64))
✓	accuracy	97.8%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(expm1.f64 (neg.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Samples

49.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 100 to 26 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 8.0ms (25.1% of total)

ival-mult: 7.0ms (21.9% of total)

const: 6.0ms (18.8% of total)

ival-div: 5.0ms (15.7% of total)

ival-expm1: 2.0ms (6.3% of total)

ival-neg: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (neg x)>
#<alt (+ (* x 1/12) 0)>
#<alt (+ (/ 1 x) 1/2)>
#<alt (/ 1 x)>
#<alt (+ (+ (* x 1/12) 1/2) (/ 1 x))>
#<alt (+ (* x 1/12) 1/2)>
#<alt (/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)>
#<alt (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1)>
#<alt (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)>
#<alt (+ (* x (* x -1/720)) 1/12)>
#<alt (* x -1/720)>

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)
1.0ms	x	@	inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	-inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	-inf	(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)
0.0ms	x	@	inf	(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)

rewrite575.0ms (7.1%)

Memory

7.1MiB live, 594.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 634×	`accelerator-lowering-fma.f32`
5 634×	`accelerator-lowering-fma.f64`
4 928×	`-lowering-.f32`
4 928×	`-lowering-.f64`
4 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	92
1	166	92
2	1583	92
0	8617	77

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 903

Calls

Call 1

Inputs
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(neg x)
(+ (* x 1/12) 0)
(+ (/ 1 x) 1/2)
(/ 1 x)
(+ (+ (* x 1/12) 1/2) (/ 1 x))
(+ (* x 1/12) 1/2)
(/ (+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1) x)
(+ (* x (+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)) 1)
(+ (* x (+ (* x (* x -1/720)) 1/12)) 1/2)
(+ (* x (* x -1/720)) 1/12)
(* x -1/720)

Outputs
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))))
(pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
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(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

simplify397.0ms (4.9%)

Memory

16.6MiB live, 249.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 170×	`accelerator-lowering-fma.f32`
10 170×	`accelerator-lowering-fma.f64`
3 050×	`-lowering-.f32`
3 050×	`-lowering-.f64`
1 698×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1051
1	257	1050
2	715	1010
3	2189	973
4	6273	903
0	8342	795

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 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)
(* -1/720 (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 3))
(* -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))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* -1/720 (pow x 3))
(* -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 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 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)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 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 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #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)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1/720 (pow x 4))
(.f64 x (fma.f64 x (.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(.f64 (.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -1/720 (pow x 4))
(.f64 x (fma.f64 x (.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(.f64 (.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))

eval191.0ms (2.4%)

Memory: 4.2MiB live, 153.1MiB allocated
Compiler: Compiled 26 901 to 2 449 computations (90.9% saved)

prune650.0ms (8%)

Memory

-133.8MiB live, 176.5MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 078	7	1 085
Fresh	0	3	3
Picked	1	4	5
Done	0	4	4
Total	1 079	18	1 097

Accuracy

100.0%

Counts

1 097 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	3.0%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	62.8%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
▶	63.2%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) x)
✓	63.5%	(/.f64 #s(literal 1 binary64) x)
▶	91.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
▶	88.8%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	81.3%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	62.9%	(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	62.8%	(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	3.3%	(*.f64 x #s(literal 1/12 binary64))
▶	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 252 to 176 computations (30.2% saved)

simplify375.0ms (4.6%)

Memory

27.2MiB live, 261.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Rules

5 920×	`accelerator-lowering-fma.f32`
5 920×	`accelerator-lowering-fma.f64`
1 568×	`-lowering-.f32`
1 568×	`-lowering-.f64`
880×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	132
1	75	132
2	174	132
3	314	132
4	490	132
5	672	132
6	1215	132
7	2410	132
8	3554	132
9	4213	132
10	4457	132
11	4565	132
12	4773	130
13	5189	130
14	5410	130
15	5424	130
16	5435	130
17	5442	130
18	5445	130
19	5446	130
20	5630	130
21	5722	130
22	5722	130
23	5734	130
0	5734	109

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
x
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
0
1/2
(+ (* x 1/12) 1/2)
x
1/12
1/2
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
x
1/2
1
(/ -1 (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0)
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
1/2
0

Outputs
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ (* x 1/24) -1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
1/24
#s(literal 1/24 binary64)
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* x 1/12) 1/2)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
x
1/12
#s(literal 1/12 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* x 1/2) 1) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* x 1/2) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(/ -1 (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x -1/6) 1/2)
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)

localize92.0ms (1.1%)

Memory

-7.0MiB live, 149.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))

Samples

54.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 116 to 31 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 13.0ms (33.8% of total)

ival-add: 10.0ms (26% of total)

const: 9.0ms (23.4% of total)

ival-div: 5.0ms (13% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))>
#<alt (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)>
#<alt (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)>
#<alt (+ (* x (+ (* x 1/24) -1/6)) 1/2)>
#<alt (+ (* x 1/12) 1/2)>
#<alt (/ (+ (* x 1/2) 1) x)>
#<alt (+ (* x 1/2) 1)>
#<alt (/ -1 (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0))>
#<alt (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0)>
#<alt (+ (* x (+ (* x -1/6) 1/2)) -1)>
#<alt (+ (* x -1/6) 1/2)>
#<alt (+ (* x 1/24) -1/6)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/24 x)))))) x)>
#<alt (/ 6 (pow x 3))>
#<alt (/ (+ 6 (* 18 (/ 1 x))) (pow x 3))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (* 54 (/ 1 (pow x 3)))) (pow x 3))>
#<alt (/ 6 (pow x 3))>
#<alt (/ (+ 6 (* 18 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 x))) x)) 6) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 18 (* -1 (/ (- (* 54 (/ 1 x)) 18) x))) x)) 6) (pow x 3)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0)
0.0ms	x	@	inf	(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
0.0ms	x	@	inf	(/ (+ (* x 1/2) 1) x)
0.0ms	x	@	-inf	(/ (+ (* x 1/2) 1) x)
0.0ms	x	@	0	(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))

rewrite400.0ms (4.9%)

Memory

18.7MiB live, 642.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 612×	`/-lowering-/.f32`
4 612×	`/-lowering-/.f64`
4 540×	`accelerator-lowering-fma.f32`
4 540×	`accelerator-lowering-fma.f64`
4 150×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	114
1	206	114
2	1808	114
0	8131	92

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 849

Calls

Call 1

Inputs
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(+ (* x 1/12) 1/2)
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
(/ -1 (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 0)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
(+ (* x 1/24) -1/6)

Outputs
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 x #s(literal -1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x #s(literal -1/144 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))

simplify378.0ms (4.7%)

Memory

1.0MiB live, 472.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 182×	`accelerator-lowering-fma.f32`
13 182×	`accelerator-lowering-fma.f64`
3 738×	`-lowering-.f32`
3 738×	`-lowering-.f64`
2 880×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1129
1	541	1091
2	1575	1073
3	4642	1038
0	8266	941

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/24 x)))))) x)
(/ 6 (pow x 3))
(/ (+ 6 (* 18 (/ 1 x))) (pow x 3))
(/ (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (pow x 3))
(/ (- (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (* 54 (/ 1 (pow x 3)))) (pow x 3))
(/ 6 (pow x 3))
(/ (+ 6 (* 18 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 x))) x)) 6) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 18 (* -1 (/ (- (* 54 (/ 1 x)) 18) x))) x)) 6) (pow x 3)))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x (.f64 x (.f64 x x))))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (.f64 x (.f64 x (*.f64 x x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/24 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ 6 (pow x 3))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/ (+ 6 (* 18 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) x)) (.f64 x (.f64 x x)))
(/ (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 6 (+ (* 18 (/ 1 x)) (/ 18 (pow x 2)))) (* 54 (/ 1 (pow x 3)))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) x)) (/.f64 #s(literal 18 binary64) x))) (.f64 x (*.f64 x x)))
(/ 6 (pow x 3))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/ (+ 6 (* 18 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 x))) x)) 6) (pow x 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) x)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 18 (* -1 (/ (- (* 54 (/ 1 x)) 18) x))) x)) 6) (pow x 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))

eval136.0ms (1.7%)

Memory: 17.9MiB live, 201.3MiB allocated
Compiler: Compiled 36 287 to 2 939 computations (91.9% saved)

prune140.0ms (1.7%)

Memory

-10.0MiB live, 243.5MiB allocated

Pruning

35 alts after pruning (24 fresh and 11 done)

	Pruned	Kept	Total
New	973	20	993
Fresh	1	4	5
Picked	2	3	5
Done	0	8	8
Total	976	35	1 011

Accuracy

100.0%

Counts

1 011 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	3.0%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	62.8%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	63.2%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
	91.0%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
✓	100.0%	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
	29.2%	(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) x)
	30.5%	(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
✓	63.5%	(/.f64 #s(literal 1 binary64) x)
	91.0%	(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
	72.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	91.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	72.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	91.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	91.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	72.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	31.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
	30.8%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
	74.0%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	91.0%	(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
	38.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) x)))
	39.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	66.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	30.8%	(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	62.9%	(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	3.0%	(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
	62.8%	(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	37.1%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	3.3%	(*.f64 x #s(literal 1/12 binary64))
✓	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 1 189 to 497 computations (58.2% saved)

regimes58.0ms (0.7%)

Memory

2.2MiB live, 42.0MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))

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

Calls

3 calls:

35.0ms	(exp.f64 x)
11.0ms	x
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes33.0ms (0.4%)

Memory

4.5MiB live, 42.4MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

11.0ms	x
10.0ms	(exp.f64 x)
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes34.0ms (0.4%)

Memory

-28.3MiB live, 48.5MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) x)))
(/.f64 (exp.f64 x) x)

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

Calls

3 calls:

14.0ms	x
10.0ms	(exp.f64 x)
8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.6%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes32.0ms (0.4%)

Memory

2.9MiB live, 45.7MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) x)))

Outputs

(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))

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

Calls

3 calls:

12.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
10.0ms	x
8.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.1%	2	`x`
91.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.0%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes27.0ms (0.3%)

Memory

-0.5MiB live, 37.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Outputs
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))

Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))

Calls

3 calls:

8.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.3%)

Memory

-11.8MiB live, 26.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.2%)

Memory

-13.9MiB live, 24.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 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) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))

Outputs

(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))

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

Calls

3 calls:

8.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.1%	2	`x`
91.1%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.1%	2	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes14.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Outputs
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #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)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.1%	2	`x`
91.1%	2	`(exp.f64 x)`
91.1%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes12.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))

Outputs
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.9%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.9%	2	`(exp.f64 x)`
88.9%	2	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes14.0ms (0.2%)

Memory

-30.2MiB live, 11.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
63.5%	1	`(exp.f64 x)`
63.5%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))

Outputs
#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
3.4%	1	`x`
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-5.401326406504175e+104	-3.920193525511099e+100

Samples

2.0ms

48×

valid

Compiler

Compiled 155 to 77 computations (50.3% saved)

Precisions

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

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

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

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

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.7227540161701318

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch15.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-54681.05347492812	-1.6979165745158414e-19

Samples

8.0ms

176×

valid

Compiler

Compiled 242 to 173 computations (28.5% saved)

Precisions

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

ival-exp: 2.0ms (40.6% of total)

ival-expm1: 2.0ms (40.6% of total)

ival-div: 1.0ms (20.3% of total)

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

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

bsearch19.0ms (0.2%)

Memory

-23.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-54681.05347492812	-1.6979165745158414e-19

Samples

12.0ms

176×

valid

Compiler

Compiled 220 to 162 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (59.9% of total)

ival-expm1: 2.0ms (24% of total)

ival-div: 1.0ms (12% of total)

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

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

simplify10.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	188
1	79	188
2	84	188
3	89	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x #s(literal -50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(if (<=.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)

Outputs
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x #s(literal -50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)

soundness1.5s (19%)

Memory

9.1MiB live, 835.1MiB allocated

Rules

13 182×	`accelerator-lowering-fma.f32`
13 182×	`accelerator-lowering-fma.f64`
10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
10 170×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	119	59
0	986	52
0	29	114
1	206	114
2	1808	114
0	8131	92
0	189	1129
1	541	1091
2	1575	1073
3	4642	1038
0	8266	941
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9
0	100	1051
1	257	1050
2	715	1010
3	2189	973
4	6273	903
0	8342	795

Stop Event

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

Compiler

Compiled 502 to 282 computations (43.8% saved)

preprocess75.0ms (0.9%)

Memory: -3.8MiB live, 143.9MiB allocated
Compiler: Compiled 412 to 144 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	112
1	58	112
2	121	112
3	216	112
4	286	112
5	348	112
6	407	112
7	426	112
8	428	112
0	428	97

Iter	Nodes	Cost
0	25	112
1	58	112
2	121	112
3	216	112
4	286	112
5	348	112
6	407	112
7	426	112
8	428	112
0	428	97

analyze1.0ms (0%)

sample555.0ms (6.8%)

preprocess84.0ms (1%)

explain74.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize18.0ms (0.2%)

series10.0ms (0.1%)

rewrite336.0ms (4.1%)

simplify344.0ms (4.2%)

eval56.0ms (0.7%)

prune52.0ms (0.6%)

simplify629.0ms (7.8%)

localize64.0ms (0.8%)

series6.0ms (0.1%)

rewrite78.0ms (1%)

simplify337.0ms (4.2%)

eval35.0ms (0.4%)

prune33.0ms (0.4%)

simplify21.0ms (0.3%)

localize77.0ms (1%)

series8.0ms (0.1%)

rewrite575.0ms (7.1%)

simplify397.0ms (4.9%)

eval191.0ms (2.4%)

prune650.0ms (8%)

simplify375.0ms (4.6%)

localize92.0ms (1.1%)

series9.0ms (0.1%)

rewrite400.0ms (4.9%)

simplify378.0ms (4.7%)

eval136.0ms (1.7%)

prune140.0ms (1.7%)

regimes58.0ms (0.7%)

regimes33.0ms (0.4%)

regimes34.0ms (0.4%)

regimes32.0ms (0.4%)

regimes27.0ms (0.3%)

regimes21.0ms (0.3%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.5s (19%)

preprocess75.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	112
1	58	112
2	121	112
3	216	112
4	286	112
5	348	112
6	407	112
7	426	112
8	428	112
0	428	97