Metrics for expq2 (section 3.11)

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample561.0ms (6.3%)

Memory

-10.9MiB live, 698.2MiB allocated

Samples

397.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-div: 107.0ms (42.7% of total)

ival-exp: 64.0ms (25.6% of total)

ival-expm1: 48.0ms (19.2% of total)

ival->: 21.0ms (8.4% of total)

exact: 7.0ms (2.8% of total)

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

Bogosity

preprocess83.0ms (0.9%)

Memory

14.8MiB live, 52.3MiB 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))

explain73.0ms (0.8%)

Memory

-3.0MiB live, 116.2MiB 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

28.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (42.1% of total)

ival-exp: 4.0ms (28.1% of total)

ival-expm1: 3.0ms (21.1% 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

1.3MiB live, 1.3MiB 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

4.4MiB live, 4.4MiB 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)

localize21.0ms (0.2%)

Memory

-10.5MiB 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 (35.5% of total)

ival-exp: 2.0ms (35.5% of total)

ival-expm1: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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
0.0ms	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)

rewrite294.0ms (3.3%)

Memory

8.0MiB live, 361.3MiB 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 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))))
(+.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) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(-.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 (.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x 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 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (neg.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 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (neg.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)))) (neg.f64 (+.f64 (neg.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)))) (neg.f64 (+.f64 (neg.f64 (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 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (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 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.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 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 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)) (neg.f64 (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 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(*.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 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) #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 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (+.f64 x x))) (+.f64 (neg.f64 (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) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 0 binary64) (neg.f64 (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) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))

simplify312.0ms (3.5%)

Memory

0.7MiB live, 401.9MiB 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)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 x x) 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)
(- (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)

eval63.0ms (0.7%)

Memory: -1.1MiB live, 74.8MiB allocated
Compiler: Compiled 9 723 to 1 201 computations (87.6% saved)

prune205.0ms (2.3%)

Memory

-9.5MiB live, 72.0MiB 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)))
▶	55.5%	(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
	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 124 to 88 computations (29% saved)

simplify140.0ms (1.6%)

Memory

32.8MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 (neg.f64 x))
✓	cost-diff	0	(neg.f64 (expm1.f64 (neg.f64 x)))
✓	cost-diff	0	(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
✓	cost-diff	256	(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.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	(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

1 328×	`accelerator-lowering-fma.f32`
1 328×	`accelerator-lowering-fma.f64`
520×	`-lowering-.f32`
520×	`-lowering-.f64`
384×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	38	88
2	86	87
3	246	87
4	451	87
5	910	85
6	1576	85
7	1735	85
8	1919	85
9	2117	85
10	2248	85
11	2374	85
12	2551	85
13	2597	85
14	2614	85
15	2616	85
0	2616	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (- (exp (neg x)) 1))
-1
(- (exp (neg x)) 1)
(neg x)
x
(/ 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
(pow (* (neg (- (exp (neg x)) 1)) (neg (- (exp (neg x)) 1))) -1/2)
(* (neg (- (exp (neg x)) 1)) (neg (- (exp (neg x)) 1)))
(neg (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(neg x)
x
-1/2

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

localize170.0ms (1.9%)

Memory

-22.5MiB live, 53.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(expm1.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x))))
✓	accuracy	72.4%	(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
✓	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%	(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

109.0ms

256×

valid

Compiler

Compiled 77 to 20 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 6.0ms (22% of total)

ival-div: 5.0ms (18.4% of total)

ival-mult: 3.0ms (11% of total)

const: 3.0ms (11% of total)

ival-exp: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

ival-expm1: 2.0ms (7.3% of total)

ival-neg: 2.0ms (7.3% of total)

exact: 1.0ms (3.7% of total)

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

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

series10.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (neg x)>
#<alt (/ 1 x)>
#<alt (+ (* x 1/12) (+ (/ 1 x) 1/2))>
#<alt (+ (/ 1 x) 1/2)>
#<alt (/ (exp x) x)>
#<alt (exp x)>
#<alt (* (neg (- (exp (neg x)) 1)) (neg (- (exp (neg x)) 1)))>
#<alt (pow (* (neg (- (exp (neg x)) 1)) (neg (- (exp (neg x)) 1))) -1/2)>
#<alt (neg (- (exp (neg 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 (/ -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 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>
#<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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 7/12 x) 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 7/12 (* -1/4 x))) 1))))>
#<alt (pow (- 1 (exp (neg x))) 2)>
#<alt (pow (- 1 (exp (neg x))) 2)>
#<alt (pow (- 1 (exp (neg x))) 2)>
#<alt (pow (- 1 (exp (neg x))) 2)>
#<alt (pow (- 1 (exp (* -1 x))) 2)>
#<alt (pow (- 1 (exp (* -1 x))) 2)>
#<alt (pow (- 1 (exp (* -1 x))) 2)>
#<alt (pow (- 1 (exp (* -1 x))) 2)>
#<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 (- 1 (exp (neg x))))>
#<alt (/ 1 (- 1 (exp (neg x))))>
#<alt (/ 1 (- 1 (exp (neg x))))>
#<alt (/ 1 (- 1 (exp (neg x))))>
#<alt (/ 1 (- 1 (exp (* -1 x))))>
#<alt (/ 1 (- 1 (exp (* -1 x))))>
#<alt (/ 1 (- 1 (exp (* -1 x))))>
#<alt (/ 1 (- 1 (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/6 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))>
#<alt (- 1 (exp (neg x)))>
#<alt (- 1 (exp (neg x)))>
#<alt (- 1 (exp (neg x)))>
#<alt (- 1 (exp (neg x)))>
#<alt (- 1 (exp (* -1 x)))>
#<alt (- 1 (exp (* -1 x)))>
#<alt (- 1 (exp (* -1 x)))>
#<alt (- 1 (exp (* -1 x)))>

Calls

33 calls:

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

rewrite416.0ms (4.7%)

Memory

-1.8MiB live, 475.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 922×	`accelerator-lowering-fma.f32`
6 922×	`accelerator-lowering-fma.f64`
4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
3 402×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	104	56
2	775	56
0	8441	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 035

Calls

Call 1

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

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

simplify281.0ms (3.2%)

Memory

20.9MiB live, 410.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 562×	`accelerator-lowering-fma.f32`
9 562×	`accelerator-lowering-fma.f64`
2 978×	`-lowering-.f32`
2 978×	`-lowering-.f64`
2 284×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	774
1	303	773
2	636	753
3	1657	729
4	3321	729
5	5363	729
0	8081	618

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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 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
(+ 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)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 7/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 7/12 (* -1/4 x))) 1))))
(pow (- 1 (exp (neg x))) 2)
(pow (- 1 (exp (neg x))) 2)
(pow (- 1 (exp (neg x))) 2)
(pow (- 1 (exp (neg x))) 2)
(pow (- 1 (exp (* -1 x))) 2)
(pow (- 1 (exp (* -1 x))) 2)
(pow (- 1 (exp (* -1 x))) 2)
(pow (- 1 (exp (* -1 x))) 2)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 (- 1 (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))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(- 1 (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)))

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)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 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)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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)
(*.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)) (/ 1 (pow x 2)))))
(+.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 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) 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))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 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
#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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(.f64 x (-.f64 x (.f64 x x)))
(* (pow x 2) (+ 1 (* x (- (* 7/12 x) 1))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 7/12 binary64) #s(literal -1 binary64)) x))
(* (pow x 2) (+ 1 (* x (- (* x (+ 7/12 (* -1/4 x))) 1))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 7/12 binary64)) #s(literal -1 binary64)) x))
(pow (- 1 (exp (neg x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (neg x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (neg x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (neg x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (* -1 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (* -1 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (* -1 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow (- 1 (exp (* -1 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 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 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ 1 (- 1 (exp (neg x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (neg x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (neg x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (neg x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (* -1 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (* -1 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (* -1 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ 1 (- 1 (exp (* -1 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(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))) x)
(- 1 (exp (neg x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (neg x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (neg x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (neg x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (* -1 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (* -1 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (* -1 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(- 1 (exp (* -1 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))

eval235.0ms (2.7%)

Memory: 11.8MiB live, 347.8MiB allocated
Compiler: Compiled 40 084 to 3 851 computations (90.4% saved)

prune213.0ms (2.4%)

Memory

2.9MiB live, 357.1MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 888	10	1 898
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	1 890	16	1 906

Accuracy

100.0%

Counts

1 906 → 16

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))
	55.5%	(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 2 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)
▶	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) (*.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))))
	88.8%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
▶	81.3%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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))
	50.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
▶	3.3%	(*.f64 x #s(literal 1/12 binary64))

Compiler

Compiled 249 to 177 computations (28.9% saved)

simplify446.0ms (5%)

Memory

-6.0MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	(*.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)))
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	6272	(/.f64 (exp.f64 x) (expm1.f64 x))

Rules

5 916×	`accelerator-lowering-fma.f32`
5 916×	`accelerator-lowering-fma.f64`
1 600×	`-lowering-.f32`
1 600×	`-lowering-.f64`
904×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	65	117
2	133	117
3	235	117
4	416	117
5	599	117
6	969	117
7	1753	117
8	3451	117
9	4518	117
10	4875	117
11	5068	117
12	5234	117
13	5254	117
14	5433	117
15	5494	117
16	5502	117
17	5515	117
18	5727	117
19	5829	117
20	5836	117
21	5851	117
22	5863	117
23	5863	117
24	5890	117
25	5901	117
26	5902	117
0	5902	98

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (0.9%)

Memory

12.1MiB live, 88.1MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

58.0ms

256×

valid

Compiler

Compiled 100 to 27 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

const: 15.0ms (33.1% of total)

ival-mult: 10.0ms (22.1% of total)

ival-div: 7.0ms (15.4% of total)

ival-add: 6.0ms (13.2% of total)

ival-expm1: 5.0ms (11% of total)

ival-exp: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (exp x)>
#<alt (- (exp x) 1)>
#<alt (* x 1/12)>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (/ -1 (* x (+ (* x 1/2) -1)))>
#<alt (* x (+ (* x 1/2) -1))>
#<alt (+ (* x 1/2) -1)>
#<alt (/ -1 (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)))>
#<alt (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))>
#<alt (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)>
#<alt (+ (* x (+ (* x 1/24) -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 (* -1/720 (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)>
#<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 (* 1/12 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 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<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 (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<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 -1/6>
#<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

42 calls:

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

rewrite314.0ms (3.5%)

Memory

-25.7MiB live, 369.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 420×	`/-lowering-/.f32`
4 420×	`/-lowering-/.f64`
4 324×	`-lowering-.f32`
4 324×	`-lowering-.f64`
4 214×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	104
1	165	104
2	1248	104
0	8401	85

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 613

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 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 (.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 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) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.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 (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)))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
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(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))))
(neg.f64 (/.f64 (neg.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.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)) (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))) (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) (fma.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))) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 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 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 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 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal 1/20736 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.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))))
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(/.f64 (neg.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 (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x)))) (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)))))))
(/.f64 (-.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 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.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) (fma.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) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))

simplify612.0ms (6.9%)

Memory

-104.5MiB live, 456.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 120×	`accelerator-lowering-fma.f32`
15 120×	`accelerator-lowering-fma.f64`
3 790×	`-lowering-.f32`
3 790×	`-lowering-.f64`
3 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1142
1	584	1117
2	1554	1094
3	4608	1082
0	8309	966

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 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)
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)
(* 1/12 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 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(/ 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))))
-1/6
(- (* 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 (fma.f64 x #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 (* 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))
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)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.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)) 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)
(- (exp x) 1)
(expm1.f64 x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 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)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x)) #s(literal -2 binary64)) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x)) x)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(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))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(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 (fma.f64 x #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 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #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 #s(literal -96 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 192 binary64) x)) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(* -1 x)
(neg.f64 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 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (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 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (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 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x 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 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (/ 1 (pow x 3)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (.f64 x 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 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) (*.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 (.f64 x 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* 1/24 (pow x 2))
(.f64 (.f64 x 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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))

eval96.0ms (1.1%)

Memory: 13.6MiB live, 168.1MiB allocated
Compiler: Compiled 17 072 to 2 395 computations (86% saved)

prune113.0ms (1.3%)

Memory

7.1MiB live, 210.9MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	760	21	781
Fresh	3	5	8
Picked	1	4	5
Done	0	3	3
Total	764	33	797

Accuracy

100.0%

Counts

797 → 33

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)))
	55.5%	(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 2 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)
	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)
▶	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 (neg.f64 x)) x))
✓	63.5%	(/.f64 #s(literal 1 binary64) x)
	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) (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))))
▶	74.0%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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))))
	72.6%	(/.f64 #s(literal -1 binary64) (.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))))
	91.0%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (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 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))))
	72.6%	(/.f64 #s(literal -1 binary64) (.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 (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))))
	91.0%	(/.f64 #s(literal -1 binary64) (.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))))
	72.6%	(/.f64 #s(literal -1 binary64) (.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))))
	91.0%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	64.8%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.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))))
	91.0%	(/.f64 #s(literal -1 binary64) (.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))))
	72.6%	(/.f64 #s(literal -1 binary64) (.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))))
	90.4%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
✓	81.3%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
	32.7%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
▶	30.8%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	21.5%	(/.f64 #s(literal -2 binary64) (*.f64 x 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))
✓	3.3%	(*.f64 x #s(literal 1/12 binary64))
▶	3.7%	#s(literal 1 binary64)

Compiler

Compiled 999 to 634 computations (36.5% saved)

simplify337.0ms (3.8%)

Memory

-0.7MiB live, 423.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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	320	(fma.f64 (.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/24 binary64) #s(literal -1/6 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	(/.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 (neg.f64 x)) x))
✓	cost-diff	128	(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 (neg.f64 x)) x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
✓	cost-diff	320	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 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	(/.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)))
✓	cost-diff	384	(/.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)

Rules

16 054×	`accelerator-lowering-fma.f32`
16 054×	`accelerator-lowering-fma.f64`
4 472×	`-lowering-.f32`
4 472×	`-lowering-.f64`
2 568×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	346
1	97	334
2	279	331
3	898	327
4	3192	327
5	5627	327
0	8237	276

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) x)
(/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
-1
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
x
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
1
(/ -1 (* x (* x (* (* x x) 1/24))))
-1
(* x (* x (* (* x x) 1/24)))
x
(* x (* (* x x) 1/24))
(* (* x x) 1/24)
(* x x)
1/24
(/ 1 (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x))
1
(+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
x
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
(* x (neg x))
(neg x)
(/ -1 (* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)))
-1
(* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1))
x
(+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)
(* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x)
(+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4)
(+ (* x 1/24) -1/6)
1/24
-1/6
(* (+ (* x 1/24) -1/6) (* x x))
(* x x)
-1/4
(/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))
1
(+ (* x (+ (* x 1/24) -1/6)) -1/2)
-1/2

Outputs
(/ (/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) x)
(/.f64 #s(literal 1 binary64) (fma.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)) x))
(/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
(/.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)))
-1
#s(literal -1 binary64)
(+ (* 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 (+ (* 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)
1
#s(literal 1 binary64)
(/ -1 (* x (* x (* (* x x) 1/24))))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(* x (* x (* (* x x) 1/24)))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
x
(* x (* (* x x) 1/24))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (* x x) 1/24)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(/ 1 (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x))
(/.f64 #s(literal 1 binary64) (fma.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)) x))
1
#s(literal 1 binary64)
(+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x)
(fma.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)) x)
(+ (* 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
(+ (* 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)
(* x (neg x))
(*.f64 x (neg.f64 x))
(neg x)
(neg.f64 x)
(/ -1 (* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
-1
#s(literal -1 binary64)
(* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1))
(.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) (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) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)
(fma.f64 x (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) (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 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x)
(.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))
(+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4)
(fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 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)
(* (+ (* x 1/24) -1/6) (* x x))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* x x)
(*.f64 x x)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
1
#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))
-1/2
#s(literal -1/2 binary64)

localize132.0ms (1.5%)

Memory

-11.1MiB live, 194.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (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))
✓	accuracy	99.7%	(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x))
✓	accuracy	78.0%	(fma.f64 (.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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	100.0%	(/.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 (neg.f64 x)) x))
✓	accuracy	99.9%	(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 (neg.f64 x)) x)
✓	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))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	99.9%	(/.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)
✓	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))
✓	accuracy	99.5%	(/.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)))

Samples

70.0ms

256×

valid

Compiler

Compiled 298 to 38 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 20.0ms (38.9% of total)

ival-add: 13.0ms (25.3% of total)

ival-div: 10.0ms (19.4% of total)

const: 7.0ms (13.6% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series12.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) x)>
#<alt (/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))>
#<alt (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)>
#<alt (+ (* x (+ (* x 1/24) -1/6)) 1/2)>
#<alt (/ -1 (* x (* x (* (* x x) 1/24))))>
#<alt (* x (* x (* (* x x) 1/24)))>
#<alt (* x (* (* x x) 1/24))>
#<alt (* (* x x) 1/24)>
#<alt (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x)>
#<alt (/ 1 (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x))>
#<alt (+ (* x 1/24) -1/6)>
#<alt (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)>
#<alt (/ -1 (* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)))>
#<alt (* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1))>
#<alt (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x)>
#<alt (* (+ (* x 1/24) -1/6) (* x x))>
#<alt (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))>

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>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2)))))))>
#<alt (/ -24 (pow x 3))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3))>
#<alt (/ -24 (pow x 3))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3)))>
#<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 (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/6 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))>
#<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 -1/6>
#<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)))>
#<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 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 (* -1/4 x)>
#<alt (* x (- (* 1/36 (pow x 2)) 1/4))>
#<alt (* x (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))>
#<alt (* x (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))>
#<alt (* 1/576 (pow x 5))>
#<alt (* (pow x 5) (- 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* 1/576 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/72 (/ 1 x)) 1/576)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/36 (/ 1 x)) 1/72) x)) 1/576)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/36) x)) 1/72) x)) 1/576)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt -2>
#<alt (- (* 2/3 x) 2)>
#<alt (- (* x (+ 2/3 (* -7/18 x))) 2)>
#<alt (- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ -1 (* x (* x (* (* x x) 1/24))))
1.0ms	x	@	0	(/ -1 (* x (* x (* (* x x) 1/24))))
0.0ms	x	@	0	(* x (* (* x x) 1/24))
0.0ms	x	@	0	(* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x)
0.0ms	x	@	-inf	(* (+ (* x 1/24) -1/6) (* x x))

rewrite384.0ms (4.3%)

Memory

28.8MiB live, 447.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`accelerator-lowering-fma.f32`
4 994×	`accelerator-lowering-fma.f64`
4 152×	`/-lowering-/.f32`
4 152×	`/-lowering-/.f64`
3 566×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	226
1	224	196
2	1840	191
0	8354	161

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 823

Calls

Call 1

Inputs
(/ (/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) x)
(/ -1 (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(/ -1 (* x (* x (* (* x x) 1/24))))
(* x (* x (* (* x x) 1/24)))
(* x (* (* x x) 1/24))
(* (* x x) 1/24)
(+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x)
(/ 1 (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x (neg x))) x))
(+ (* x 1/24) -1/6)
(+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)
(/ -1 (* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1)))
(* x (+ (* (* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x) (/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1))
(* (+ (* (+ (* x 1/24) -1/6) (* (+ (* x 1/24) -1/6) (* x x))) -1/4) x)
(* (+ (* x 1/24) -1/6) (* x x))
(/ 1 (+ (* x (+ (* x 1/24) -1/6)) -1/2))

Outputs
(exp.f64 (.f64 (log.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)) (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.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)))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))) (/.f64 x (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 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)))))
(-.f64 (/.f64 (fma.f64 (.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 (.f64 x x) (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 x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))))
(neg.f64 (/.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)))))
(/.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))))
(/.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) (*.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)) (neg.f64 x) #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))) (neg.f64 x))
(/.f64 (fma.f64 x (+.f64 x (.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)))) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x 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 1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x) (neg.f64 x)) (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x))))
(/.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 (neg.f64 (fma.f64 x (+.f64 x (.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)))) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x) (neg.f64 x))) (neg.f64 (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))))
(pow.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)) (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.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)) (neg.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.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)) (neg.f64 x) #s(literal 1 binary64))) (*.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)) (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.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)) (neg.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.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)))))
(*.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 #s(literal 1 binary64) (/.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)))))
(.f64 (/.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)))) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (fma.f64 x (+.f64 x (.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)))) (.f64 (.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 (.f64 x 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 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (*.f64 x 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 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) (.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 -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x)))))
(*.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) 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))) #s(literal -1 binary64)))
(.f64 (pow.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)) (neg.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.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)) (neg.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) (fma.f64 x (+.f64 x (.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)))) (.f64 (.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 (*.f64 x 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 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.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)))) (.f64 (.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 (*.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 (/.f64 #s(literal 1 binary64) (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x) (neg.f64 x))) #s(literal -1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (.f64 (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) #s(literal -1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x (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 -1/4 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (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)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/4 binary64)))))

simplify317.0ms (3.6%)

Memory

-30.5MiB live, 369.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 844×	`accelerator-lowering-fma.f32`
7 844×	`accelerator-lowering-fma.f64`
3 902×	`-lowering-.f32`
3 902×	`-lowering-.f64`
2 114×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1840
1	744	1793
2	1984	1758
3	6032	1721
0	8259	1628

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2)))))))
(/ -24 (pow x 3))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3))
(/ -24 (pow x 3))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3)))
-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))))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(/ -24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(/ 1 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))
-1/6
(- (* 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)))
-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 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))))
(* -1/4 x)
(* x (- (* 1/36 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))
(* x (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))
(* 1/576 (pow x 5))
(* (pow x 5) (- 1/576 (* 1/72 (/ 1 x))))
(* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))
(* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))
(* 1/576 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/72 (/ 1 x)) 1/576)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/36 (/ 1 x)) 1/72) x)) 1/576)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/36) x)) 1/72) x)) 1/576)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
-2
(- (* 2/3 x) 2)
(- (* x (+ 2/3 (* -7/18 x))) 2)
(- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #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 (* 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 (+.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))))
(/ -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
#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 (* 1/144 (pow x 2)))))))
(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))
(/ -24 (pow x 3))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3))
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3))
(/.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 x)))
(/ -24 (pow x 3))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (+.f64 (/.f64 #s(literal -96 binary64) x) (/.f64 #s(literal -96 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3)))
(/.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 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 (*.f64 x x) #s(literal 1/24 binary64)))
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(.f64 x (fma.f64 x (.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(* x (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/72 binary64) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(* x (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(* 1/576 (pow x 5))
(.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/72 binary64) x)))
(* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x)))
(* (pow x 5) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/576 (pow x 5))
(.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/72 (/ 1 x)) 1/576)))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/72 binary64) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/36 (/ 1 x)) 1/72) x)) 1/576)))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/36) x)) 1/72) x)) 1/576)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x)) x)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/24 x) 1/6))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 1/24 x) 1/6))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 1/24 x) 1/6))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
-2
#s(literal -2 binary64)
(- (* 2/3 x) 2)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64))
(- (* x (+ 2/3 (* -7/18 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))
(- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 672 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 672 binary64) (.f64 x x)))) (/.f64 #s(literal 3840 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 672 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 (+.f64 #s(literal 672 binary64) (/.f64 #s(literal 3840 binary64) x)) x)) x)) (*.f64 x x))

eval186.0ms (2.1%)

Memory: 38.6MiB live, 312.9MiB allocated
Compiler: Compiled 48 298 to 3 930 computations (91.9% saved)

prune164.0ms (1.9%)

Memory

-27.1MiB live, 322.2MiB allocated

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	1 302	11	1 313
Fresh	8	13	21
Picked	4	1	5
Done	0	7	7
Total	1 314	32	1 346

Accuracy

100.0%

Counts

1 346 → 32

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)))
	55.5%	(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 2 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)
	30.8%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)
	30.8%	(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x 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)
	91.0%	(/.f64 #s(literal 1 binary64) (fma.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)) x))
✓	63.5%	(/.f64 #s(literal 1 binary64) x)
	30.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
	30.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))
	93.9%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
	93.2%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
	93.1%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
	93.1%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
	91.0%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (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 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))))
	91.0%	(/.f64 #s(literal -1 binary64) (.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))))
	90.4%	(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
✓	81.3%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
	32.7%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	21.5%	(/.f64 #s(literal -2 binary64) (*.f64 x 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))
	30.8%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))) #s(literal 24 binary64))
	30.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
✓	3.3%	(*.f64 x #s(literal 1/12 binary64))
✓	3.7%	#s(literal 1 binary64)

Compiler

Compiled 1 136 to 477 computations (58% saved)

regimes40.0ms (0.5%)

Memory

38.6MiB live, 77.3MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.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 #s(literal -2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.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))))
(/.f64 #s(literal 1 binary64) (fma.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)) 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) (.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))))
(/.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 (neg.f64 x)) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))) #s(literal 24 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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 (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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 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))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.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) (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 x (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.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))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.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)))
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))

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

Calls

3 calls:

14.0ms	x
12.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
11.0ms	(exp.f64 x)

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)

regimes39.0ms (0.4%)

Memory

-11.4MiB live, 71.6MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.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 #s(literal -2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.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))))
(/.f64 #s(literal 1 binary64) (fma.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)) 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) (.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))))
(/.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 (neg.f64 x)) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))) #s(literal 24 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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 (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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 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))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.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) (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 x (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.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))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.f64 (exp.f64 x) x)

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

Calls

3 calls:

13.0ms	x
12.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
12.0ms	(exp.f64 x)

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)

regimes36.0ms (0.4%)

Memory

-1.5MiB live, 37.2MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.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 #s(literal -2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.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))))
(/.f64 #s(literal 1 binary64) (fma.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)) 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) (.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))))
(/.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 (neg.f64 x)) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))) #s(literal 24 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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 (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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 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))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.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) (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 x (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.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))))
(/.f64 #s(literal -1 binary64) (.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))))

Outputs

(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))

Calls

3 calls:

12.0ms	x
11.0ms	(exp.f64 x)
10.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
93.9%	1	`x`
93.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.9%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes66.0ms (0.7%)

Memory

-8.1MiB live, 30.0MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.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 #s(literal -2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.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))))
(/.f64 #s(literal 1 binary64) (fma.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)) 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) (.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))))
(/.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 (neg.f64 x)) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))) #s(literal 24 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))

Outputs

(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))

Calls

3 calls:

45.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
11.0ms	x
8.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.2%	1	`x`
93.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.2%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes30.0ms (0.3%)

Memory

7.8MiB live, 45.3MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes48.0ms (0.5%)

Memory

-22.0MiB live, 33.0MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))

Calls

3 calls:

28.0ms	(exp.f64 x)
10.0ms	x
8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes28.0ms (0.3%)

Memory

0.2MiB live, 38.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
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)

regimes27.0ms (0.3%)

Memory

0.9MiB live, 36.2MiB allocated

Counts

30 → 1

Calls

Call 1

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

Calls

3 calls:

12.0ms	x
7.0ms	(exp.f64 x)
7.0ms	(/.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)

regimes21.0ms (0.2%)

Memory

-4.7MiB live, 34.0MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

3 calls:

9.0ms	x
5.0ms	(exp.f64 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

33.7MiB live, 33.7MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
90.4%	1	`x`
90.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
90.4%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes20.0ms (0.2%)

Memory

-11.8MiB live, 32.5MiB allocated

Counts

20 → 2

Calls

Call 1

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

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	(exp.f64 x)
6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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)

regimes16.0ms (0.2%)

Memory

-13.7MiB live, 25.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

6.0ms	x
5.0ms	(exp.f64 x)
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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)

regimes11.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
81.3%	1	`(exp.f64 x)`
81.3%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes12.0ms (0.1%)

Memory

-20.3MiB live, 17.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
(/.f64 #s(literal -2 binary64) (*.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	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
81.5%	2	`x`
81.5%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
81.5%	2	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.4%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
81.4%	2	`(exp.f64 x)`
81.4%	2	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes6.0ms (0.1%)

Memory

-29.2MiB live, 9.9MiB allocated

Accuracy

Total -0.8b remaining (-1.2%)

Threshold costs -0.8b (-1.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.7%	1	`x`
3.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.7%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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

21.1MiB live, 21.1MiB 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 (40.7% of total)

ival-expm1: 2.0ms (40.7% of total)

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

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

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

bsearch17.0ms (0.2%)

Memory

-19.8MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-54681.05347492812	-1.6979165745158414e-19

Samples

10.0ms

176×

valid

Compiler

Compiled 198 to 151 computations (23.7% saved)

Precisions

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

ival-exp: 2.0ms (40.9% of total)

ival-expm1: 2.0ms (40.9% of total)

ival-div: 1.0ms (20.5% of total)

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

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

bsearch15.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB 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 165 to 129 computations (21.8% saved)

Precisions

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

ival-exp: 2.0ms (41.3% of total)

ival-expm1: 2.0ms (41.3% of total)

ival-div: 1.0ms (20.7% of total)

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

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

simplify14.0ms (0.2%)

Memory

-22.0MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	270
1	111	270
2	122	270
3	132	270
4	134	270
5	135	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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 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)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -2 binary64) (*.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 -7926335344172073/4503599627370496 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x (fma.f64 (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)) (.f64 x x)) #s(literal -1/4 binary64))) #s(literal -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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 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))))
(/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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 #s(literal -1 binary64) (exp.f64 x))) #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)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -2 binary64) (*.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 -7926335344172073/4503599627370496 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -7926335344172073/4503599627370496 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

soundness2.0s (22.1%)

Memory

24.8MiB live, 1 080.4MiB allocated

Rules

15 120×	`accelerator-lowering-fma.f32`
15 120×	`accelerator-lowering-fma.f64`
10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
9 562×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1840
1	744	1793
2	1984	1758
3	6032	1721
0	8259	1628
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	19	57
1	104	56
2	775	56
0	8441	45
0	25	104
1	165	104
2	1248	104
0	8401	85
0	205	1142
1	584	1117
2	1554	1094
3	4608	1082
0	8309	966
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9
0	114	774
1	303	773
2	636	753
3	1657	729
4	3321	729
5	5363	729
0	8081	618

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 749 to 418 computations (44.2% saved)

preprocess122.0ms (1.4%)

Memory: 8.6MiB live, 161.3MiB allocated
Compiler: Compiled 572 to 198 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample561.0ms (6.3%)

preprocess83.0ms (0.9%)

explain73.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.2%)

series2.0ms (0%)

rewrite294.0ms (3.3%)

simplify312.0ms (3.5%)

eval63.0ms (0.7%)

prune205.0ms (2.3%)

simplify140.0ms (1.6%)

localize170.0ms (1.9%)

series10.0ms (0.1%)

rewrite416.0ms (4.7%)

simplify281.0ms (3.2%)

eval235.0ms (2.7%)

prune213.0ms (2.4%)

simplify446.0ms (5%)

localize83.0ms (0.9%)

series7.0ms (0.1%)

rewrite314.0ms (3.5%)

simplify612.0ms (6.9%)

eval96.0ms (1.1%)

prune113.0ms (1.3%)

simplify337.0ms (3.8%)

localize132.0ms (1.5%)

series12.0ms (0.1%)

rewrite384.0ms (4.3%)

simplify317.0ms (3.6%)

eval186.0ms (2.1%)

prune164.0ms (1.9%)

regimes40.0ms (0.5%)

regimes39.0ms (0.4%)

regimes36.0ms (0.4%)

regimes66.0ms (0.7%)

regimes30.0ms (0.3%)

regimes48.0ms (0.5%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify14.0ms (0.2%)

soundness2.0s (22.1%)

preprocess122.0ms (1.4%)

end0.0ms (0%)

Profiling