Metrics for expm1 (example 3.7)

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample586.0ms (6.7%)

Memory

19.3MiB live, 694.1MiB allocated

Samples

321.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-expm1: 69.0ms (47% of total)

ival-fabs: 49.0ms (33.3% of total)

ival-<=: 21.0ms (14.3% of total)

exact: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess15.0ms (0.2%)

Memory

-13.3MiB live, 24.8MiB allocated

Algorithm

2×	egg-herbie

Rules

28×	`sub-neg`
20×	`+-commutative`
10×	`*-commutative`
10×	`associate--r+`
8×	`--rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp x) 1)

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

Call 2

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

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

explain53.0ms (0.6%)

Memory

22.5MiB live, 106.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	1	(-0.010971341799775079)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	251	2

Confusion

	Predicted +	Predicted -
+	251	1
-	0	4

Precision

1.0

Recall

0.996031746031746

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	1	0
-	0	1	3

Precision?

0.9960474308300395

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 4.0ms (45.4% of total)

ival-expm1: 4.0ms (45.4% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 2 computations (33.3% saved)

prune2.0ms (0%)

Memory

-37.4MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)

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	4	5
1	9	5
2	10	5
0	10	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp x) 1)
x

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

localize9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 x)

Samples

6.0ms

256×

valid

Compiler

Compiled 5 to 4 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 2.0ms (98.1% of total)

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

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

series1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

1 → 12

Calls

Call 1

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

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)>

Calls

3 calls:

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

rewrite167.0ms (1.9%)

Memory

3.8MiB live, 91.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

594×	`accelerator-lowering-fma.f32`
594×	`accelerator-lowering-fma.f64`
574×	`/-lowering-/.f32`
574×	`/-lowering-/.f64`
536×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	22	4
2	128	4
0	1139	2

Stop Event

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

Counts

1 → 81

Calls

Call 1

Inputs
(- (exp x) 1)

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

simplify63.0ms (0.7%)

Memory

-24.5MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 068×	`accelerator-lowering-fma.f32`
1 068×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	71	66
2	150	66
3	337	66
4	524	66
5	618	66
6	623	66
0	623	44

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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)

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

eval10.0ms (0.1%)

Memory: 31.2MiB live, 31.2MiB allocated
Compiler: Compiled 1 827 to 237 computations (87% saved)

prune31.0ms (0.4%)

Memory

-16.4MiB live, 22.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Accuracy

100.0%

Counts

94 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
▶	98.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
▶	98.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 x)
▶	96.8%	x

Compiler

Compiled 99 to 74 computations (25.3% saved)

simplify504.0ms (5.8%)

Memory

16.3MiB live, 720.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	6784	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Rules

16 768×	`accelerator-lowering-fma.f32`
16 768×	`accelerator-lowering-fma.f64`
2 822×	`-lowering-.f32`
2 822×	`-lowering-.f64`
2 418×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	155
1	83	155
2	164	155
3	362	155
4	570	155
5	703	148
6	795	148
7	1179	148
8	3453	148
0	8393	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize92.0ms (1.1%)

Memory

24.2MiB live, 217.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 20.0ms (48.5% of total)

ival-add: 9.0ms (21.8% of total)

const: 6.0ms (14.5% of total)

ival-div: 2.0ms (4.8% of total)

ival-exp: 2.0ms (4.8% of total)

ival-expm1: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-3.6MiB live, 35.4MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* 2 x)
1.0ms	x	@	inf	(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
1.0ms	x	@	inf	(* x (+ 1 (* x 1/2)))
1.0ms	x	@	-inf	(/ (- (exp (* 2 x)) 1) (+ (exp x) 1))
1.0ms	x	@	inf	(/ (- (exp (* 2 x)) 1) (+ (exp x) 1))

rewrite719.0ms (8.2%)

Memory

-5.5MiB live, 586.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 766×	`accelerator-lowering-fma.f32`
5 766×	`accelerator-lowering-fma.f64`
4 266×	`/-lowering-/.f32`
4 266×	`/-lowering-/.f64`
3 554×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	139
1	180	132
2	1547	132
0	8294	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 785

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) x)
(.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(+.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(-.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)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (.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))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.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))))) (.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))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.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))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))

simplify584.0ms (6.7%)

Memory

31.6MiB live, 821.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 450×	`accelerator-lowering-fma.f32`
17 450×	`accelerator-lowering-fma.f64`
3 844×	`-lowering-.f32`
3 844×	`-lowering-.f64`
2 814×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1530
1	389	1483
2	1036	1456
3	3856	1443
4	6732	1443
0	8143	1248

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

eval227.0ms (2.6%)

Memory: -3.6MiB live, 240.7MiB allocated
Compiler: Compiled 26 439 to 2 893 computations (89.1% saved)

prune154.0ms (1.8%)

Memory

7.0MiB live, 240.7MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 016	9	1 025
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 017	14	1 031

Accuracy

100.0%

Counts

1 031 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
✓	99.9%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
	98.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
▶	98.6%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
▶	98.3%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
	98.9%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
	98.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
▶	98.9%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
	98.6%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))
▶	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
✓	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	98.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 x)
✓	96.8%	x

Compiler

Compiled 471 to 239 computations (49.3% saved)

simplify463.0ms (5.3%)

Memory

-0.4MiB live, 512.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))
✓	cost-diff	128	(-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x))
✓	cost-diff	1920	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
✓	cost-diff	128	(.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))

Rules

9 078×	`accelerator-lowering-fma.f32`
9 078×	`accelerator-lowering-fma.f64`
3 282×	`-lowering-.f32`
3 282×	`-lowering-.f64`
2 014×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	333
1	106	333
2	306	321
3	1393	319
4	3609	313
0	8504	268

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize178.0ms (2%)

Memory

-2.5MiB live, 233.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	57.0%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
✓	accuracy	100.0%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
✓	accuracy	100.0%	(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	56.9%	(.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))

Samples

94.0ms

256×

valid

Compiler

Compiled 365 to 36 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (36.9% of total)

const: 9.0ms (19.5% of total)

ival-add: 8.0ms (17.4% of total)

ival-sub: 5.0ms (10.9% of total)

ival-div: 5.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-18.8MiB live, 19.0MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<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)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 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 (* 1/2 (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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))>
#<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)) (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))>
#<alt (* 1/576 (pow x 8))>
#<alt (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 8))>
#<alt (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/6 x)))>
#<alt (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))>
#<alt (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))>
#<alt (* 1/576 (pow x 8))>
#<alt (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 8))>
#<alt (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* -1/6 x) 1/2) x)>
#<alt (/ (- (* -1/6 x) 1/2) x)>
#<alt (/ (- (* -1/6 x) 1/2) x)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 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 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<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 (* (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))))>

Calls

66 calls:

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

rewrite1.0s (11.9%)

Memory

-18.5MiB live, 827.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 558×	`-lowering-.f32`
6 558×	`-lowering-.f64`
4 336×	`/-lowering-/.f32`
4 336×	`/-lowering-/.f64`
4 278×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	222
1	264	214
2	2598	214
0	9513	185

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 709

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(fma.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(fma.f64 x (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(fma.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (.f64 x x) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (+.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x x)) (+.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(.f64 (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x x))
(+.f64 x (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(fma.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(fma.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (-.f64 x (.f64 x (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)) x)
(+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) (/.f64 (.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))
(fma.f64 x (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x) #s(literal 1 binary64))
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(fma.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) x (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) x (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 x x)))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(pow.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
(.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(.f64 (.f64 x x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) x)
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/216 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/36 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal -1/216 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/24 binary64) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) x (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x #s(literal 1/24 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) x)
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) x))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(.f64 x (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) x)
(.f64 (.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))

simplify545.0ms (6.2%)

Memory

-12.8MiB live, 933.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 100×	`accelerator-lowering-fma.f32`
16 100×	`accelerator-lowering-fma.f64`
3 922×	`-lowering-.f32`
3 922×	`-lowering-.f64`
3 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2047
1	510	2038
2	1407	2009
3	4200	1991
4	7076	1987
0	8218	1832

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 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)))
(* 1/2 (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))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/6 x)))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (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)))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(/ -1/2 x)
(/ (- (* -1/6 x) 1/2) x)
(/ (- (* -1/6 x) 1/2) x)
(/ (- (* -1/6 x) 1/2) x)
-1/6
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
-1/6
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 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))
(* (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))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(* 1/24 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* 1/24 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 (.f64 x 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 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
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(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))

eval183.0ms (2.1%)

Memory: 20.9MiB live, 526.8MiB allocated
Compiler: Compiled 58 648 to 2 895 computations (95.1% saved)

prune110.0ms (1.3%)

Memory

6.2MiB live, 283.2MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 321	4	1 325
Fresh	2	2	4
Picked	1	4	5
Done	0	5	5
Total	1 324	15	1 339

Accuracy

100.0%

Counts

1 339 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 5/72 binary64) (.f64 x #s(literal 1/72 binary64)))))))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
✓	99.9%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	98.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
✓	98.6%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	98.3%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
▶	28.0%	(.f64 (.f64 (.f64 x 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)))
▶	98.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
▶	98.9%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))))
✓	98.9%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
▶	98.6%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
✓	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	98.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 x)
✓	96.8%	x

Compiler

Compiled 357 to 238 computations (33.3% saved)

simplify245.0ms (2.8%)

Memory

-12.2MiB live, 472.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	128	(.f64 (.f64 (.f64 x 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)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))))
✓	cost-diff	64	(neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Rules

8 346×	`accelerator-lowering-fma.f32`
8 346×	`accelerator-lowering-fma.f64`
2 714×	`-lowering-.f32`
2 714×	`-lowering-.f64`
2 108×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	378
1	122	351
2	322	325
3	875	321
4	1611	321
5	3354	321
6	6359	321
0	8103	284

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize186.0ms (2.1%)

Memory

19.0MiB live, 338.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
✓	accuracy	30.2%	(.f64 (.f64 (.f64 x 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)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Samples

92.0ms

256×

valid

Compiler

Compiled 367 to 42 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.2% of total)

ival-div: 13.0ms (22.7% of total)

ival-add: 12.0ms (21% of total)

const: 6.0ms (10.5% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-8.8MiB live, 29.3MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))>
#<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)) (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt -1>
#<alt (- (* -1/6 (pow x 2)) 1)>
#<alt (- (* -1/6 (pow x 2)) 1)>
#<alt (- (* -1/6 (pow x 2)) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 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 (* 1/2 (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 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (pow x 3))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/6 (/ 1 x)))>
#<alt (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))>
#<alt (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/6 (/ 1 x)))>
#<alt (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))>
#<alt (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<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 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 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 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (* 1/24 (* x x)))
2.0ms	x	@	-inf	(* (* (* x x) (* x x)) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))
0.0ms	x	@	-inf	(/ (+ 1/2 (/ 1 x)) x)
0.0ms	x	@	0	(+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))
0.0ms	x	@	0	(* x (* 1/24 (* x x)))

rewrite457.0ms (5.2%)

Memory

64.6MiB live, 919.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 504×	`/-lowering-/.f32`
4 504×	`/-lowering-/.f64`
3 418×	`accelerator-lowering-fma.f32`
3 418×	`accelerator-lowering-fma.f64`
3 392×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	265
1	303	239
2	3070	239
0	8126	213

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1 005

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(+.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))

simplify524.0ms (6%)

Memory

-22.2MiB live, 676.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 130×	`accelerator-lowering-fma.f32`
9 130×	`accelerator-lowering-fma.f64`
4 434×	`-lowering-.f32`
4 434×	`-lowering-.f64`
2 772×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	2333
1	620	2316
2	1695	2250
3	7063	2250
0	8213	2069

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
-1
(- (* -1/6 (pow x 2)) 1)
(- (* -1/6 (pow x 2)) 1)
(- (* -1/6 (pow x 2)) 1)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 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)))
(* 1/2 (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 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 3))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (pow x 3))
1/24
(+ 1/24 (* 1/6 (/ 1 x)))
(+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))
(+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
1/24
(+ 1/24 (* 1/6 (/ 1 x)))
(+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))
(+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 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 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1 (pow x 3))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))

Outputs
1
#s(literal 1 binary64)
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eval249.0ms (2.8%)

Memory: 7.9MiB live, 403.8MiB allocated
Compiler: Compiled 44 440 to 3 988 computations (91% saved)

prune145.0ms (1.7%)

Memory

6.4MiB live, 323.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 468	3	1 471
Fresh	1	0	1
Picked	5	0	5
Done	4	5	9
Total	1 478	8	1 486

Accuracy

100.0%

Counts

1 486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
	98.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓	98.6%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	98.3%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
	99.0%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
	98.3%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
✓	100.0%	(expm1.f64 x)
✓	96.8%	x

Compiler

Compiled 450 to 160 computations (64.4% saved)

regimes23.0ms (0.3%)

Memory

-0.6MiB live, 37.7MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(.f64 (.f64 (.f64 x 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)))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 5/72 binary64) (.f64 x #s(literal 1/72 binary64)))))))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(expm1.f64 x)

Calls

3 calls:

10.0ms	x
5.0ms	(exp.f64 x)
5.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(.f64 (.f64 (.f64 x 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)))
(.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 5/72 binary64) (.f64 x #s(literal 1/72 binary64)))))))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

-32.6MiB live, 5.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	51	59

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (11.9%)

Memory

-22.1MiB live, 1 186.8MiB allocated

Rules

9 130×	`accelerator-lowering-fma.f32`
9 130×	`accelerator-lowering-fma.f64`
5 766×	`accelerator-lowering-fma.f32`
5 766×	`accelerator-lowering-fma.f64`
4 434×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	71	66
2	150	66
3	337	66
4	524	66
5	618	66
6	623	66
0	623	44
0	197	2333
1	620	2316
2	1695	2250
3	7063	2250
0	8213	2069
0	27	139
1	180	132
2	1547	132
0	8294	108
0	4	4
1	9	4
2	10	4
0	10	2

Stop Event

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

Compiler

Compiled 203 to 131 computations (35.5% saved)

preprocess54.0ms (0.6%)

Memory: -3.1MiB live, 110.3MiB allocated
Compiler: Compiled 136 to 70 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

analyze0.0ms (0%)

sample586.0ms (6.7%)

preprocess15.0ms (0.2%)

explain53.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify3.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite167.0ms (1.9%)

simplify63.0ms (0.7%)

eval10.0ms (0.1%)

prune31.0ms (0.4%)

simplify504.0ms (5.8%)

localize92.0ms (1.1%)

series16.0ms (0.2%)

rewrite719.0ms (8.2%)

simplify584.0ms (6.7%)

eval227.0ms (2.6%)

prune154.0ms (1.8%)

simplify463.0ms (5.3%)

localize178.0ms (2%)

series11.0ms (0.1%)

rewrite1.0s (11.9%)

simplify545.0ms (6.2%)

eval183.0ms (2.1%)

prune110.0ms (1.3%)

simplify245.0ms (2.8%)

localize186.0ms (2.1%)

series15.0ms (0.2%)

rewrite457.0ms (5.2%)

simplify524.0ms (6%)

eval249.0ms (2.8%)

prune145.0ms (1.7%)

regimes23.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.0s (11.9%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2