Metrics for Kahan's exp quotient

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (12.1%)

Results

745.0ms	3962×	1	valid
231.0ms	4294×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

ival-exp: 344.0ms (54.7% of total)

ival-div: 112.0ms (17.8% of total)

backward-pass: 84.0ms (13.4% of total)

ival-sub: 75.0ms (11.9% of total)

const: 14.0ms (2.2% of total)

Bogosity

preprocess121.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

868×	`fnmadd-define`
842×	`sum3-define`
738×	`sum3-define`
710×	`fnmadd-define`
636×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	35	15
2	83	15
3	236	15
4	658	15
5	1261	15
6	2198	15
7	2949	15
8	3164	15
9	3188	15
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (- (exp x) 1) x)
(/ (expm1 x) x)
(/ (- (exp (neg x)) 1) (neg x))
(/ (expm1 (neg x)) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))
(/ (expm1 (neg x)) x)

explain112.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

59.0ms	240×	1	valid
22.0ms	272×	0	valid

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 18.0ms (50.7% of total)

ival-div: 8.0ms (22.5% of total)

ival-sub: 5.0ms (14.1% of total)

backward-pass: 4.0ms (11.3% of total)

const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

842×	`sum3-define`
710×	`fnmadd-define`
586×	`fma-define`
368×	`sum5-define`
300×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	14	7
2	18	7
3	24	7
4	35	7
5	49	7
6	86	7
7	160	7
8	285	7
9	512	7
10	925	7
11	1806	7
12	2152	7
13	2670	7
14	2695	7
15	2714	7
16	2722	7
0	2722	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Results

25.0ms	121×	1	valid
8.0ms	135×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

compiled-spec: 15.0ms (43.7% of total)

ival-exp: 11.0ms (32% of total)

ival-div: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

backward-pass: 2.0ms (5.8% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

6 calls:

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

rewrite173.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`/-lowering-/.f32`
1488×	`/-lowering-/.f64`
1254×	`sum5-define`
1146×	`-lowering-.f32`
1146×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	20	6
2	68	6
3	352	6
4	1869	6
0	8879	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 254

Calls

Call 1

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

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

simplify484.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

3496×	`sum4-define`
1504×	`-lowering-.f32`
1504×	`-lowering-.f64`
1498×	`fma-define`
1436×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	110
1	76	98
2	197	95
3	483	95
4	1010	95
5	1453	95
6	1649	95
7	1733	95
8	1851	95
9	2725	95
10	6236	95
11	7326	95
12	7655	95
13	7803	95
14	7916	95
0	9548	95

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval30.0ms (0.3%)

Compiler: Compiled 3502 to 550 computations (84.3% saved)

prune45.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	273	5	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	273	6	279

Accuracy

100.0%

Counts

279 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
▶	63.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
▶	49.6%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
▶	49.2%	#s(literal 1 binary64)

Compiler

Compiled 105 to 81 computations (22.9% saved)

simplify229.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2666×	`fma-lowering-fma.f32`
2666×	`fma-lowering-fma.f64`
2056×	`sum3-define`
2016×	`fnmadd-define`
1956×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	166
1	61	161
2	174	151
3	415	144
4	1461	144
5	5245	144
0	8342	144

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

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

localize153.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/24 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 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(.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 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))))
✓	accuracy	99.7%	(.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/24 binary64))
✓	accuracy	97.0%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x)

Results

105.0ms

256×

valid

Compiler

Compiled 180 to 22 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.6% of total)

...c/correct-round.rkt:119:19: 12.0ms (33.1% of total)

ival-add: 6.0ms (16.5% of total)

ival-div: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.8% of total)

const: 1.0ms (2.8% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (* x (+ (* x -1/24) -1/6)) -1/2)
1.0ms	x	@	0	(* x (+ (* x (+ (* x -1/24) -1/6)) -1/2))
0.0ms	x	@	inf	(* x (+ (* x (+ (* x -1/24) -1/6)) -1/2))
0.0ms	x	@	inf	(/ (* x (- 1 (* x (+ (* x (+ (* x -1/24) -1/6)) -1/2)))) x)
0.0ms	x	@	-inf	(/ (* x (- 1 (* x (+ (* x (+ (* x -1/24) -1/6)) -1/2)))) x)

rewrite264.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2116×	`-lowering-.f32`
2116×	`-lowering-.f64`
1900×	`/-lowering-/.f32`
1900×	`/-lowering-/.f64`
1640×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	67	99
2	224	92
3	774	87
4	3865	87
0	8470	87

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 857

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

Outputs
(+.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))))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))))
(+.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 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x (.f64 (.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))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (+.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 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (log1p.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))))
(exp.f64 (.f64 (log1p.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (.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 #s(literal 0 binary64) x)))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) #s(literal 1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) #s(literal 0 binary64)) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x x))))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(fma.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))
(fma.f64 x (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (neg.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (neg.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1 binary64))))
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(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) 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 (-.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 (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) x) x)
(.f64 (/.f64 (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(-.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 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 #s(literal -1/24 binary64) (.f64 x x)))
(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 #s(literal -1/24 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (.f64 x #s(literal -1/6 binary64)))
(neg.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.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)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal -1/24 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 x x))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))
(.f64 #s(literal 1 binary64) (.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 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))
(.f64 (.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/24 binary64)))
(neg.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/24 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/24 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) x)
(.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
(fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))

simplify232.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3428×	`-lowering-.f32`
3428×	`-lowering-.f64`
1464×	`times-frac`
1360×	`+-lowering-+.f64`
1360×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1059
1	324	896
2	1082	862
3	3511	854
0	8678	854

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval217.0ms (2.2%)

Compiler: Compiled 30542 to 2818 computations (90.8% saved)

prune205.0ms (2.1%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1487	21	1508
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1488	26	1514

Accuracy

100.0%

Counts

1514 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(/.f64 (/.f64 (-.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 #s(literal 1 binary64) x)) x)
	51.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	23.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x x)))
	67.3%	(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
▶	32.0%	(/.f64 (.f64 (.f64 (.f64 x (.f64 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))) x)
	31.3%	(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x) (.f64 x x))
	66.4%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/24 binary64)))) x)
▶	67.4%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) x)
	21.0%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	65.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))))
	66.0%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	65.0%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))
▶	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
✓	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))))
✓	63.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	49.6%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	20.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
▶	19.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	19.6%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
▶	3.7%	(*.f64 #s(literal 1/2 binary64) x)
	17.8%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 853 to 527 computations (38.2% saved)

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1684×	`-lowering-.f32`
1684×	`-lowering-.f64`
1404×	`fma-define`
1400×	`fma-lowering-fma.f32`
1400×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	287
1	93	257
2	251	247
3	616	238
4	1831	235
5	5289	235
0	8322	235

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize227.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
✓	accuracy	97.0%	(/.f64 (.f64 (.f64 (.f64 x (.f64 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))) x)
✓	accuracy	65.1%	(.f64 (.f64 (.f64 x (.f64 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)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 (/.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/24 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.7%	(.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) x)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/24 binary64))
✓	accuracy	97.0%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) x)

Results

145.0ms

256×

valid

Compiler

Compiled 322 to 34 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 19.0ms (32.1% of total)

...c/correct-round.rkt:119:19: 14.0ms (23.6% of total)

ival-add: 13.0ms (22% of total)

ival-div: 11.0ms (18.6% of total)

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

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

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

57 calls:

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

rewrite372.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3476×	`-lowering-.f32`
3476×	`-lowering-.f64`
2040×	`/-lowering-/.f32`
2040×	`/-lowering-/.f64`
1996×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	173
1	129	150
2	550	140
3	3592	139
0	8914	139

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1090

Calls

Call 1

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

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

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
1430×	`/-lowering-/.f32`
1430×	`/-lowering-/.f64`
1136×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1519
1	304	1380
2	1016	1326
3	3396	1272
0	8394	1272

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

eval223.0ms (2.2%)

Compiler: Compiled 31500 to 3437 computations (89.1% saved)

prune223.0ms (2.2%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1548	13	1561
Fresh	7	9	16
Picked	2	3	5
Done	0	5	5
Total	1557	30	1587

Accuracy

100.0%

Counts

1587 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(/.f64 (/.f64 (-.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 #s(literal 1 binary64) x)) x)
	51.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	19.7%	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
▶	19.7%	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	19.8%	(/.f64 (-.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
	36.6%	(/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) x)
	23.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x x)))
	67.3%	(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
	32.0%	(/.f64 (.f64 (.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) 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))) x)
✓	32.0%	(/.f64 (.f64 (.f64 (.f64 x (.f64 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))) x)
	31.3%	(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x) (.f64 x x))
▶	21.0%	(/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	66.0%	(/.f64 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)))))))))
	66.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))
	65.0%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))
✓	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))))
▶	67.4%	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	63.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	49.6%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	20.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	19.8%	(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal 1/6 binary64))))
	19.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x))))))
✓	19.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	20.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
	19.6%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	3.7%	(*.f64 #s(literal 1/2 binary64) x)
▶	17.8%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 981 to 607 computations (38.1% saved)

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	384	(.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
✓	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	256	(/.f64 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)))))))))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x 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) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))

Rules

1734×	`fnmadd-define`
1722×	`-lowering-.f32`
1722×	`-lowering-.f64`
1466×	`sum4-define`
1234×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	274
1	117	239
2	397	209
3	1306	206
4	5599	206
0	8379	206

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize258.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal -1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	77.9%	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	75.2%	(.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 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)))))))))
✓	accuracy	99.7%	(.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	91.5%	(/.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	99.8%	(.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	92.9%	(/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.7%	(.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	75.3%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))

Results

199.0ms

256×

valid

Compiler

Compiled 306 to 36 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 36.0ms (49.3% of total)

...c/correct-round.rkt:119:19: 14.0ms (19.2% of total)

ival-div: 13.0ms (17.8% of total)

ival-add: 6.0ms (8.2% of total)

ival-sub: 3.0ms (4.1% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

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

Calls

66 calls:

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

rewrite324.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2154×	`-lowering-.f32`
2154×	`-lowering-.f64`
1684×	`/-lowering-/.f32`
1684×	`/-lowering-/.f64`
1562×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	202
1	168	165
2	801	135
3	5941	135
0	8244	135

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1393

Calls

Call 1

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

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

simplify263.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3304×	`-lowering-.f32`
3304×	`-lowering-.f64`
2314×	`+-lowering-+.f64`
2314×	`+-lowering-+.f32`
2006×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1628
1	365	1420
2	1037	1384
3	3173	1380
0	8587	1380

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

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

eval286.0ms (2.9%)

Compiler: Compiled 37404 to 3748 computations (90% saved)

prune263.0ms (2.6%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1871	14	1885
Fresh	10	7	17
Picked	3	2	5
Done	2	6	8
Total	1886	29	1915

Accuracy

100.0%

Counts

1915 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.0%	(/.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) x)
	51.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	19.7%	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
	23.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x x)))
	19.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	32.0%	(/.f64 (.f64 (.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) 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))) x)
	7.0%	(/.f64 (.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 x x)) (.f64 x x))
	21.0%	(/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/24 binary64)))) (/.f64 #s(literal -1 binary64) x)))) x)
✓	21.0%	(/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)
	19.6%	(/.f64 (.f64 x (.f64 x #s(literal -1/24 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	19.3%	(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) x))
	66.0%	(/.f64 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 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
	66.0%	(/.f64 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 (/.f64 #s(literal 1/24 binary64) x) (.f64 x x)))))))))
	19.6%	(/.f64 x (/.f64 #s(literal 24 binary64) (*.f64 x x)))
	51.4%	(/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
	19.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))))
	19.7%	(/.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (*.f64 x x))))
✓	66.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
✓	63.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	49.6%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	19.6%	(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
	20.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	17.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	20.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
	19.6%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	3.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	17.8%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 1315 to 486 computations (63% saved)

regimes36.0ms (0.4%)

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 x (/.f64 #s(literal 24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 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)))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))))
(/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 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 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) x))
(/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal 1/6 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal -1/24 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/24 binary64)))) x)
(/.f64 (-.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 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)))))))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/24 binary64)))) (/.f64 #s(literal -1 binary64) x)))) x)
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x)
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 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 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) x)
(/.f64 (.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 x x)) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.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 #s(literal 1 binary64) x)) x)
(/.f64 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 (/.f64 #s(literal 1/24 binary64) x) (.f64 x x)))))))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x) (.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x (.f64 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))) x)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) 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))) x)
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (*.f64 x x)) (+.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) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (.f64 x x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

17.0ms	x
13.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
72.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
70.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
70.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
70.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
65.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -29.5b remaining (-90.8%)

Threshold costs -29.5b (-90.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
49.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch75.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	5.99628391116624e+90	3.164271967778169e+103
15.0ms	-569331250549685.1	-7.66654613300674e-5

Results

61.0ms

320×

valid

Compiler

Compiled 1231 to 548 computations (55.5% saved)

Precisions

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

ival-exp: 3.0ms (39.1% of total)

ival-sub: 2.0ms (26.1% of total)

ival-div: 2.0ms (26.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-569331250549685.1	-7.66654613300674e-5

Results

39.0ms

160×

valid

Compiler

Compiled 331 to 238 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 31.0ms (89.6% of total)

ival-exp: 2.0ms (5.8% of total)

ival-div: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-569331250549685.1	-7.66654613300674e-5

Results

46.0ms

160×

valid

Compiler

Compiled 311 to 228 computations (26.7% saved)

Precisions

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

ival-exp: 2.0ms (47.2% of total)

ival-sub: 1.0ms (23.6% of total)

ival-div: 1.0ms (23.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.712820738250105e-6	61158.90904428519

Results

9.0ms

160×

valid

Compiler

Compiled 251 to 168 computations (33.1% saved)

Precisions

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

ival-exp: 2.0ms (49% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	6.712820738250105e-6	61158.90904428519

Results

43.0ms

160×

valid

Compiler

Compiled 251 to 178 computations (29.1% saved)

Precisions

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

ival-exp: 2.0ms (49.4% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.712820738250105e-6	61158.90904428519

Results

11.0ms

160×

valid

Compiler

Compiled 251 to 188 computations (25.1% saved)

Precisions

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

ival-exp: 2.0ms (49% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.712820738250105e-6	61158.90904428519

Results

9.0ms

160×

valid

Compiler

Compiled 231 to 168 computations (27.3% saved)

Precisions

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

ival-exp: 2.0ms (49.4% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.712820738250105e-6	61158.90904428519

Results

10.0ms

160×

valid

Compiler

Compiled 231 to 178 computations (22.9% saved)

Precisions

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

ival-exp: 3.0ms (56.4% of total)

ival-sub: 1.0ms (18.8% of total)

ival-div: 1.0ms (18.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.712820738250105e-6	61158.90904428519

Results

9.0ms

160×

valid

Compiler

Compiled 151 to 118 computations (21.9% saved)

Precisions

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

ival-exp: 2.0ms (48.8% of total)

ival-sub: 1.0ms (24.4% of total)

ival-div: 1.0ms (24.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.712820738250105e-6	61158.90904428519

Results

9.0ms

160×

valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

Precisions

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

ival-exp: 2.0ms (47.8% of total)

ival-sub: 1.0ms (23.9% of total)

ival-div: 1.0ms (23.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.712820738250105e-6	61158.90904428519

Results

11.0ms

160×

valid

Compiler

Compiled 111 to 88 computations (20.7% saved)

Precisions

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

ival-exp: 2.0ms (49.2% of total)

ival-sub: 1.0ms (24.6% of total)

ival-div: 1.0ms (24.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary64`
50×	`+-commutative_binary64`
30×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	301
1	136	301
2	167	301
3	194	301
4	213	301
5	229	301
6	234	301
7	236	301

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x))
(if (<=.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) x)))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(if (<=.f64 x #s(literal 6417629469002957/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) 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))))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))))) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.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))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x))
(if (<=.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) x)))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(if (<=.f64 x #s(literal 6417629469002957/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)

soundness2.8s (28.6%)

Rules

3496×	`sum4-define`
3476×	`-lowering-.f32`
3476×	`-lowering-.f64`
3428×	`-lowering-.f32`
3428×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	67	99
2	224	92
3	774	87
4	3865	87
0	8470	87
0	120	1628
1	365	1420
2	1037	1384
3	3173	1380
0	8587	1380
0	33	173
1	129	150
2	550	140
3	3592	139
0	8914	139
0	94	1059
1	324	896
2	1082	862
3	3511	854
0	8678	854
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4
0	94	1519
1	304	1380
2	1016	1326
3	3396	1272
0	8394	1272
0	23	110
1	76	98
2	197	95
3	483	95
4	1010	95
5	1453	95
6	1649	95
7	1733	95
8	1851	95
9	2725	95
10	6236	95
11	7326	95
12	7655	95
13	7803	95
14	7916	95
0	9548	95

Stop Event

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

Compiler

Compiled 870 to 480 computations (44.8% saved)

preprocess77.0ms (0.8%)

Compiler: Compiled 664 to 214 computations (67.8% saved)

analyze2.0ms (0%)

sample1.2s (12.1%)

preprocess121.0ms (1.2%)

explain112.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.6%)

localize42.0ms (0.4%)

series2.0ms (0%)

rewrite173.0ms (1.7%)

simplify484.0ms (4.9%)

eval30.0ms (0.3%)

prune45.0ms (0.5%)

simplify229.0ms (2.3%)

localize153.0ms (1.5%)

series9.0ms (0.1%)

rewrite264.0ms (2.7%)

simplify232.0ms (2.3%)

eval217.0ms (2.2%)

prune205.0ms (2.1%)

simplify154.0ms (1.5%)

localize227.0ms (2.3%)

series7.0ms (0.1%)

rewrite372.0ms (3.7%)

simplify190.0ms (1.9%)

eval223.0ms (2.2%)

prune223.0ms (2.2%)

simplify148.0ms (1.5%)

localize258.0ms (2.6%)

series8.0ms (0.1%)

rewrite324.0ms (3.3%)

simplify263.0ms (2.6%)

eval286.0ms (2.9%)

prune263.0ms (2.6%)

regimes36.0ms (0.4%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch75.0ms (0.8%)

bsearch47.0ms (0.5%)

bsearch52.0ms (0.5%)

bsearch15.0ms (0.2%)

bsearch49.0ms (0.5%)

bsearch18.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify18.0ms (0.2%)

soundness2.8s (28.6%)

preprocess77.0ms (0.8%)

end0.0ms (0%)

Profiling