Metrics for expq2 (section 3.11)

analyze169.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
34.4%	25.8%	49.3%	24.8%	0%	0%	0%	6
37.5%	28.2%	47%	24.8%	0%	0%	0%	7
38.3%	28.8%	46.4%	24.8%	0%	0%	0%	8
38.7%	29.1%	46.1%	24.8%	0%	0%	0%	9
38.9%	29.2%	46%	24.8%	0%	0%	0%	10
38.9%	29.2%	46%	24.8%	0%	0%	0%	11
38.9%	29.2%	46%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival->: 22.0ms (35.1% of total)

ival-exp: 16.0ms (25.6% of total)

ival-sub: 14.0ms (22.4% of total)

ival-div: 7.0ms (11.2% of total)

const: 3.0ms (4.8% of total)

backward-pass: 1.0ms (1.6% of total)

sample1.1s (11.9%)

Results

766.0ms	5353×	1	valid
137.0ms	2903×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 655.0ms

ival-exp: 381.0ms (58.1% of total)

ival-sub: 85.0ms (13% of total)

ival-div: 78.0ms (11.9% of total)

backward-pass: 56.0ms (8.5% of total)

ival->: 41.0ms (6.3% of total)

const: 14.0ms (2.1% of total)

Bogosity

preprocess63.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1904×	`fnmsub-define`
1860×	`fmm-def`
1388×	`fmsub-define`
1056×	`fma-define`
1044×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	27	20
2	49	20
3	89	20
4	161	13
5	318	12
6	562	12
7	1069	12
8	3154	12
9	5380	12
10	7158	12
0	5	5
1	11	5
2	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain104.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

51.0ms	314×	1	valid
10.0ms	198×	0	valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

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

ival-exp: 20.0ms (52.3% of total)

backward-pass: 8.0ms (20.9% of total)

ival-div: 5.0ms (13.1% of total)

ival-sub: 5.0ms (13.1% of total)

const: 1.0ms (2.6% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21
1	11	21
2	12	21
0	12	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize76.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	42.2%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Results

51.0ms	158×	1	valid
8.0ms	98×	0	valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-exp: 19.0ms (36.6% of total)

compiled-spec: 14.0ms (27% of total)

ival-div: 10.0ms (19.3% of total)

ival-sub: 5.0ms (9.6% of total)

backward-pass: 4.0ms (7.7% of total)

const: 1.0ms (1.9% of total)

series2.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite376.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3900×	`/-lowering-/.f32`
3900×	`/-lowering-/.f64`
2816×	`-lowering-.f32`
2816×	`-lowering-.f64`
1474×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	31	16
2	192	16
3	1880	16
0	8607	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 690

Calls

Call 1

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

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

simplify259.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2810×	`-lowering-.f32`
2810×	`-lowering-.f64`
2350×	`fma-define`
1828×	`fma-lowering-fma.f32`
1828×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	44	296
1	124	267
2	339	267
3	835	267
4	1619	267
5	2323	267
6	2575	267
7	2683	255
8	3111	255
9	3650	255
10	5052	255
11	6733	255
12	7300	255
13	7695	255
0	8075	255

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval108.0ms (1.1%)

Compiler: Compiled 21595 to 1205 computations (94.4% saved)

prune54.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	791	7	798
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	792	8	800

Accuracy

100.0%

Counts

800 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 (exp.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)))))))))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	98.2%	(/.f64 (exp.f64 x) x)
	40.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	63.4%	(/.f64 #s(literal 1 binary64) x)
▶	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
▶	63.3%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))

Compiler

Compiled 144 to 106 computations (26.4% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
✓	cost-diff	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.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	(.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	(exp.f64 x)
✓	cost-diff	(/.f64 (exp.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)))))))))

Rules

1578×	`fma-define`
1272×	`fma-lowering-fma.f32`
1272×	`fma-lowering-fma.f64`
422×	`sum3-define`
392×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	171
1	76	151
2	219	151
3	534	151
4	1136	151
5	1700	151
6	1929	151
7	1934	151
0	1934	151

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize178.0ms (1.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal -1/720 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/720 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	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	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	99.6%	(.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))

Results

100.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 31.0ms (47.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (21.5% of total)

ival-mult: 14.0ms (21.5% of total)

ival-div: 4.0ms (6.1% of total)

ival-exp: 2.0ms (3.1% of total)

const: 1.0ms (1.5% of total)

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

series12.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (* 24 (/ (exp x) (pow x 4)))>
#<alt (/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -384 (exp x)) (* 288 (exp x))) (pow x 2))) (* 24 (exp x))) (* 96 (/ (exp x) x))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1152 (exp x)) (+ (* -4 (+ (* -384 (exp x)) (* 288 (exp x)))) (* 576 (exp x)))) (pow x 3))) (* 24 (exp x))) (+ (* -384 (/ (exp x) (pow x 2))) (+ (* 96 (/ (exp x) x)) (* 288 (/ (exp x) (pow x 2)))))) (pow x 4))>
#<alt (* 24 (/ (exp x) (pow x 4)))>
#<alt (/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -288 (exp x)) (* 384 (exp x))) x)) (* 96 (exp x))) x)) (* 24 (exp x))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -288 (exp x)) (+ (* -1 (/ (+ (* -1152 (exp x)) (+ (* 4 (+ (* -288 (exp x)) (* 384 (exp x)))) (* 576 (exp x)))) x)) (* 384 (exp x)))) x)) (* 96 (exp x))) x)) (* 24 (exp x))) (pow x 4))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 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)>
#<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 (* 1/2 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 (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 1/12 (* x (* x -1/720))))
1.0ms	x	@	-inf	(/ (exp x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
1.0ms	x	@	inf	(/ (exp x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
1.0ms	x	@	0	(/ (exp x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
0.0ms	x	@	0	(* x (+ 1/12 (* x (* x -1/720))))

rewrite409.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3992×	`-lowering-.f32`
3992×	`-lowering-.f64`
2596×	`/-lowering-/.f32`
2596×	`/-lowering-/.f64`
1956×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	128
1	188	111
2	1919	111
0	8289	111

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 436

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.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)))))))) (exp.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 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)))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.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 (exp.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 #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)))))))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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)))))))) (exp.f64 x)) #s(literal 1 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))))))) (/.f64 (exp.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)))))))) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 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 (exp.f64 x) 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 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.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 (.f64 (exp.f64 x) #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 (exp.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)
(pow.f64 (/.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)))))))) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.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)))))))) (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.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 (exp.f64 x) x)) #s(literal -1 binary64))
(.f64 (exp.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) 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 (exp.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 #s(literal 1 binary64) x) (pow.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))))))) (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (exp.f64 x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)))))))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) 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 #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 (exp.f64 x) x))
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(+.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x) x)
(fma.f64 (.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)
(fma.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)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 #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 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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 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) (.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 #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 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x 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)))))))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.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))
(fma.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))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.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))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 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 (.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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 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))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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) (.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 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 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 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
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(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
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(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #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 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) 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))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) x)
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/720 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))

simplify256.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4082×	`-lowering-.f32`
4082×	`-lowering-.f64`
2288×	`+-lowering-+.f64`
2288×	`+-lowering-+.f32`
1932×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1487
1	628	1400
2	2111	1305
3	7748	1305
0	8532	1305

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(* 24 (/ (exp x) (pow x 4)))
(/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -384 (exp x)) (* 288 (exp x))) (pow x 2))) (* 24 (exp x))) (* 96 (/ (exp x) x))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1152 (exp x)) (+ (* -4 (+ (* -384 (exp x)) (* 288 (exp x)))) (* 576 (exp x)))) (pow x 3))) (* 24 (exp x))) (+ (* -384 (/ (exp x) (pow x 2))) (+ (* 96 (/ (exp x) x)) (* 288 (/ (exp x) (pow x 2)))))) (pow x 4))
(* 24 (/ (exp x) (pow x 4)))
(/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -288 (exp x)) (* 384 (exp x))) x)) (* 96 (exp x))) x)) (* 24 (exp x))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -288 (exp x)) (+ (* -1 (/ (+ (* -1152 (exp x)) (+ (* 4 (+ (* -288 (exp x)) (* 384 (exp x)))) (* 576 (exp x)))) x)) (* 384 (exp x)))) x)) (* 96 (exp x))) x)) (* 24 (exp x))) (pow x 4))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* 1/12 x)
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 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)
(* 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))))
(* 1/2 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)))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))))))) x)
(* 24 (/ (exp x) (pow x 4)))
(/.f64 (*.f64 #s(literal 24 binary64) (exp.f64 x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))
(/.f64 (*.f64 (exp.f64 x) (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -1 (/ (+ (* -384 (exp x)) (* 288 (exp x))) (pow x 2))) (* 24 (exp x))) (* 96 (/ (exp x) x))) (pow x 4))
(/.f64 (-.f64 (.f64 #s(literal 24 binary64) (exp.f64 x)) (/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -1 (/ (+ (* -1152 (exp x)) (+ (* -4 (+ (* -384 (exp x)) (* 288 (exp x)))) (* 576 (exp x)))) (pow x 3))) (* 24 (exp x))) (+ (* -384 (/ (exp x) (pow x 2))) (+ (* 96 (/ (exp x) x)) (* 288 (/ (exp x) (pow x 2)))))) (pow x 4))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 24 binary64) (exp.f64 x)) (/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x))) x)) (/.f64 (+.f64 (.f64 (exp.f64 x) #s(literal -1152 binary64)) (.f64 (exp.f64 x) #s(literal 960 binary64))) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* 24 (/ (exp x) (pow x 4)))
(/.f64 (*.f64 #s(literal 24 binary64) (exp.f64 x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -96 (/ (exp x) x)) (* 24 (exp x))) (pow x 4))
(/.f64 (*.f64 (exp.f64 x) (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -288 (exp x)) (* 384 (exp x))) x)) (* 96 (exp x))) x)) (* 24 (exp x))) (pow x 4))
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(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(+ 1/12 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(+ 1/12 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))

eval92.0ms (1%)

Compiler: Compiled 22343 to 1828 computations (91.8% saved)

prune95.0ms (1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	739	8	747
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	740	15	755

Accuracy

100.0%

Counts

755 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
▶	89.5%	(/.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)))))))))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.2%	(/.f64 (exp.f64 x) x)
▶	25.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
	40.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
	89.0%	(/.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)))))))))
✓	63.4%	(/.f64 #s(literal 1 binary64) x)
	37.1%	(+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
✓	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	63.3%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
	24.6%	(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
▶	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 366 to 254 computations (30.6% saved)

simplify253.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 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 binary64) x)
✓	cost-diff	0	(/.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)))))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	128	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) x)

Rules

2992×	`fma-lowering-fma.f32`
2992×	`fma-lowering-fma.f64`
2268×	`-lowering-.f32`
2268×	`-lowering-.f64`
1748×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	37	229
1	99	204
2	263	203
3	678	203
4	1419	203
5	2301	203
6	3478	202
7	7638	202
0	8383	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
x
1/2
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* -1/720 (* x x))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(/ 1 x)
1
x
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
(* x (* -1/720 (* x x)))
(* -1/720 (* x x))
-1/720
(* x x)
(/ (+ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(+ 1 x)
1
x
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
1
(/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x)))))
(+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))
(/ 1 (* x x))
(* x x)
x
(- 1/4 (/ 1/2 x))
1/4
(/ 1/2 x)
1/2
(+ 1/8 (/ 1 (* x (* x x))))
1/8
(/ 1 (* x (* x x)))
(* x (* x x))

Outputs
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)
x
1/2
#s(literal 1/2 binary64)
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* -1/720 (* x x))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1/2 (* x 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* x (* -1/720 (* x x)))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (* x x))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
-1/720
#s(literal -1/720 binary64)
(* x x)
(*.f64 x x)
(/ (+ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 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)))))))
(* 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)
(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
1
#s(literal 1 binary64)
(/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(- 1/4 (/ 1/2 x))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))
1/4
#s(literal 1/4 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/8 (/ 1 (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
1/8
#s(literal 1/8 binary64)
(/ 1 (* x (* x x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))

localize161.0ms (1.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	62.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	99.6%	(.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	97.1%	(/.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)))))))))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Results

106.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 16.0ms (25.8% of total)

...c/correct-round.rkt:119:19: 15.0ms (24.2% of total)

ival-div: 14.0ms (22.6% of total)

ival-add: 13.0ms (21% of total)

ival-exp: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

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

series9.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ 1 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>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 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 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* x (- (* 1/4 x) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* x (- (* 1/4 x) 1/2))) (pow x 2))>
#<alt 1/4>
#<alt (- 1/4 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt 1/4>
#<alt (- 1/4 (* 1/2 (/ 1 x)))>
#<alt (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x)))>
#<alt (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) 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 (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (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 (pow x 3)>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
1.0ms	x	@	-inf	(/ (exp x) x)
0.0ms	x	@	-inf	(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
0.0ms	x	@	inf	(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
0.0ms	x	@	inf	(/ (+ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))

rewrite312.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2544×	`fma-lowering-fma.f32`
2544×	`fma-lowering-fma.f64`
2512×	`-lowering-.f32`
2512×	`-lowering-.f64`
1724×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	167
1	270	120
2	2820	120
0	8258	120

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 477

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
(+ (+ (/ 1 x) (+ 1/2 (* x 1/12))) (* x (* -1/720 (* x x))))
(+ (/ 1 x) (+ 1/2 (* x 1/12)))
(/ 1 x)
(+ 1/2 (* x 1/12))
(/ (+ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(+ 1 x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(/ 1 (/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x))))))
(/ (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) (+ 1/8 (/ 1 (* x (* x x)))))
(+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))
(/ 1 (* x x))
(* x 1/12)
(* -1/720 (* x x))
(* x (* -1/720 (* x x)))
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(/ 1 (* x (* x x)))
(* x (* x x))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) x))
(neg.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(+.f64 (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x #s(literal 1/12 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))))
(fma.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))
(fma.f64 #s(literal -1/720 binary64) (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) x))))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify257.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4182×	`-lowering-.f32`
4182×	`-lowering-.f64`
2180×	`+-lowering-+.f64`
2180×	`+-lowering-+.f32`
1782×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	1508
1	737	1390
2	2275	1361
3	7414	1361
0	8253	1361

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)
(/ 24 (pow x 3))
(/ (- 24 (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 x)) (pow x 2))
(/ (+ 1 (* x (- (* 1/4 x) 1/2))) (pow x 2))
(/ (+ 1 (* x (- (* 1/4 x) 1/2))) (pow x 2))
1/4
(- 1/4 (* 1/2 (/ 1 x)))
(- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))
(- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))
1/4
(- 1/4 (* 1/2 (/ 1 x)))
(+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x)))
(+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) 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))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (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)
(pow x 3)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))) x)
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/12 binary64))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/12 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* 1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -5/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -5/12 binary64)))))) x)
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (- 24 (* 72 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -72 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 288 binary64) (.f64 x x)) #s(literal -72 binary64)) x)) (.f64 x (*.f64 x x)))
(/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 288 binary64) (.f64 x x)) #s(literal -72 binary64)) x)) (/.f64 #s(literal 576 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -72 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) x) #s(literal -24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))
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1
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x
(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (* 1/2 x)))
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(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
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#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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x
(* x (+ 1 (* -1/2 x)))
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2
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2
#s(literal 2 binary64)
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1/4
#s(literal 1/4 binary64)
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(/ 1 (pow x 2))
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(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
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(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.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)
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
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(* 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)))
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(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
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(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
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(* (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))))
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(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
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(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval91.0ms (1%)

Compiler: Compiled 18200 to 1851 computations (89.8% saved)

prune80.0ms (0.8%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	718	11	729
Fresh	2	3	5
Picked	2	3	5
Done	0	5	5
Total	722	22	744

Accuracy

100.0%

Counts

744 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
	69.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
	63.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
	43.4%	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
▶	69.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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)))))))))
	66.1%	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
	29.6%	(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
▶	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.2%	(/.f64 (exp.f64 x) x)
	28.7%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
	40.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	89.7%	(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
▶	87.0%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
✓	63.4%	(/.f64 #s(literal 1 binary64) x)
	37.1%	(+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
	62.6%	(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	63.3%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
✓	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 793 to 422 computations (46.8% saved)

simplify219.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 (.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))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
✓	cost-diff	0	(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))

Rules

3460×	`+-lowering-+.f64`
3460×	`+-lowering-+.f32`
2932×	`-lowering-.f32`
2932×	`-lowering-.f64`
1392×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	507
1	150	430
2	622	419
3	2765	415
0	8199	415

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
1
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))))
x
(+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))
(* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))
(+ -1/2 (* x (+ 1/4 (* x -1/8))))
-1/2
(* x (+ 1/4 (* x -1/8)))
(+ 1/4 (* x -1/8))
1/4
(* x -1/8)
-1/8
(/ (+ 1 x) x)
(+ 1 x)
1
x
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x 1/4))))))
1
(* x (+ 1 (* x (+ -1/2 (* x 1/4)))))
x
(+ 1 (* x (+ -1/2 (* x 1/4))))
(* x (+ -1/2 (* x 1/4)))
(+ -1/2 (* x 1/4))
-1/2
(* x 1/4)
1/4
(/ (- 1 (* x x)) (* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x)))
(- 1 (* x x))
1
(* x x)
x
(* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(- 1 x)
(/ (+ 1 x) (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(+ 1 x)
1
x
(/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x 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))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))

Outputs
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
1
#s(literal 1 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
x
(+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(+ -1/2 (* x (+ 1/4 (* x -1/8))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/4 (* x -1/8)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))
(+ 1/4 (* x -1/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* x -1/8)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x 1/4))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64))))))
1
#s(literal 1 binary64)
(* x (+ 1 (* x (+ -1/2 (* x 1/4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
x
(+ 1 (* x (+ -1/2 (* x 1/4))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))
(* x (+ -1/2 (* x 1/4)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64))))
(+ -1/2 (* x 1/4))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(/ (- 1 (* x x)) (* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) 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))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 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 x (-.f64 #s(literal 1 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)))))))
(* 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)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 (+.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 -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #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)
1
#s(literal 1 binary64)
x
(/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(.f64 x (/.f64 (+.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 -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(.f64 x (+.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 -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+.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 -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 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)
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))

localize254.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.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	97.1%	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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	76.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	99.6%	(.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	78.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))
✓	accuracy	99.9%	(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))

Results

139.0ms

256×

valid

Compiler

Compiled 511 to 44 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-add: 30.0ms (33.9% of total)

ival-mult: 26.0ms (29.4% of total)

ival-div: 16.0ms (18.1% of total)

...c/correct-round.rkt:119:19: 9.0ms (10.2% of total)

ival-sub: 6.0ms (6.8% of total)

const: 1.0ms (1.1% of total)

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

series24.0ms (0.3%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))))>
#<alt (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))>
#<alt (* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (/ 1 (* x (+ 1 (* x (+ -1/2 (* x 1/4))))))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x 1/4)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/4))))>
#<alt (* x (+ -1/2 (* x 1/4)))>
#<alt (/ (- 1 (* x x)) (* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x)))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x))>
#<alt (/ (+ 1 x) (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))>
#<alt (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)>
#<alt (* x (+ 1/4 (* x -1/8)))>
#<alt (* x 1/4)>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)>
#<alt (/ -8 (pow x 4))>
#<alt (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))>
#<alt (/ -8 (pow x 4))>
#<alt (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* -1/16 x) 1/8))))) x)>
#<alt (/ 4 (pow x 3))>
#<alt (/ (+ 4 (* 8 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 4 (* 8 (/ 1 x))) (/ 32 (pow x 3))) (pow x 3))>
#<alt (/ (+ 4 (+ (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 3))) (* 8 (/ 1 x)))) (pow x 3))>
#<alt (/ 4 (pow x 3))>
#<alt (/ (+ 4 (* 8 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) x)) 4) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 2)))) x)) 4) (pow x 3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* 1/4 (pow x 3))>
#<alt (* (pow x 3) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/4)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* -1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1/8 x) 1/3)) 1/2))))>
#<alt (* -1/24 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/24 (* 1/8 (/ 1 x)))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/3 (/ 1 x))) x)) 1/24))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) (pow x 2))) (+ 1/24 (* 1/8 (/ 1 x)))))>
#<alt (* -1/24 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/24 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/24 (+ (/ 1/3 (pow x 2)) (* 1/8 (/ 1 x))))))>
#<alt (* -1 (* (pow x 5) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/8) x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/4 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))>
#<alt (* -1/576 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))>
#<alt (* -1/576 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x)))))>
#<alt (* -1 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))))>
#<alt (* -1 (* (pow x 7) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x)))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/8 x)))>
#<alt (* x (+ 1/4 (* -1/8 x)))>
#<alt (* x (+ 1/4 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 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))))>

Calls

66 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(* x 1/4)
3.0ms	x	@	0	(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
1.0ms	x	@	inf	(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
0.0ms	x	@	-inf	(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
0.0ms	x	@	inf	(/ (+ 1 x) (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))

rewrite358.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2776×	`fma-lowering-fma.f32`
2776×	`fma-lowering-fma.f64`
2754×	`-lowering-.f32`
2754×	`-lowering-.f64`
1832×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	284
1	325	197
2	3296	196
0	8169	196

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 565

Calls

Call 1

Inputs
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))))
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/4 (* x -1/8))))))
(* x (+ -1/2 (* x (+ 1/4 (* x -1/8)))))
(/ (+ 1 x) x)
(+ 1 x)
(/ 1 (* x (+ 1 (* x (+ -1/2 (* x 1/4))))))
(* x (+ 1 (* x (+ -1/2 (* x 1/4)))))
(+ 1 (* x (+ -1/2 (* x 1/4))))
(* x (+ -1/2 (* x 1/4)))
(/ (- 1 (* x x)) (* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x)))
(- 1 (* x x))
(* x x)
(* (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (- 1 x))
(/ (+ 1 x) (/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ (* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(* (- 1 (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(* x (+ 1/4 (* x -1/8)))
(* x 1/4)
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))

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

simplify338.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4174×	`-lowering-.f32`
4174×	`-lowering-.f64`
3386×	`+-lowering-+.f64`
3386×	`+-lowering-+.f32`
2586×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	2180
1	1173	2026
2	3619	1995
0	8427	1995

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)
(/ -8 (pow x 4))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))
(/ -8 (pow x 4))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* -1/2 x)
(* x (- (* 1/4 x) 1/2))
(* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))
(* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* -1/16 x) 1/8))))) x)
(/ 4 (pow x 3))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 3))
(/ (- (+ 4 (* 8 (/ 1 x))) (/ 32 (pow x 3))) (pow x 3))
(/ (+ 4 (+ (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 3))) (* 8 (/ 1 x)))) (pow x 3))
(/ 4 (pow x 3))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) x)) 4) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 2)))) x)) 4) (pow x 3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* 1/4 (pow x 3))
(* (pow x 3) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1/2 x)
(* x (- (* 1/4 x) 1/2))
(* x (- (* 1/4 x) 1/2))
(* x (- (* 1/4 x) 1/2))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)
(/ 24 (pow x 3))
(/ (- 24 (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* -1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (- (* -1/8 x) 1/3)) 1/2))))
(* -1/24 (pow x 5))
(* -1 (* (pow x 5) (+ 1/24 (* 1/8 (/ 1 x)))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/3 (/ 1 x))) x)) 1/24))
(* (pow x 5) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) (pow x 2))) (+ 1/24 (* 1/8 (/ 1 x)))))
(* -1/24 (pow x 5))
(* -1 (* (pow x 5) (+ 1/24 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/24 (+ (/ 1/3 (pow x 2)) (* 1/8 (/ 1 x))))))
(* -1 (* (pow x 5) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/8) x)))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -5/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/12 x) 5/12))))) x)
(/ 24 (pow x 3))
(/ (- 24 (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 288 (pow x 3))) (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 576 (/ 1 (pow x 4))) (/ 288 (pow x 3)))) (* 72 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 72 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 288 (/ 1 (pow x 2))) 72) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 288 (/ 1 (pow x 2))) (/ 576 (pow x 3))) 72) x)) 24) (pow x 3)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
x
(* x (+ 1 (* -1/4 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))
(* x (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))
(* -1/576 (pow x 7))
(* -1 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x)))))
(* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))
(* (pow x 7) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))
(* -1/576 (pow x 7))
(* -1 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x)))))
(* -1 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))))
(* -1 (* (pow x 7) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x)))))
(* 1/4 x)
(* x (+ 1/4 (* -1/8 x)))
(* x (+ 1/4 (* -1/8 x)))
(* x (+ 1/4 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
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))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) x)))) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))))) x)
(/ -8 (pow x 4))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -128 binary64) (/.f64 #s(literal -256 binary64) x)) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x))) (.f64 (.f64 x (.f64 x x)) x))
(/ -8 (pow x 4))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -256 binary64) (.f64 (.f64 x (.f64 x x)) x))) x)) (.f64 (.f64 x (.f64 x x)) x))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(* -1/8 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/8 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(* -1/8 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/8 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/4 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64))))
(* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* -1/16 x) 1/8))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal -1/16 binary64)))))))) x)
(/ 4 (pow x 3))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(/ (+ 4 (* 8 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 4 (* 8 (/ 1 x))) (/ 32 (pow x 3))) (pow x 3))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal 32 binary64) x) x)) x)) (.f64 x (.f64 x x)))
(/ (+ 4 (+ (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 3))) (* 8 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) x)) (.f64 x x))) x)) (.f64 x (*.f64 x x)))
(/ 4 (pow x 3))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(/ (+ 4 (* 8 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) x)) 4) (pow x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 32 binary64) x) x)) x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (+ 32 (* 64 (/ 1 x))) (pow x 2)))) x)) 4) (pow x 3)))
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) x)) (.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- 1/4 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* 1/4 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/4)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/4 x) 1/2)))
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(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) x) x)
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) x) x)
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) x) x)
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) x) x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/24 binary64))))
(* 1/24 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))

eval163.0ms (1.7%)

Compiler: Compiled 33267 to 2305 computations (93.1% saved)

prune118.0ms (1.2%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	991	15	1006
Fresh	4	5	9
Picked	5	0	5
Done	0	8	8
Total	1000	28	1028

Accuracy

100.0%

Counts

1028 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
	89.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
	65.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
	67.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
	76.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
	13.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
	63.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
	66.5%	(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
	27.9%	(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.2%	(/.f64 (exp.f64 x) x)
	28.7%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
	89.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
	66.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
	40.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
	89.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
	31.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
	91.7%	(/.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)))
✓	63.4%	(/.f64 #s(literal 1 binary64) x)
	29.4%	(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
	37.1%	(+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
	62.6%	(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	63.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	63.3%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
✓	62.9%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
	3.8%	#s(literal 1 binary64)
✓	3.4%	#s(literal 1/2 binary64)

Compiler

Compiled 1513 to 493 computations (67.4% saved)

regimes64.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (exp.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 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

37.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
12.0ms	x
9.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes28.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (exp.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)))))))))

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

Calls

2 calls:

13.0ms	x
9.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes27.0ms (0.3%)

Counts

40 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))

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

Calls

2 calls:

12.0ms	x
10.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes16.0ms (0.2%)

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
95.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))

Outputs

(/.f64 #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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
95.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
95.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

33 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) 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)))))))))

Outputs

(/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
94.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x 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) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) x)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))

Outputs

(/.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)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
91.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 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 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.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)))))))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
89.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes27.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(/.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)))))))))

Outputs
(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))

Outputs

(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
89.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))

Outputs
(/.f64 #s(literal -8 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
87.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-4.6207672828296284e+52	-1.6600439055708394e+49

Results

5.0ms

128×

valid

Compiler

Compiled 972 to 344 computations (64.6% saved)

Precisions

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

ival-sub: 1.0ms (37.4% of total)

ival-div: 1.0ms (37.4% of total)

ival-exp: 1.0ms (37.4% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.6207672828296284e+52	-1.6600439055708394e+49

Results

5.0ms

128×

valid

Compiler

Compiled 764 to 312 computations (59.2% saved)

Precisions

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

ival-sub: 1.0ms (37.9% of total)

ival-div: 1.0ms (37.9% of total)

ival-exp: 1.0ms (37.9% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-4.6207672828296284e+52	-1.6600439055708394e+49

Results

5.0ms

128×

valid

Compiler

Compiled 572 to 336 computations (41.3% saved)

Precisions

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

ival-sub: 1.0ms (38.1% of total)

ival-div: 1.0ms (38.1% of total)

ival-exp: 1.0ms (38.1% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7.741867774253804e+80	-1.0650540252649184e+77

Results

6.0ms

128×

valid

Compiler

Compiled 396 to 240 computations (39.4% saved)

Precisions

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

ival-exp: 2.0ms (54.9% of total)

ival-sub: 1.0ms (27.4% of total)

ival-div: 1.0ms (27.4% 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	-20.846429504370075	-6.154029084220862e-15

Results

7.0ms

160×

valid

Compiler

Compiled 272 to 198 computations (27.2% saved)

Precisions

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

ival-exp: 2.0ms (52.6% of total)

ival-sub: 1.0ms (26.3% of total)

ival-div: 1.0ms (26.3% 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
13.0ms	-20.846429504370075	-6.154029084220862e-15

Results

7.0ms

160×

valid

Compiler

Compiled 232 to 168 computations (27.6% saved)

Precisions

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

ival-exp: 2.0ms (51.3% of total)

ival-sub: 1.0ms (25.6% of total)

ival-div: 1.0ms (25.6% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-20.846429504370075	-6.154029084220862e-15

Results

7.0ms

160×

valid

Compiler

Compiled 212 to 158 computations (25.5% saved)

Precisions

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

ival-exp: 2.0ms (52.4% of total)

ival-sub: 1.0ms (26.2% of total)

ival-div: 1.0ms (26.2% 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	-20.846429504370075	-6.154029084220862e-15

Results

9.0ms

160×

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

Precisions

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

ival-exp: 3.0ms (55.6% of total)

ival-sub: 1.0ms (18.5% of total)

ival-div: 1.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

112×	`*-commutative_binary64`
84×	`unsub-neg_binary64`
82×	`+-commutative_binary64`
80×	`neg-mul-1_binary64`
66×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	522
1	179	522
2	221	522
3	255	522
4	315	522
5	400	522
6	441	522
7	463	522
8	483	522
9	493	522
10	494	522

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.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 (exp.f64 x) x)
(if (<=.f64 x #s(literal -6999999999999999952546640720531395835231959093608448 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 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #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 -4700000000000000233984057926482826070131441733206016 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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -2399999999999999850807477239976319853127394232631296 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(if (<=.f64 x #s(literal -119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (*.f64 x x)))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) 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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(if (<=.f64 x #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/2251799813685248 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -11/2 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.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 (exp.f64 x) x)
(if (<=.f64 x #s(literal -6999999999999999952546640720531395835231959093608448 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 1 binary64) x) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 #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 -6999999999999999952546640720531395835231959093608448 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 x #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #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 x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #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 -4700000000000000233984057926482826070131441733206016 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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -4700000000000000233984057926482826070131441733206016 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 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))) #s(literal -1 binary64)))))))
(if (<=.f64 x #s(literal -2399999999999999850807477239976319853127394232631296 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 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 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 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(if (<=.f64 x #s(literal -119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 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 #s(literal 1 binary64) (*.f64 x x)))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))) (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(/.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 1/4 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(if (<=.f64 x #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/2251799813685248 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/2251799813685248 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -11/2 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

soundness2.8s (30.1%)

Rules

4182×	`-lowering-.f32`
4182×	`-lowering-.f64`
4174×	`-lowering-.f32`
4174×	`-lowering-.f64`
4082×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
1	188	111
2	1919	111
0	8289	111
0	228	1508
1	737	1390
2	2275	1361
3	7414	1361
0	8253	1361
0	43	284
1	325	197
2	3296	196
0	8169	196
0	37	167
1	270	120
2	2820	120
0	8258	120
0	44	296
1	124	267
2	339	267
3	835	267
4	1619	267
5	2323	267
6	2575	267
7	2683	255
8	3111	255
9	3650	255
10	5052	255
11	6733	255
12	7300	255
13	7695	255
0	8075	255
0	376	2180
1	1173	2026
2	3619	1995
0	8427	1995
0	200	1487
1	628	1400
2	2111	1305
3	7748	1305
0	8532	1305
0	5	5
1	11	5
2	12	5
0	12	5

Stop Event

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

Compiler

Compiled 1477 to 794 computations (46.2% saved)

preprocess94.0ms (1%)

Compiler: Compiled 1076 to 244 computations (77.3% saved)

Iter	Nodes	Cost
0	111	522
1	179	522
2	221	522
3	255	522
4	315	522
5	400	522
6	441	522
7	463	522
8	483	522
9	493	522
10	494	522

Iter	Nodes	Cost
0	111	522
1	179	522
2	221	522
3	255	522
4	315	522
5	400	522
6	441	522
7	463	522
8	483	522
9	493	522
10	494	522

analyze169.0ms (1.8%)

sample1.1s (11.9%)

preprocess63.0ms (0.7%)

explain104.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize76.0ms (0.8%)

series2.0ms (0%)

rewrite376.0ms (4%)

simplify259.0ms (2.7%)

eval108.0ms (1.1%)

prune54.0ms (0.6%)

simplify62.0ms (0.7%)

localize178.0ms (1.9%)

series12.0ms (0.1%)

rewrite409.0ms (4.3%)

simplify256.0ms (2.7%)

eval92.0ms (1%)

prune95.0ms (1%)

simplify253.0ms (2.7%)

localize161.0ms (1.7%)

series9.0ms (0.1%)

rewrite312.0ms (3.3%)

simplify257.0ms (2.7%)

eval91.0ms (1%)

prune80.0ms (0.8%)

simplify219.0ms (2.3%)

localize254.0ms (2.7%)

series24.0ms (0.3%)

rewrite358.0ms (3.8%)

simplify338.0ms (3.6%)

eval163.0ms (1.7%)

prune118.0ms (1.2%)

regimes64.0ms (0.7%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes16.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes38.0ms (0.4%)

regimes8.0ms (0.1%)

regimes27.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch11.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch15.0ms (0.2%)

simplify28.0ms (0.3%)

soundness2.8s (30.1%)

preprocess94.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	111	522
1	179	522
2	221	522
3	255	522
4	315	522
5	400	522
6	441	522
7	463	522
8	483	522
9	493	522
10	494	522