Metrics for expq2 (section 3.11)

analyze155.0ms (1.6%)

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: 55.0ms

ival-exp: 17.0ms (30.8% of total)

ival-sub: 14.0ms (25.4% of total)

ival->: 11.0ms (19.9% of total)

ival-div: 10.0ms (18.1% of total)

const: 3.0ms (5.4% of total)

backward-pass: 1.0ms (1.8% of total)

sample1.5s (15.1%)

Results

1.1s	5289×	1	valid
147.0ms	2967×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 702.0ms

ival-exp: 414.0ms (58.9% of total)

ival-sub: 92.0ms (13.1% of total)

ival-div: 78.0ms (11.1% of total)

backward-pass: 60.0ms (8.5% of total)

ival->: 44.0ms (6.3% of total)

const: 15.0ms (2.1% of total)

Bogosity

preprocess61.0ms (0.6%)

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	3156	12
9	5381	12
10	7162	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))

explain115.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
162	-	-	`(-.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

53.0ms	318×	1	valid
15.0ms	194×	0	valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

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

ival-exp: 24.0ms (58.1% of total)

ival-div: 7.0ms (16.9% of total)

ival-sub: 5.0ms (12.1% of total)

backward-pass: 4.0ms (9.7% of total)

const: 1.0ms (2.4% 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
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(expm1.f64 x)
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(/.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	10
1	11	10
2	12	10
0	12	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize47.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

30.0ms	159×	1	valid
8.0ms	97×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

ival-exp: 18.0ms (40.4% of total)

compiled-spec: 18.0ms (40.4% of total)

ival-div: 3.0ms (6.7% of total)

ival-sub: 3.0ms (6.7% of total)

backward-pass: 3.0ms (6.7% of total)

const: 1.0ms (2.2% of total)

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

Calls

9 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)

rewrite360.0ms (3.7%)

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	9
1	31	9
2	193	9
3	1887	9
0	8645	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 351

Calls

Call 1

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

simplify247.0ms (2.5%)

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	169
1	124	151
2	340	148
3	840	148
4	1630	148
5	2338	148
6	2590	148
7	2698	142
8	3126	142
9	3682	142
10	5083	142
11	6757	142
12	7332	142
13	7730	142
0	8122	142

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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)

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 #s(literal -1/720 binary64) (*.f64 x x)))))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.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)

eval52.0ms (0.5%)

Compiler: Compiled 10663 to 1161 computations (89.1% saved)

prune48.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	380	7	387
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	380	8	388

Accuracy

100.0%

Counts

388 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	98.2%	(/.f64 (exp.f64 x) x)
	39.5%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	64.5%	(/.f64 #s(literal 1 binary64) x)
▶	64.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
▶	64.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	64.5%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 122 to 90 computations (26.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/12 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	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (expm1.f64 x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))

Rules

140×	`fma-define`
136×	`fma-lowering-fma.f32`
136×	`fma-lowering-fma.f64`
130×	`sum3-define`
108×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	50	87
2	115	87
3	205	87
4	293	87
5	313	87
0	313	87

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize169.0ms (1.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	accuracy	99.4%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	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	99.4%	(*.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	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (expm1.f64 x))

Results

92.0ms	158×	1	valid
31.0ms	97×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 111 to 20 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

compiled-spec: 20.0ms (22% of total)

ival-exp: 15.0ms (16.5% of total)

ival-mult: 14.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (14.3% of total)

backward-pass: 11.0ms (12.1% of total)

ival-add: 9.0ms (9.9% of total)

ival-div: 6.0ms (6.6% of total)

ival-sub: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

series8.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

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

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

39 calls:

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

rewrite396.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
2346×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	137	59
2	1332	59
0	8897	59

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 484

Calls

Call 1

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

Outputs
(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))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x)))))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
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(fma.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 (.f64 x (+.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 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.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 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/720 binary64)))) (.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #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 x) #s(literal -1/720 binary64))
(.f64 (.f64 x #s(literal -1/720 binary64)) x)
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #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 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))
(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 x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #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 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #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) (neg.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.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 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/720 binary64))) #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 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal -1/8640 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.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 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))
(/.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 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal -1/8640 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #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 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.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)))))
(/.f64 (neg.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 (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #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 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) #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 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))

simplify231.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3808×	`-lowering-.f32`
3808×	`-lowering-.f64`
2822×	`+-lowering-+.f64`
2822×	`+-lowering-+.f32`
1434×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	899
1	294	806
2	929	761
3	3167	695
0	9126	695

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval104.0ms (1.1%)

Compiler: Compiled 22080 to 1802 computations (91.8% saved)

prune84.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	752	5	757
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	753	12	765

Accuracy

100.0%

Counts

765 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.7%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
▶	64.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.2%	(/.f64 (exp.f64 x) x)
	39.5%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	64.5%	(/.f64 #s(literal 1 binary64) x)
▶	34.8%	(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	64.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	64.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	64.5%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
▶	34.6%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 274 to 160 computations (41.6% saved)

simplify162.0ms (1.7%)

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 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
✓	cost-diff	128	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) x)

Rules

1980×	`fmsub-define`
1866×	`sum3-define`
1814×	`fnmsub-define`
1784×	`fma-lowering-fma.f32`
1784×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	69	141
2	163	141
3	320	141
4	600	141
5	1462	141
6	4857	141
0	8079	141

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 (* x (+ 1/2 (* x 1/12))))
1
(* x (+ 1/2 (* x 1/12)))
x
(+ 1/2 (* x 1/12))
1/2
(* x 1/12)
1/12
(* (+ (/ 1 (* x x)) -1/4) (/ 1 (+ (/ 1 x) -1/2)))
(+ (/ 1 (* x x)) -1/4)
(/ 1 (* x x))
1
(* x x)
x
-1/4
(/ 1 (+ (/ 1 x) -1/2))
(+ (/ 1 x) -1/2)
(/ 1 x)
-1/2
(+ (/ (- 1/4 (/ 1 (* x x))) (- 1/2 (/ 1 x))) (* x (+ 1/12 (* -1/720 (* x x)))))
(/ (- 1/4 (/ 1 (* x x))) (- 1/2 (/ 1 x)))
(- 1/4 (/ 1 (* x x)))
1/4
(/ 1 (* x x))
1
(* x x)
x
(- 1/2 (/ 1 x))
1/2
(/ 1 x)
(* x (+ 1/12 (* -1/720 (* x x))))
(+ 1/12 (* -1/720 (* x x)))
1/12
(* -1/720 (* x x))
-1/720

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

localize131.0ms (1.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	accuracy	99.4%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	70.7%	(/.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)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	70.8%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	83.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Results

84.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions

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

ival-mult: 17.0ms (33.4% of total)

ival-div: 11.0ms (21.6% of total)

ival-add: 9.0ms (17.7% of total)

...c/correct-round.rkt:119:19: 8.0ms (15.7% of total)

ival-exp: 2.0ms (3.9% of total)

ival-sub: 2.0ms (3.9% of total)

const: 1.0ms (2% of total)

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

series11.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
1.0ms	x	@	-inf	(/ (exp x) x)
0.0ms	x	@	-inf	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
0.0ms	x	@	inf	(/ (exp x) x)
0.0ms	x	@	-inf	(* (+ (/ 1 (* x x)) -1/4) (/ 1 (+ (/ 1 x) -1/2)))

rewrite439.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4510×	`-lowering-.f32`
4510×	`-lowering-.f64`
2648×	`/-lowering-/.f32`
2648×	`/-lowering-/.f64`
2444×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	112
1	207	85
2	1968	85
0	8530	85

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 857

Calls

Call 1

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

simplify210.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2984×	`-lowering-.f32`
2984×	`-lowering-.f64`
1972×	`+-lowering-+.f64`
1972×	`+-lowering-+.f32`
1536×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1299
1	393	1122
2	1215	1031
3	3888	923
0	8017	923

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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 (* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* x (+ 1/2 (* 1/12 x)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 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 (* 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 (pow x 2))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
-1/4
(- (/ 1 (pow x 2)) 1/4)
(- (/ 1 (pow x 2)) 1/4)
(- (/ 1 (pow x 2)) 1/4)
-1/4
(- (/ 1 (pow x 2)) 1/4)
(- (/ 1 (pow x 2)) 1/4)
(- (/ 1 (pow x 2)) 1/4)
(/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 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 (* 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 (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 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)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) 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 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))))))

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) 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 (* 1/12 x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* 1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
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) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x))
(/ (+ 1 (* -1/4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(- (/ 1 (pow x 2)) 1/4)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 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 #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 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* -1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (.f64 x x))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1/12 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
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 (* 1/4 x)))))
(.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 (* 1/8 x)))))))
(.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))))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x))
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x) #s(literal 4 binary64))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x))
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x)) x) #s(literal -2 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))
(.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))
(.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))
(.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))
(.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))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/720 binary64))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))

eval197.0ms (2%)

Compiler: Compiled 56488 to 2911 computations (94.8% saved)

prune118.0ms (1.2%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1140	4	1144
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	1141	15	1156

Accuracy

100.0%

Counts

1156 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.7%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
✓	64.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
▶	64.2%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
▶	63.9%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.2%	(/.f64 (exp.f64 x) x)
	39.5%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	64.5%	(/.f64 #s(literal 1 binary64) x)
▶	32.5%	(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	34.8%	(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	64.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	64.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	64.5%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
▶	51.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 395 to 192 computations (51.4% saved)

simplify230.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	256	(-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	2432	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	2432	(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))
✓	cost-diff	2048	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)

Rules

4074×	`+-lowering-+.f64`
4074×	`+-lowering-+.f32`
3406×	`-lowering-.f32`
3406×	`-lowering-.f64`
1988×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	346
1	139	331
2	481	315
3	2068	281
0	8484	281

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ 1 (* x 1/2)) x)
(+ 1 (* x 1/2))
1
(* x 1/2)
x
1/2
(/ (+ 1 x) x)
(+ 1 x)
1
x
(* (/ 1 (* x x)) (/ 1 (+ (/ 1 x) -1/2)))
(/ 1 (* x x))
1
(* x x)
x
(/ 1 (+ (/ 1 x) -1/2))
(+ (/ 1 x) -1/2)
(/ 1 x)
-1/2
(/ (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720)))))) (+ (/ 1 x) (- 1/2 (* x (+ 1/12 (* x (* x -1/720)))))))
(- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720))))))
(* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))
(+ (/ 1 x) 1/2)
(/ 1 x)
1
x
1/2
(* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720)))))
(* x (+ 1/12 (* x (* x -1/720))))
(+ 1/12 (* x (* x -1/720)))
1/12
(* x (* x -1/720))
(* x -1/720)
-1/720
(+ (/ 1 x) (- 1/2 (* x (+ 1/12 (* x (* x -1/720))))))
(- 1/2 (* x (+ 1/12 (* x (* x -1/720)))))
(+ (/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (* x (+ 1/12 (* -1/720 (* x x)))))
(/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
(- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
(* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2)))
(/ -1/4 (+ (/ 1 x) -1/2))
-1/4
(+ (/ 1 x) -1/2)
(/ 1 x)
1
x
-1/2
(* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))
(/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))
(/ 1 (* x x))
(* x x)
(- 1/2 (/ 1 x))
1/2
(+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))
(* x (+ 1/12 (* -1/720 (* x x))))
(+ 1/12 (* -1/720 (* x x)))
1/12
(* -1/720 (* x x))
-1/720

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

localize192.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	70.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	70.7%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.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	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
✓	accuracy	45.6%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)

Results

112.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 531 to 42 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 20.0ms (31.4% of total)

ival-div: 15.0ms (23.6% of total)

ival-add: 15.0ms (23.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (12.6% of total)

ival-sub: 5.0ms (7.9% of total)

const: 1.0ms (1.6% of total)

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

series19.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))>
#<alt (/ 1 (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 (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 (+ 1/2 (* 1/4 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (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 (pow x 2))>
#<alt (/ (+ 1 x) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/4 (* -1/144 (pow x 2))))))) (pow x 2))>
#<alt (* -1/518400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) (+ 1/518400 (/ 1/144 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/4320 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/518400 (/ 1/144 (pow x 4)))))>
#<alt (* -1/518400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) (+ 1/518400 (/ 1/144 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/4320 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/518400 (/ 1/144 (pow x 4)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 x) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<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 (* 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 (* 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 (pow x 2))>
#<alt (/ (- (* -1 x) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -3/4 x) 1)) 1) (pow x 2))>
#<alt (/ (- (* x (- (* x (- (* -1/2 x) 3/4)) 1)) 1) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))>
#<alt (+ 1/4 (+ (/ 1 x) (+ (* 8 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))>
#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 3 (* 8 (/ 1 x))) x)) 1) x)))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (+ 1/16 (* 1/16 x)))>
#<alt (* (pow x 2) (+ 1/16 (* x (+ 1/16 (* 3/64 x)))))>
#<alt (* (pow x 2) (+ 1/16 (* x (+ 1/16 (* x (+ 3/64 (* 1/32 x)))))))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))>
#<alt (+ 1/4 (+ (/ 1 x) (+ (* 8 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (/ 1 x))>
#<alt (+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))>
#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 3 (* 8 (/ 1 x))) x)) 1) x)))>
#<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 (* -1/720 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 (* 1/144 (pow x 2))>
#<alt (* (pow x 2) (+ 1/144 (* -1/4320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))>
#<alt (* 1/518400 (pow x 6))>
#<alt (* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (* 1/518400 (pow x 6))>
#<alt (* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/2 x) 1) x)>
#<alt (/ (- (* x (- (* -1/4 x) 1/2)) 1) x)>
#<alt (/ (- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1) x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) (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 2))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (+ 1 (* x 1/2)) x)
2.0ms	x	@	0	(/ (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720)))))) (+ (/ 1 x) (- 1/2 (* x (+ 1/12 (* x (* x -1/720)))))))
1.0ms	x	@	0	(/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
1.0ms	x	@	inf	(/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
1.0ms	x	@	-inf	(/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))

rewrite530.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3580×	`-lowering-.f32`
3580×	`-lowering-.f64`
1888×	`/-lowering-/.f32`
1888×	`/-lowering-/.f64`
1486×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	225
1	369	164
2	4253	164
0	8967	164

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 566

Calls

Call 1

Inputs
(/ (+ 1 (* x 1/2)) x)
(+ 1 (* x 1/2))
(* x 1/2)
(/ (+ 1 x) x)
(+ 1 x)
(* (/ 1 (* x x)) (/ 1 (+ (/ 1 x) -1/2)))
(/ 1 (* x x))
(* x x)
(/ 1 (+ (/ 1 x) -1/2))
(/ (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720)))))) (+ (/ 1 x) (- 1/2 (* x (+ 1/12 (* x (* x -1/720)))))))
(- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720))))))
(* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))
(+ (/ 1 x) 1/2)
(+ (/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (* x (+ 1/12 (* -1/720 (* x x)))))
(/ (- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))))) (+ (/ -1/4 (+ (/ 1 x) -1/2)) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
(- (* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2))) (* (/ (/ 1 (* x x)) (- 1/2 (/ 1 x))) (/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))))
(* (/ -1/4 (+ (/ 1 x) -1/2)) (/ -1/4 (+ (/ 1 x) -1/2)))
(* x (+ 1/12 (* x (* x -1/720))))
(* x -1/720)
(* (* x (+ 1/12 (* x (* x -1/720)))) (* x (+ 1/12 (* x (* x -1/720)))))
(/ (/ 1 (* x x)) (- 1/2 (/ 1 x)))
(* -1/720 (* x x))

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

simplify280.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3598×	`-lowering-.f32`
3598×	`-lowering-.f64`
1940×	`+-lowering-+.f64`
1940×	`+-lowering-+.f32`
1776×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	1844
1	712	1610
2	2052	1581
3	6185	1576
0	8145	1576

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(/ 1 (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))
(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 (+ 1/2 (* 1/4 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (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 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))
(/ (+ 1 (* x (+ 1 (* x (+ 1/4 (* -1/144 (pow x 2))))))) (pow x 2))
(* -1/518400 (pow x 6))
(* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400))
(* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) (+ 1/518400 (/ 1/144 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/4320 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/518400 (/ 1/144 (pow x 4)))))
(* -1/518400 (pow x 6))
(* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400))
(* (pow x 6) (- (* 1/4320 (/ 1 (pow x 2))) (+ 1/518400 (/ 1/144 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/4320 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/518400 (/ 1/144 (pow x 4)))))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))
(/ (+ 1 (* x (+ 1 (* 1/4 x)))) (pow x 2))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1/4 (+ (/ 1 x) (/ 1 (pow x 2))))
(/ 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 (* 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 (* 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 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* x (- (* -3/4 x) 1)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* -1/2 x) 3/4)) 1)) 1) (pow x 2))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+ 1/4 (+ (/ 1 x) (+ (* 8 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 3 (* 8 (/ 1 x))) x)) 1) x)))
(* 1/16 (pow x 2))
(* (pow x 2) (+ 1/16 (* 1/16 x)))
(* (pow x 2) (+ 1/16 (* x (+ 1/16 (* 3/64 x)))))
(* (pow x 2) (+ 1/16 (* x (+ 1/16 (* x (+ 3/64 (* 1/32 x)))))))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+ 1/4 (+ (/ 1 x) (+ (* 8 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
1/4
(+ 1/4 (/ 1 x))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 3 (* 8 (/ 1 x))) x)) 1) x)))
(* 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))))))
(* -1/720 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)
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* -1/4320 (pow x 2))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))
(* 1/518400 (pow x 6))
(* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(* 1/518400 (pow x 6))
(* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -1/2 x) 1) x)
(/ (- (* x (- (* -1/4 x) 1/2)) 1) x)
(/ (- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1) x)
(/ 2 (pow x 2))
(/ (+ 2 (* 4 (/ 1 x))) (pow x 2))
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))
(/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 4 (/ 1 x))) (pow x 2))
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))
(/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) (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 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* 1/2 x)) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* 1/2 x)) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 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))
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#s(literal 1/4 binary64)
(+ 1/4 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))))
(+ 1/4 (+ (/ 1 x) (+ (* 8 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(+ 1/4 (+ (/ 1 x) (/ 3 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 3 (* 8 (/ 1 x))) x)) 1) x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) x) #s(literal -3 binary64)) x)) x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/12 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* -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) (- (* 1/12 (/ 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) (- (* 1/12 (/ 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)))))
(* -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 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x)))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x)))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.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))
(* 1/144 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/144 binary64))
(* (pow x 2) (+ 1/144 (* -1/4320 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4320 binary64) (.f64 x (.f64 x #s(literal 1/518400 binary64)))))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/518400 (pow x 2)) 1/4320))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4320 binary64) (.f64 x (.f64 x #s(literal 1/518400 binary64)))))))
(* 1/518400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/518400 binary64))
(* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (*.f64 x x)))))
(* 1/518400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/518400 binary64))
(* (pow x 6) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/518400 (/ 1/144 (pow x 4))) (* 1/4320 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal -1/4320 binary64) (*.f64 x x)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/2 x) 1) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (- (* -1/4 x) 1/2)) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/ (- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 4 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 x x)))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 4 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x)) x)) (*.f64 x x))
(* -1/720 (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))

eval205.0ms (2.1%)

Compiler: Compiled 68732 to 3225 computations (95.3% saved)

prune161.0ms (1.7%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	1223	11	1234
Fresh	0	1	1
Picked	4	1	5
Done	0	9	9
Total	1227	22	1249

Accuracy

100.0%

Counts

1249 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
	62.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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))))))))
	34.7%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal -1/720 binary64))))))))))
	35.7%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))))
	34.8%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))) (+.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))))))))
✓	64.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	64.2%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
	18.5%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.2%	(/.f64 (exp.f64 x) x)
	39.5%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	64.5%	(/.f64 #s(literal 1 binary64) x)
	20.8%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
	32.1%	(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 3/64 binary64) (.f64 x #s(literal 1/32 binary64)))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	34.8%	(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
✓	64.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	64.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	64.5%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
	51.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	80.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
	3.6%	#s(literal 1 binary64)
✓	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 1082 to 373 computations (65.5% saved)

regimes27.0ms (0.3%)

Counts

29 → 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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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))))))))
(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))) (+.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))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 3/64 binary64) (.f64 x #s(literal 1/32 binary64)))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal -1/720 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) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.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:

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

regimes19.0ms (0.2%)

Counts

26 → 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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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))))))))
(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))) (+.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))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 3/64 binary64) (.f64 x #s(literal 1/32 binary64)))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal -1/720 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:

8.0ms	(exp.f64 x)
7.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Counts

24 → 3

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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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))))))))
(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))) (+.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))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 3/64 binary64) (.f64 x #s(literal 1/32 binary64)))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal -1/720 binary64))))))))))

Outputs

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

(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64)))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64))))))))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

23 → 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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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))))))))
(+.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal -1/4320 binary64))))))) (+.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))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.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))))))))
(+.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 3/64 binary64) (.f64 x #s(literal 1/32 binary64)))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.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 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))))

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
80.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

Outputs
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) 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:

3.0ms

Results

Accuracy	Segments	Branch
81.9%	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 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) 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 -2 binary64) (*.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:

3.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
64.5%	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:

1.0ms

Results

Accuracy	Segments	Branch
3.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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:

1.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.442167365161732e+36	-9.774667568516656e+26
10.0ms	-1.3862044794541588e+54	-9.055688344913394e+49

Results

6.0ms

144×

valid

Compiler

Compiled 1140 to 464 computations (59.3% saved)

Precisions

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

ival-sub: 1.0ms (32.8% of total)

ival-div: 1.0ms (32.8% of total)

ival-exp: 1.0ms (32.8% 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	-15543652194.509396	-0.18777078189745502

Results

7.0ms

160×

valid

Compiler

Compiled 412 to 298 computations (27.7% saved)

Precisions

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

ival-exp: 2.0ms (51.4% of total)

ival-sub: 1.0ms (25.7% of total)

ival-div: 1.0ms (25.7% 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	-15543652194.509396	-0.18777078189745502

Results

9.0ms

160×

valid

Compiler

Compiled 252 to 188 computations (25.4% 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 (25.7% of total)

ival-div: 1.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-15543652194.509396	-0.18777078189745502

Results

10.0ms

160×

valid

Compiler

Compiled 232 to 178 computations (23.3% saved)

Precisions

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

ival-exp: 2.0ms (50.9% of total)

ival-sub: 1.0ms (25.5% of total)

ival-div: 1.0ms (25.5% 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	-15543652194.509396	-0.18777078189745502

Results

8.0ms

160×

valid

Compiler

Compiled 192 to 148 computations (22.9% saved)

Precisions

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

ival-exp: 3.0ms (62.7% of total)

ival-sub: 1.0ms (20.9% of total)

ival-div: 1.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-15543652194.509396	-0.18777078189745502

Results

10.0ms

160×

valid

Compiler

Compiled 152 to 118 computations (22.4% saved)

Precisions

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

ival-exp: 2.0ms (51.7% of total)

ival-sub: 1.0ms (25.8% of total)

ival-div: 1.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

640×	`unsub-neg_binary64`
490×	`distribute-lft-neg-in_binary64`
416×	`neg-mul-1_binary64`
240×	`cancel-sign-sub_binary64`
236×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	301
1	129	301
2	166	301
3	205	301
4	269	301
5	331	301
6	406	301
7	485	301
8	710	301
9	1122	301
10	1386	301
11	1594	301
12	1757	301
13	1868	301
14	1928	301
15	1965	301
16	1982	301
17	1988	301
18	1989	301
19	1991	301
20	1991	301

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x #s(literal -20999999999999999857639922161594187505695877280825344 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (if (<=.f64 x #s(literal -4999999999999999769381329101060571136 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))
(if (<=.f64 x #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(if (<=.f64 x #s(literal -2871044762448691/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(if (<=.f64 x #s(literal -2871044762448691/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) 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 -9/2 binary64)) (/.f64 #s(literal -2 binary64) (.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 -8016407336719483/4503599627370496 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x #s(literal -20999999999999999857639922161594187505695877280825344 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (if (<=.f64 x #s(literal -4999999999999999769381329101060571136 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))
(if (<=.f64 x #s(literal -20999999999999999857639922161594187505695877280825344 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (if (<=.f64 x #s(literal -4999999999999999769381329101060571136 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (-.f64 (-.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/720 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64)))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
(if (<=.f64 x #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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)))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) x) x)
(if (<=.f64 x #s(literal -2871044762448691/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(if (<=.f64 x #s(literal -2871044762448691/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal -2871044762448691/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) 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 -9/2 binary64)) (/.f64 #s(literal -2 binary64) (.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 -8016407336719483/4503599627370496 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

soundness2.9s (29.5%)

Rules

4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
3900×	`/-lowering-/.f32`
3900×	`/-lowering-/.f64`
3808×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	169
1	124	151
2	340	148
3	840	148
4	1630	148
5	2338	148
6	2590	148
7	2698	142
8	3126	142
9	3682	142
10	5083	142
11	6757	142
12	7332	142
13	7730	142
0	8122	142
0	19	65
1	137	59
2	1332	59
0	8897	59
0	104	899
1	294	806
2	929	761
3	3167	695
0	9126	695
0	5	5
1	11	5
2	12	5
0	12	5
0	133	1299
1	393	1122
2	1215	1031
3	3888	923
0	8017	923
0	248	1844
1	712	1610
2	2052	1581
3	6185	1576
0	8145	1576
0	5	9
1	31	9
2	193	9
3	1887	9
0	8645	9
0	41	225
1	369	164
2	4253	164
0	8967	164

Stop Event

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

Compiler

Compiled 812 to 439 computations (45.9% saved)

preprocess72.0ms (0.7%)

Compiler: Compiled 634 to 190 computations (70% saved)

analyze155.0ms (1.6%)

sample1.5s (15.1%)

preprocess61.0ms (0.6%)

explain115.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize47.0ms (0.5%)

series2.0ms (0%)

rewrite360.0ms (3.7%)

simplify247.0ms (2.5%)

eval52.0ms (0.5%)

prune48.0ms (0.5%)

simplify13.0ms (0.1%)

localize169.0ms (1.8%)

series8.0ms (0.1%)

rewrite396.0ms (4.1%)

simplify231.0ms (2.4%)

eval104.0ms (1.1%)

prune84.0ms (0.9%)

simplify162.0ms (1.7%)

localize131.0ms (1.4%)

series11.0ms (0.1%)

rewrite439.0ms (4.5%)

simplify210.0ms (2.2%)

eval197.0ms (2%)

prune118.0ms (1.2%)

simplify230.0ms (2.4%)

localize192.0ms (2%)

series19.0ms (0.2%)

rewrite530.0ms (5.5%)

simplify280.0ms (2.9%)

eval205.0ms (2.1%)

prune161.0ms (1.7%)

regimes27.0ms (0.3%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify91.0ms (0.9%)

soundness2.9s (29.5%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling