Metrics for expq2 (section 3.11)

analyze207.0ms (2.9%)

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: 82.0ms

ival-sub: 45.0ms (54.5% of total)

ival-exp: 17.0ms (20.6% of total)

ival->: 11.0ms (13.3% of total)

ival-div: 7.0ms (8.5% of total)

const: 2.0ms (2.4% of total)

backward-pass: 1.0ms (1.2% of total)

sample1.3s (17.7%)

Results

889.0ms	5342×	1	valid
143.0ms	2914×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 739.0ms

ival-exp: 412.0ms (55.7% of total)

ival-div: 109.0ms (14.7% of total)

ival-sub: 99.0ms (13.4% of total)

backward-pass: 60.0ms (8.1% of total)

ival->: 46.0ms (6.2% of total)

const: 14.0ms (1.9% of total)

Bogosity

preprocess60.0ms (0.8%)

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))

explain102.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
181	1	(-0.004381237356871722)	1	(0.01026543457953246)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Results

64.0ms	356×	1	valid
8.0ms	156×	0	valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

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

ival-exp: 29.0ms (63.3% of total)

backward-pass: 6.0ms (13.1% of total)

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

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

const: 1.0ms (2.2% 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 (0.1%)

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)

localize63.0ms (0.9%)

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

35.0ms	178×	1	valid
4.0ms	78×	0	valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 19.0ms (43% of total)

compiled-spec: 17.0ms (38.5% of total)

ival-sub: 3.0ms (6.8% of total)

backward-pass: 3.0ms (6.8% of total)

ival-div: 2.0ms (4.5% of total)

const: 0.0ms (0% 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)

rewrite299.0ms (4.2%)

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 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 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))))))

simplify237.0ms (3.3%)

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)

eval47.0ms (0.6%)

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

prune78.0ms (1.1%)

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))
	97.4%	(/.f64 (exp.f64 x) x)
	33.3%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	71.3%	(/.f64 #s(literal 1 binary64) x)
▶	72.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
▶	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	72.2%	(+.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 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 132 to 96 computations (27.3% saved)

simplify186.0ms (2.6%)

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	(expm1.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	6784	(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Rules

2386×	`-lowering-.f32`
2386×	`-lowering-.f64`
2094×	`+-lowering-+.f64`
2094×	`+-lowering-+.f32`
1808×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	63	108
2	154	107
3	275	101
4	498	101
5	1009	101
6	3764	101
7	6028	101
0	8179	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize200.0ms (2.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.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	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))

Results

128.0ms	178×	1	valid
20.0ms	76×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-add: 24.0ms (20.1% of total)

ival-exp: 21.0ms (17.6% of total)

compiled-spec: 19.0ms (15.9% of total)

ival-mult: 18.0ms (15.1% of total)

...c/correct-round.rkt:119:19: 16.0ms (13.4% of total)

backward-pass: 11.0ms (9.2% of total)

ival-div: 6.0ms (5% of total)

ival-sub: 3.0ms (2.5% of total)

const: 1.0ms (0.8% of total)

series11.0ms (0.2%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* (/ (exp x) (- (exp (* x 2)) 1)) (+ (exp x) 1))>
#<alt (/ (exp x) (- (exp (* x 2)) 1))>
#<alt (exp x)>
#<alt (- (exp (* x 2)) 1)>
#<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 (+ (exp x) 1)>
#<alt (* -1/720 (* x x))>
#<alt (+ 1/12 (* -1/720 (* x x)))>
#<alt (* 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) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/12 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 x)) 1))>
#<alt (/ (exp x) (- (exp (* 2 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 (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 4/3 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (/ 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 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (* -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))>
#<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)>

Calls

45 calls:

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

rewrite334.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3874×	`-lowering-.f32`
3874×	`-lowering-.f64`
3328×	`/-lowering-/.f32`
3328×	`/-lowering-/.f64`
1874×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	83
1	158	77
2	1586	77
0	8475	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 601

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (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 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (exp.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (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 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (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 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 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) (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))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x)) (expm1.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
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(/.f64 (+.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (expm1.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (expm1.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (.f64 (expm1.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (expm1.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 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 #s(literal -1/720 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 #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)))))
(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 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.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 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(/.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 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.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 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (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 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 #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 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (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 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) #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 #s(literal -1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #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)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify203.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
1806×	`+-lowering-+.f64`
1806×	`+-lowering-+.f32`
1142×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1110
1	359	983
2	1117	937
3	3680	883
0	8405	883

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/ 1/2 x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 x)) 1))
(/ (exp x) (- (exp (* 2 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)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(- (exp (* 2 x)) 1)
(/ 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))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* -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))
(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)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (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) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x #s(literal 7/720 binary64)))))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/720 binary64) (.f64 (.f64 x x) #s(literal -31/30240 binary64))))))) x)
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (exp x) (- (exp (* 2 x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
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)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 x #s(literal 2/3 binary64))))))))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 (/.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))))
1/2
#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 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))) x)
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 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 (.f64 x #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))
(* -1/720 (pow x 3))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 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 (.f64 x x)) (-.f64 #s(literal -1/720 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) 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)))))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(* -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))))
(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)

eval110.0ms (1.5%)

Compiler: Compiled 26347 to 2174 computations (91.7% saved)

prune86.0ms (1.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	908	5	913
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	908	13	921

Accuracy

100.0%

Counts

921 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
▶	71.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	97.4%	(/.f64 (exp.f64 x) x)
	33.3%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	71.3%	(/.f64 #s(literal 1 binary64) x)
▶	72.2%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
✓	72.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	40.0%	(+.f64 (-.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 1/4 binary64) (+.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)))))
✓	72.2%	(+.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 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	3.2%	#s(literal 1/2 binary64)

Compiler

Compiled 223 to 153 computations (31.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

112×	`fma-define`
104×	`fma-lowering-fma.f32`
104×	`fma-lowering-fma.f64`
56×	`+-lowering-+.f64`
56×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	45	106
2	98	106
3	144	106
4	161	106
0	161	106

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize95.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	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	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	85.0%	(/.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%	(+.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)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Results

63.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 13.0ms (34.8% of total)

...c/correct-round.rkt:119:19: 9.0ms (24.1% of total)

ival-div: 6.0ms (16.1% of total)

ival-add: 6.0ms (16.1% of total)

ival-exp: 2.0ms (5.4% of total)

backward-pass: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ 1 (* x 1/2)) x)
1.0ms	x	@	-inf	(/ (exp x) x)
0.0ms	x	@	-inf	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
0.0ms	x	@	-inf	(/ (+ 1 (* x 1/2)) x)
0.0ms	x	@	inf	(/ (exp x) x)

rewrite319.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3546×	`-lowering-.f32`
3546×	`-lowering-.f64`
3460×	`/-lowering-/.f32`
3460×	`/-lowering-/.f64`
2158×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	127	77
2	1172	77
0	8205	77

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 584

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) 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 (exp.f64 x) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (exp.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.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))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) 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 #s(literal -1 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (exp.f64 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.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)
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 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 -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) (neg.f64 (-.f64 #s(literal 0 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 (.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 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.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 #s(literal 1 binary64) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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)))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 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 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))) (+.f64 (.f64 (/.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 #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 #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))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.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 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 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 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.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 0 binary64) (-.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 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))

simplify172.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
1766×	`+-lowering-+.f64`
1766×	`+-lowering-+.f32`
1378×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1033
1	260	849
2	854	791
3	2986	757
0	8502	757

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval124.0ms (1.7%)

Compiler: Compiled 27529 to 2099 computations (92.4% saved)

prune105.0ms (1.5%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	879	5	884
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	879	18	897

Accuracy

100.0%

Counts

897 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(/.f64 (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
✓	71.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	71.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) x)
	33.3%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	71.3%	(/.f64 #s(literal 1 binary64) x)
▶	72.2%	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
▶	72.2%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
✓	72.2%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
▶	71.9%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
▶	72.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
✓	72.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	40.0%	(+.f64 (-.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 1/4 binary64) (+.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)))))
✓	72.2%	(+.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 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	3.2%	#s(literal 1/2 binary64)

Compiler

Compiled 514 to 296 computations (42.4% saved)

simplify433.0ms (6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	cost-diff	384	(-.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 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	384	(+.f64 (-.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 1/4 binary64) (+.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	128	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) x)
✓	cost-diff	128	(/.f64 (-.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))) x))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) x)))
✓	cost-diff	256	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.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) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	256	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	128	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	384	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))

Rules

2022×	`-lowering-.f32`
2022×	`-lowering-.f64`
1724×	`fma-define`
1556×	`times-frac`
1472×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	359
1	101	328
2	290	305
3	801	279
4	2280	279
5	7044	279
0	8012	279

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize222.0ms (3.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	67.7%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(/.f64 (-.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))) x))
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
✓	accuracy	85.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal -1/720 binary64) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x))))

Results

123.0ms

256×

valid

Compiler

Compiled 409 to 37 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 17.0ms (28.1% of total)

ival-add: 16.0ms (26.5% of total)

ival-mult: 16.0ms (26.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (11.6% of total)

ival-sub: 4.0ms (6.6% of total)

const: 1.0ms (1.7% of total)

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

series12.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (+ (/ (/ 1 x) (/ 1 (+ 1 (* x 1/2)))) (* x (+ 1/12 (* -1/720 (* x x)))))>
#<alt (/ (/ 1 x) (/ 1 (+ 1 (* x 1/2))))>
#<alt (/ 1 x)>
#<alt (/ 1 (+ 1 (* x 1/2)))>
#<alt (+ (/ (+ 1 (* x 1/2)) x) (* x 1/12))>
#<alt (/ (+ 1 (* x 1/2)) x)>
#<alt (+ 1 (* x 1/2))>
#<alt (* x 1/2)>
#<alt (+ (/ (+ 1 (* x 1/2)) x) (+ (* x (* -1/720 (* x x))) (* x 1/12)))>
#<alt (+ (* x (* -1/720 (* x x))) (* x 1/12))>
#<alt (+ (/ 1 (/ (- 1 (* x 1/2)) (/ (- 1 (* (* x x) 1/4)) x))) (* x (+ 1/12 (* -1/720 (* x x)))))>
#<alt (/ 1 (/ (- 1 (* x 1/2)) (/ (- 1 (* (* x x) 1/4)) x)))>
#<alt (/ (- 1 (* x 1/2)) (/ (- 1 (* (* x x) 1/4)) x))>
#<alt (/ (- 1 (* (* x x) 1/4)) x)>
#<alt (+ (- (/ (/ 1 (* x x)) (+ (/ 1 x) -1/2)) (/ 1/4 (+ (/ 1 x) -1/2))) (* x (+ 1/12 (* -1/720 (* x x)))))>
#<alt (- (/ (/ 1 (* x x)) (+ (/ 1 x) -1/2)) (/ 1/4 (+ (/ 1 x) -1/2)))>
#<alt (/ (/ 1 (* x x)) (+ (/ 1 x) -1/2))>
#<alt (/ 1 (* x x))>
#<alt (* x (+ 1/12 (* -1/720 (* x x))))>
#<alt (* -1/720 (* x x))>
#<alt (* x 1/12)>
#<alt (* x (* -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 (* -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 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>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1>
#<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 (* 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 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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/4 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/4 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/4 (pow x 2))) x)>
#<alt (* -1/4 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1/4))>
#<alt (* x (- (/ 1 (pow x 2)) 1/4))>
#<alt (* x (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/4 (/ 1 (pow x 2)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 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 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 (* 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 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1/720 (pow x 3))>

Calls

66 calls:

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

rewrite356.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3372×	`-lowering-.f32`
3372×	`-lowering-.f64`
1590×	`/-lowering-/.f32`
1590×	`/-lowering-/.f64`
1540×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	199
1	304	147
2	4046	145
0	8092	145

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 818

Calls

Call 1

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

Outputs
(+.f64 (.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 #s(literal 1/2 binary64))) x))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64))) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (*.f64 x #s(literal 1/12 binary64)))
(-.f64 (.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(-.f64 (.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 #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (.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 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(-.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(-.f64 (.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 #s(literal -1/2 binary64))) x))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (/.f64 (.f64 (.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 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.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 #s(literal 1/2 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #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)))))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 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))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (-.f64 (.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 #s(literal 1/2 binary64))) x)))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (.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 (/.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 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (.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 (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (.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 (/.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 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (-.f64 (.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 #s(literal 1/2 binary64))) x)))))
(/.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (.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 (/.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 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)))) (+.f64 (.f64 (.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 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (.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 #s(literal 1/2 binary64))) x)))))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (.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 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 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 1/1728 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/373248000 binary64))) (.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) #s(literal -1 binary64))) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/373248000 binary64))) (.f64 (.f64 x x) x))))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x))))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/373248000 binary64))) (.f64 (.f64 x x) x))) x) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) x))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/373248000 binary64))) (.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) x) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) x))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 (.f64 x (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))) (.f64 x (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/373248000 binary64))) (.f64 (.f64 x x) x))))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))))))
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(.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal -1/720 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))

simplify298.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2878×	`-lowering-.f32`
2878×	`-lowering-.f64`
1732×	`fma-lowering-fma.f32`
1732×	`fma-lowering-fma.f64`
1662×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1922
1	552	1688
2	1606	1571
3	5041	1548
0	8105	1548

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 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 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 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1
(+ 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 (* 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 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))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(/ 1 x)
(/ (+ 1 (* -1/4 (pow x 2))) x)
(/ (+ 1 (* -1/4 (pow x 2))) x)
(/ (+ 1 (* -1/4 (pow x 2))) x)
(* -1/4 x)
(* x (- (/ 1 (pow x 2)) 1/4))
(* x (- (/ 1 (pow x 2)) 1/4))
(* x (- (/ 1 (pow x 2)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/4 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/4 (/ 1 (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 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))
(* 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 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))
(* -1/720 (pow x 3))

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) (.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 #s(literal -1/720 binary64) (.f64 x x))))))) x)
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 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) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x x))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.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
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) 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) (.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)) (neg.f64 (+.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)) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 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
#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)))
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(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 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))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1/720 (pow x 3))
(.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x)))

eval235.0ms (3.3%)

Compiler: Compiled 49711 to 2765 computations (94.4% saved)

prune134.0ms (1.9%)

Pruning

18 alts after pruning (3 fresh and 15 done)

	Pruned	Kept	Total
New	1535	1	1536
Fresh	0	2	2
Picked	1	4	5
Done	0	11	11
Total	1536	18	1554

Accuracy

100.0%

Counts

1554 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(/.f64 (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
✓	71.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	71.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) x)
	33.3%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
✓	71.3%	(/.f64 #s(literal 1 binary64) x)
✓	72.2%	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
✓	72.2%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
✓	72.2%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
✓	71.9%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
	72.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
✓	72.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	40.0%	(+.f64 (-.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 1/4 binary64) (+.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)))))
✓	72.2%	(+.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 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	3.2%	#s(literal 1/2 binary64)

Compiler

Compiled 627 to 277 computations (55.8% saved)

regimes18.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
(/.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) 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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal -1/4 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 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (-.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 1/4 binary64) (+.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 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
(/.f64 (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 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
(/.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) 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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal -1/4 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 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (-.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 1/4 binary64) (+.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 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))

Outputs

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

Calls

2 calls:

5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
(/.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) 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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal -1/4 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 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (-.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 1/4 binary64) (+.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 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
(/.f64 (exp.f64 x) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
(/.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) 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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal -1/4 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 #s(literal 1 binary64) (/.f64 (-.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))) x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
(+.f64 (-.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 1/4 binary64) (+.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 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64))))) (.f64 (+.f64 #s(literal 1 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 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) x))) (.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 1/144 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))

Outputs
(+.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:

5.0ms

Results

Accuracy	Segments	Branch
72.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x #s(literal 1/12 binary64)))
(/.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 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
72.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.5%	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)
(/.f64 #s(literal 1 binary64) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
3.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9548858148298014	0.9956283462623715

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-30944025.330125824	-0.8076043911793634

Results

7.0ms

144×

valid

Compiler

Compiled 219 to 161 computations (26.5% saved)

Precisions

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

ival-exp: 2.0ms (55.1% of total)

ival-sub: 1.0ms (27.6% of total)

ival-div: 1.0ms (27.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
16×	`neg-mul-1_binary64`
14×	`unsub-neg_binary64`
12×	`*-commutative_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	89
1	41	89
2	49	89
3	55	89
4	62	89
5	74	89
6	90	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))))))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 (exp.f64 x) 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))))))
(+.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 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))))))
(if (<=.f64 (exp.f64 x) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 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))))))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 (exp.f64 x) 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))))))
(+.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 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)

soundness1.0s (14.5%)

Rules

3900×	`/-lowering-/.f32`
3900×	`/-lowering-/.f64`
3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
2816×	`-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	126	1110
1	359	983
2	1117	937
3	3680	883
0	8405	883
0	5	9
1	31	9
2	193	9
3	1887	9
0	8645	9
0	5	5
1	11	5
2	12	5
0	12	5

Stop Event

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

Compiler

Compiled 195 to 104 computations (46.7% saved)

preprocess56.0ms (0.8%)

Compiler: Compiled 210 to 80 computations (61.9% saved)

analyze207.0ms (2.9%)

sample1.3s (17.7%)

preprocess60.0ms (0.8%)

explain102.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize63.0ms (0.9%)

series2.0ms (0%)

rewrite299.0ms (4.2%)

simplify237.0ms (3.3%)

eval47.0ms (0.6%)

prune78.0ms (1.1%)

simplify186.0ms (2.6%)

localize200.0ms (2.8%)

series11.0ms (0.2%)

rewrite334.0ms (4.6%)

simplify203.0ms (2.8%)

eval110.0ms (1.5%)

prune86.0ms (1.2%)

simplify9.0ms (0.1%)

localize95.0ms (1.3%)

series8.0ms (0.1%)

rewrite319.0ms (4.4%)

simplify172.0ms (2.4%)

eval124.0ms (1.7%)

prune105.0ms (1.5%)

simplify433.0ms (6%)

localize222.0ms (3.1%)

series12.0ms (0.2%)

rewrite356.0ms (4.9%)

simplify298.0ms (4.1%)

eval235.0ms (3.3%)

prune134.0ms (1.9%)

regimes18.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.0s (14.5%)

preprocess56.0ms (0.8%)

end0.0ms (0%)

Profiling