Metrics for exp neg sub

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample705.0ms (6.8%)

Results

457.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 93.0ms (34% of total)

ival-exp: 76.0ms (27.8% of total)

ival-sub: 48.0ms (17.5% of total)

ival-neg: 43.0ms (15.7% of total)

const: 11.0ms (4% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess219.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2404×	`sum3-define`
1908×	`sum4-define`
1878×	`sum3-define`
1732×	`fnmsub-define`
1556×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	38	19
2	85	19
3	176	16
4	367	16
5	648	16
6	1010	16
7	1578	16
8	3504	16
9	6650	16
0	6	7
1	18	6
2	48	6
3	107	5
4	237	5
5	466	5
6	779	5
7	1279	5
8	2967	5
9	6040	5
0	8064	5

Stop Event

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

Calls

Call 1

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

Outputs
(exp (neg (- 1 (* x x))))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Call 2

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

Outputs
(exp (neg (- 1 (* x x))))
(exp (fmsub x x 1))
(exp (neg (- 1 (* (neg x) (neg x)))))
(exp (fmsub x x 1))
(neg (exp (neg (- 1 (* (neg x) (neg x))))))
(neg (exp (fmsub x x 1)))

Symmetry

(abs x)

explain68.0ms (0.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
-	-	`#s(literal 1 binary64)`

Results

32.0ms

512×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (32.6% of total)

ival-exp: 4.0ms (26.1% of total)

ival-sub: 3.0ms (19.5% of total)

ival-neg: 3.0ms (19.5% of total)

const: 1.0ms (6.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify197.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

2036×	`fma-lowering-fma.f32`
2036×	`fma-lowering-fma.f64`
1988×	`fmsub-define`
1716×	`fmm-def`
1664×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	14	14
2	25	14
3	45	14
4	108	14
5	334	14
6	669	14
7	1432	14
8	4439	14
0	8260	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (+ (* x x) -1))
(+ (* x x) -1)
(* x x)
x
-1

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

localize26.0ms (0.3%)

Localize:

Found 3 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 5.0ms (43.7% of total)

ival-exp: 4.0ms (35% of total)

ival-mult: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite304.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2278×	`/-lowering-/.f32`
2278×	`/-lowering-/.f64`
1826×	`-lowering-.f32`
1826×	`-lowering-.f64`
1712×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	29	12
2	170	12
3	1489	12
0	9155	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 282

Calls

Call 1

Inputs
(exp (+ (* x x) -1))
(+ (* x x) -1)
(* x x)

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

simplify226.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2650×	`-lowering-.f32`
2650×	`-lowering-.f64`
1922×	`fma-lowering-fma.f32`
1922×	`fma-lowering-fma.f64`
1704×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	190
1	74	166
2	259	161
3	748	159
4	1956	159
5	2642	159
6	3575	159
7	7031	159
0	8128	159

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval40.0ms (0.4%)

Compiler: Compiled 9355 to 962 computations (89.7% saved)

prune56.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	313	5	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	6	319

Accuracy

100.0%

Counts

319 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	100.0%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
▶	100.0%	(exp.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	62.1%	(exp.f64 (*.f64 x x))
▶	47.2%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 79 to 55 computations (30.4% saved)

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	384	(exp.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(exp.f64 (*.f64 x x))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(exp.f64 (*.f64 x x))
✓	cost-diff	6272	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	64	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Rules

1526×	`fmsub-define`
1380×	`+-lowering-+.f64`
1380×	`+-lowering-+.f32`
1366×	`-lowering-.f32`
1366×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	34	67
2	66	66
3	180	65
4	368	65
5	927	62
6	3574	62
7	7979	62
0	8015	62

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(pow (E) (+ (* x x) -1))
(E)
(+ (* x x) -1)
(* x x)
x
-1
(exp -1)
-1
(exp (* x x))
(* x x)
x
(/ (exp (* x x)) (E))
(exp (* x x))
(* x x)
x
(E)
(exp (+ (* (+ x 1) x) (* (+ x 1) -1)))
(+ (* (+ x 1) x) (* (+ x 1) -1))
(* (+ x 1) x)
(+ x 1)
x
1
(* (+ x 1) -1)
-1

Outputs
(pow (E) (+ (* x x) -1))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(E)
(E.f64)
(+ (* x x) -1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
x
-1
#s(literal -1 binary64)
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
-1
#s(literal -1 binary64)
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(/ (exp (* x x)) (E))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(E)
(E.f64)
(exp (+ (* (+ x 1) x) (* (+ x 1) -1)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+ (* (+ x 1) x) (* (+ x 1) -1))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (+ x 1) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* (+ x 1) -1)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)

localize77.0ms (0.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(exp.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(exp.f64 (*.f64 x x))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(exp.f64 (*.f64 x x))
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Results

55.0ms

256×

valid

Compiler

Compiled 85 to 16 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 9.0ms (28.8% of total)

ival-mult: 7.0ms (22.4% of total)

ival-exp: 6.0ms (19.2% of total)

ival-add: 4.0ms (12.8% of total)

ival-div: 2.0ms (6.4% of total)

ival-e: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

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

series7.0ms (0.1%)

Counts

11 → 108

Calls

Call 1

Inputs
#<alt (pow (E) (+ (* x x) -1))>
#<alt (E)>
#<alt (+ (* x x) -1)>
#<alt (* x x)>
#<alt (exp -1)>
#<alt (exp (* x x))>
#<alt (/ (exp (* x x)) (E))>
#<alt (exp (+ (* (+ x 1) x) (* (+ x 1) -1)))>
#<alt (+ (* (+ x 1) x) (* (+ x 1) -1))>
#<alt (* (+ x 1) -1)>
#<alt (* (+ x 1) x)>

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+ (* (+ x 1) x) (* (+ x 1) -1))
1.0ms	x	@	0	(pow (E) (+ (* x x) -1))
1.0ms	x	@	0	(exp (+ (* (+ x 1) x) (* (+ x 1) -1)))
0.0ms	x	@	inf	(/ (exp (* x x)) (E))
0.0ms	x	@	0	(/ (exp (* x x)) (E))

rewrite337.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
2618×	`/-lowering-/.f32`
2618×	`/-lowering-/.f64`
1310×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	104	45
2	762	41
0	9090	41

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 916

Calls

Call 1

Inputs
(pow (E) (+ (* x x) -1))
(E)
(+ (* x x) -1)
(* x x)
(exp -1)
(exp (* x x))
(/ (exp (* x x)) (E))
(exp (+ (* (+ x 1) x) (* (+ x 1) -1)))
(+ (* (+ x 1) x) (* (+ x 1) -1))
(* (+ x 1) -1)
(* (+ x 1) x)

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

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
1482×	`distribute-lft-neg-out`
1286×	`fnmadd-define`
1242×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	621
1	338	525
2	1046	494
3	3277	491
0	8652	491

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ 1 (E))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (+ x (+ (* -1 (+ 1 x)) (pow x 2))))
(exp (+ x (+ (* -1 (+ 1 x)) (pow x 2))))
(exp (+ x (+ (* -1 (+ 1 x)) (pow x 2))))
(exp (+ x (+ (* -1 (+ 1 x)) (pow x 2))))
(exp (+ (* -1 (- 1 (* -1 x))) (* x (- 1 (* -1 x)))))
(exp (+ (* -1 (- 1 (* -1 x))) (* x (- 1 (* -1 x)))))
(exp (+ (* -1 (- 1 (* -1 x))) (* x (- 1 (* -1 x)))))
(exp (+ (* -1 (- 1 (* -1 x))) (* x (- 1 (* -1 x)))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))

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

eval178.0ms (1.7%)

Compiler: Compiled 22849 to 1934 computations (91.5% saved)

prune102.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1176	7	1183
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1179	10	1189

Accuracy

100.0%

Counts

1189 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	74.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
▶	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
▶	47.2%	(/.f64 #s(literal 1 binary64) (E.f64))
	50.3%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
	53.7%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))))
▶	37.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	62.1%	(exp.f64 (*.f64 x x))
▶	9.9%	#s(literal 1 binary64)

Compiler

Compiled 146 to 102 computations (30.1% saved)

simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1760×	`fmsub-define`
1630×	`fnmsub-define`
1388×	`fmm-def`
1324×	`fma-lowering-fma.f32`
1324×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	26	53
2	47	50
3	93	49
4	214	49
5	461	49
6	883	49
7	1660	49
8	3936	49
9	6001	49
0	8397	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (exp (- 1 (* x x))))
1
(exp (- 1 (* x x)))
(- 1 (* x x))
(* x x)
x
1
(/ 1 (E))
1
(E)
(+ 1 (* x x))
1
(* x x)
x
(/ (+ 1 (* x x)) (E))
(+ 1 (* x x))
1
(* x x)
x
(E)

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

localize74.0ms (0.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
✓	accuracy	48.2%	(E.f64)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	accuracy	48.2%	(E.f64)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

34.0ms	119×	0	valid
16.0ms	137×	0	unsamplable

Compiler

Compiled 60 to 11 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 24.0ms (72% of total)

ival-exp: 2.0ms (6% of total)

ival-mult: 2.0ms (6% of total)

ival-e: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

8 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite285.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3144×	`-lowering-.f32`
3144×	`-lowering-.f64`
2548×	`/-lowering-/.f32`
2548×	`/-lowering-/.f64`
1138×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	82	34
2	549	30
3	5580	30
0	8154	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 659

Calls

Call 1

Inputs
(/ 1 (exp (- 1 (* x x))))
(exp (- 1 (* x x)))
(- 1 (* x x))
(* x x)
(/ 1 (E))
(E)
(+ 1 (* x x))
(/ (+ 1 (* x x)) (E))

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

simplify224.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3344×	`-lowering-.f32`
3344×	`-lowering-.f64`
1728×	`times-frac`
1264×	`sum3-define`
1232×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	425
1	183	384
2	580	368
3	2072	347
4	6237	347
0	8163	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval154.0ms (1.5%)

Compiler: Compiled 21468 to 1934 computations (91% saved)

prune119.0ms (1.2%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	981	7	988
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	982	16	998

Accuracy

100.0%

Counts

998 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	9.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
▶	11.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
▶	73.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))))
✓	74.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
	9.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))))
	9.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)))))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	47.2%	(/.f64 #s(literal 1 binary64) (E.f64))
▶	50.3%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
	53.7%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))))
✓	37.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
▶	30.8%	(*.f64 x x)
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	62.1%	(exp.f64 (*.f64 x x))
✓	9.9%	#s(literal 1 binary64)

Compiler

Compiled 604 to 248 computations (58.9% saved)

simplify261.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64))
✓	cost-diff	896	(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
✓	cost-diff	896	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))))

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
2232×	`+-lowering-+.f64`
2232×	`+-lowering-+.f32`
1968×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	425
1	141	322
2	532	256
3	2625	222
0	8063	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ 1 (* x x)) (/ (- (* (+ 1 (E)) (+ 1 (E))) 1) (+ (+ 1 (E)) 1)))
(+ 1 (* x x))
1
(* x x)
x
(/ (- (* (+ 1 (E)) (+ 1 (E))) 1) (+ (+ 1 (E)) 1))
(- (* (+ 1 (E)) (+ 1 (E))) 1)
(* (+ 1 (E)) (+ 1 (E)))
(+ 1 (E))
(E)
(+ (+ 1 (E)) 1)
(* x x)
x
(+ 1 (* x (* x (+ 1 (* (* x x) 1/2)))))
1
(* x (* x (+ 1 (* (* x x) 1/2))))
x
(* x (+ 1 (* (* x x) 1/2)))
(+ 1 (* (* x x) 1/2))
(* (* x x) 1/2)
(* x x)
1/2
(/ (- 1 (* (* x x) (* x (* x (* x (* x (* x x))))))) (* (- 1 (* x x)) (+ 1 (* x (* x (* x x))))))
(- 1 (* (* x x) (* x (* x (* x (* x (* x x)))))))
1
(* (* x x) (* x (* x (* x (* x (* x x))))))
(* x x)
x
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* (- 1 (* x x)) (+ 1 (* x (* x (* x x)))))
(- 1 (* x x))
(+ 1 (* x (* x (* x x))))
(/ (- 1 (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))))) (* (- 1 (* x x)) (+ 1 (* (* x (* x (* x x))) (+ 1 (* x (* x (* x x))))))))
(- 1 (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x))))))))
1
(* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))))
(* x x)
x
(* (* x (* x (* x x))) (* x (* x (* x (* x (* x x))))))
(* x (* x (* x x)))
(* x (* x x))
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* (- 1 (* x x)) (+ 1 (* (* x (* x (* x x))) (+ 1 (* x (* x (* x x)))))))
(- 1 (* x x))
(+ 1 (* (* x (* x (* x x))) (+ 1 (* x (* x (* x x))))))
(* (* x (* x (* x x))) (+ 1 (* x (* x (* x x)))))
(+ 1 (* x (* x (* x x))))

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

localize341.0ms (3.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(E.f64)
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))))
✓	accuracy	98.4%	(+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
✓	accuracy	98.4%	(*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))

Results

127.0ms

256×

valid

Compiler

Compiled 489 to 35 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 49.0ms (59% of total)

ival-add: 19.0ms (22.9% of total)

ival-div: 7.0ms (8.4% of total)

ival-sub: 5.0ms (6% of total)

ival-e: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

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

series14.0ms (0.1%)

Counts

21 → 192

Calls

Call 1

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

Outputs
#<alt (/ (+ 2 (E)) (- (pow (+ 1 (E)) 2) 1))>
#<alt (+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))>
#<alt (+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))>
#<alt (+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))>
#<alt (/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 8)))>
#<alt (+ 1 (* -1 (pow x 8)))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) 1))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) 1))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) 1))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) 1))>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 12)))>
#<alt (+ 1 (* -1 (pow x 12)))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (/ 1 (pow x 12)) 1))>
#<alt (* (pow x 12) (- (/ 1 (pow x 12)) 1))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (/ 1 (pow x 12)) 1))>
#<alt (* (pow x 12) (- (/ 1 (pow x 12)) 1))>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* x x))
2.0ms	x	@	0	(/ (+ 1 (* x x)) (/ (- (* (+ 1 (E)) (+ 1 (E))) 1) (+ (+ 1 (E)) 1)))
1.0ms	x	@	inf	(/ (- 1 (* (* x x) (* x (* x (* x (* x (* x x))))))) (* (- 1 (* x x)) (+ 1 (* x (* x (* x x))))))
1.0ms	x	@	inf	(/ (- 1 (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))))) (* (- 1 (* x x)) (+ 1 (* (* x (* x (* x x))) (+ 1 (* x (* x (* x x))))))))
1.0ms	x	@	0	(/ (- 1 (* (* x x) (* x (* x (* x (* x (* x x))))))) (* (- 1 (* x x)) (+ 1 (* x (* x (* x x))))))

rewrite508.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4888×	`-lowering-.f32`
4888×	`-lowering-.f64`
2774×	`/-lowering-/.f32`
2774×	`/-lowering-/.f64`
2164×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	239
1	288	110
2	2959	91
0	10054	91

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 849

Calls

Call 1

Inputs
(/ (+ 1 (* x x)) (/ (- (* (+ 1 (E)) (+ 1 (E))) 1) (+ (+ 1 (E)) 1)))
(/ (- (* (+ 1 (E)) (+ 1 (E))) 1) (+ (+ 1 (E)) 1))
(- (* (+ 1 (E)) (+ 1 (E))) 1)
(+ (+ 1 (E)) 1)
(* x x)
(+ 1 (* x (* x (+ 1 (* (* x x) 1/2)))))
(* x (* x (+ 1 (* (* x x) 1/2))))
(* x (+ 1 (* (* x x) 1/2)))
(+ 1 (* (* x x) 1/2))
(/ (- 1 (* (* x x) (* x (* x (* x (* x (* x x))))))) (* (- 1 (* x x)) (+ 1 (* x (* x (* x x))))))
(- 1 (* (* x x) (* x (* x (* x (* x (* x x)))))))
(* (* x x) (* x (* x (* x (* x (* x x))))))
(/ (- 1 (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))))) (* (- 1 (* x x)) (+ 1 (* (* x (* x (* x x))) (+ 1 (* x (* x (* x x))))))))
(- 1 (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x))))))))
(* (* x x) (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))))
(* (+ 1 (E)) (+ 1 (E)))
(E)
(* (* x x) 1/2)
(* x (* x x))
(* x (* x (* x x)))
(* x (* x (* x (* x x))))

Outputs
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (E.f64))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (E.f64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (E.f64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (E.f64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (.f64 (E.f64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (E.f64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 1 binary64)))) (E.f64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) (E.f64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) (.f64 (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (E.f64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (E.f64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (E.f64))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (E.f64))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (E.f64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (E.f64) #s(literal 2 binary64))) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))
(pow.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (E.f64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (E.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 (E.f64) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (E.f64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (E.f64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(+.f64 #s(literal 1 binary64) (-.f64 (E.f64) #s(literal 1 binary64)))
(+.f64 (E.f64) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(exp.f64 #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (E.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (E.f64) (E.f64)))
(cbrt.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))))
(fma.f64 #s(literal 1 binary64) (E.f64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal -1 binary64))
(fma.f64 (E.f64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) #s(literal -1 binary64))
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(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) #s(literal -1 binary64)) (.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (+.f64 (E.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (+.f64 (E.f64) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))) (+.f64 (E.f64) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) (+.f64 (E.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (E.f64) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))
(/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (E.f64)))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (E.f64) #s(literal 1 binary64))
(.f64 (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (.f64 (E.f64) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(*.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (/.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64)))
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) (*.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) (E.f64))
(.f64 (/.f64 (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (E.f64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (E.f64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (E.f64) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64)))) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (E.f64) (+.f64 (E.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (E.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))) (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))) (pow.f64 (E.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))) (exp.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (E.f64) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 5 binary64))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) #s(literal 1 binary64))

simplify690.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

3586×	`-lowering-.f32`
3586×	`-lowering-.f64`
1890×	`+-lowering-+.f64`
1890×	`+-lowering-+.f32`
1416×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1293
1	187	1193
2	519	1165
3	2371	932
4	7457	932
0	8505	932

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ (+ 2 (E)) (- (pow (+ 1 (E)) 2) 1))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
1
1
(+ 1 (* -1 (pow x 8)))
(+ 1 (* -1 (pow x 8)))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
1
1
(+ 1 (* -1 (pow x 12)))
(+ 1 (* -1 (pow x 12)))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

Outputs
(/ (+ 2 (E)) (- (pow (+ 1 (E)) 2) 1))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(*.f64 (/.f64 x (E.f64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(*.f64 (/.f64 x (E.f64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(+ (* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1)))) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))
(*.f64 (/.f64 x (E.f64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(/ (* (pow x 2) (+ 2 (E))) (- (pow (+ 1 (E)) 2) 1))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(* (pow x 2) (+ (* 2 (/ 1 (- (pow (+ 1 (E)) 2) 1))) (+ (/ 2 (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (+ (/ (E) (* (pow x 2) (- (pow (+ 1 (E)) 2) 1))) (/ (E) (- (pow (+ 1 (E)) 2) 1))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) (.f64 x (+.f64 (/.f64 x (E.f64)) (/.f64 (/.f64 (E.f64) (*.f64 (E.f64) (+.f64 #s(literal 2 binary64) (E.f64)))) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ 1 (* 1/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ 1 (* 1/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* 1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* 1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 8)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(+ 1 (* -1 (pow x 8)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (pow x 8))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (pow x 8))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (pow x 8))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (pow x 8))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (/ 1 (pow x 8)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 12)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(+ 1 (* -1 (pow x 12)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (pow x 12))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (pow x 12))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (pow x 12))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (pow x 12))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (/ 1 (pow x 12)) 1))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

eval245.0ms (2.4%)

Compiler: Compiled 67389 to 4340 computations (93.6% saved)

prune255.0ms (2.5%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1719	7	1726
Fresh	2	2	4
Picked	2	3	5
Done	0	7	7
Total	1723	19	1742

Accuracy

100.0%

Counts

1742 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
	9.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
	11.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	9.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	11.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
	73.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64)) (+.f64 (E.f64) #s(literal 2 binary64))))
✓	74.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
	9.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))))
✓	47.2%	(/.f64 #s(literal 1 binary64) (E.f64))
	50.3%	(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	53.7%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))))
✓	37.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
	74.4%	(*.f64 (/.f64 x (E.f64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
	44.1%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
	43.8%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	30.8%	(*.f64 x x)
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	62.1%	(exp.f64 (*.f64 x x))
✓	9.9%	#s(literal 1 binary64)

Compiler

Compiled 1003 to 280 computations (72.1% saved)

regimes102.0ms (1%)

Counts

28 → 1

Calls

Call 1

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

Outputs
(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Calls

5 calls:

68.0ms	x
9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms	(*.f64 x x)
7.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes83.0ms (0.8%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	x
7.0ms	(*.f64 x x)
6.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes15.0ms (0.1%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
97.0%	4	`x`
97.0%	4	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes12.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	x
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
93.6%	3	`x`
93.6%	3	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes13.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	(*.f64 x x)
5.0ms	x

Results

Accuracy	Segments	Branch
91.2%	2	`x`
91.2%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes8.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.8%	2	`x`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes8.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 x x)
3.0ms	x

Results

Accuracy	Segments	Branch
87.8%	2	`x`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes7.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.8%	2	`x`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes331.0ms (3.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
74.5%	1	`x`
74.5%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
74.3%	2	`x`
74.3%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
74.3%	2	`x`
74.3%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
37.0%	2	`x`
37.0%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 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 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
9.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.7543784609811718e+102	9.186875013213154e+112
0.0ms	1.001976217207576e+72	5.028278112927678e+80
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7543784609811718e+102	9.186875013213154e+112
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.222826366550958e-11	3.6678981752058846

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.222826366550958e-11	3.6678981752058846

Results

17.0ms

160×

valid

Compiler

Compiled 112 to 99 computations (11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 10.0ms (77.5% of total)

ival-exp: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.222826366550958e-11	3.6678981752058846

Results

7.0ms

160×

valid

Compiler

Compiled 92 to 79 computations (14.1% saved)

Precisions

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

ival-sub: 1.0ms (29.1% of total)

ival-exp: 1.0ms (29.1% of total)

ival-neg: 1.0ms (29.1% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.222826366550958e-11	3.6678981752058846

Results

7.0ms

160×

valid

Compiler

Compiled 72 to 59 computations (18.1% saved)

Precisions

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

ival-sub: 1.0ms (28.9% of total)

ival-exp: 1.0ms (28.9% of total)

ival-neg: 1.0ms (28.9% of total)

const: 0.0ms (0% of total)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary64`
50×	`+-commutative_binary64`
46×	`distribute-lft-neg-in_binary64`
46×	`distribute-rgt-neg-in_binary64`
32×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	393
1	121	393
2	143	393
3	166	393
4	195	393
5	222	393
6	237	393
7	242	393
8	243	393

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (exp.f64 (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 889460926405673/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1 binary64) (.f64 x x))
#s(literal 1 binary64)

Outputs
(pow.f64 (E.f64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (exp.f64 (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (exp.f64 (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (E.f64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 889460926405673/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 889460926405673/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1 binary64) (.f64 x x))
#s(literal 1 binary64)

soundness3.3s (32.1%)

Rules

4888×	`-lowering-.f32`
4888×	`-lowering-.f64`
4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
3586×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	104	45
2	762	41
0	9090	41
0	5	12
1	29	12
2	170	12
3	1489	12
0	9155	12
0	6	7
1	18	6
2	48	6
3	107	5
4	237	5
5	466	5
6	779	5
7	1279	5
8	2967	5
9	6040	5
0	8064	5
0	10	36
1	82	34
2	549	30
3	5580	30
0	8154	30
0	57	425
1	183	384
2	580	368
3	2072	347
4	6237	347
0	8163	347
0	66	1293
1	187	1193
2	519	1165
3	2371	932
4	7457	932
0	8505	932
0	97	621
1	338	525
2	1046	494
3	3277	491
0	8652	491
0	26	190
1	74	166
2	259	161
3	748	159
4	1956	159
5	2642	159
6	3575	159
7	7031	159
0	8128	159
0	34	239
1	288	110
2	2959	91
0	10054	91

Stop Event

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

Compiler

Compiled 865 to 400 computations (53.8% saved)

preprocess73.0ms (0.7%)

Remove: (abs x)
Compiler: Compiled 852 to 194 computations (77.2% saved)

Iter	Nodes	Cost
0	73	393
1	121	393
2	143	393
3	166	393
4	195	393
5	222	393
6	237	393
7	242	393
8	243	393

Iter	Nodes	Cost
0	73	393
1	121	393
2	143	393
3	166	393
4	195	393
5	222	393
6	237	393
7	242	393
8	243	393

analyze0.0ms (0%)

sample705.0ms (6.8%)

preprocess219.0ms (2.1%)

explain68.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify197.0ms (1.9%)

localize26.0ms (0.3%)

series2.0ms (0%)

rewrite304.0ms (2.9%)

simplify226.0ms (2.2%)

eval40.0ms (0.4%)

prune56.0ms (0.5%)

simplify201.0ms (1.9%)

localize77.0ms (0.7%)

series7.0ms (0.1%)

rewrite337.0ms (3.3%)

simplify170.0ms (1.6%)

eval178.0ms (1.7%)

prune102.0ms (1%)

simplify171.0ms (1.7%)

localize74.0ms (0.7%)

series3.0ms (0%)

rewrite285.0ms (2.8%)

simplify224.0ms (2.2%)

eval154.0ms (1.5%)

prune119.0ms (1.2%)

simplify261.0ms (2.5%)

localize341.0ms (3.3%)

series14.0ms (0.1%)

rewrite508.0ms (4.9%)

simplify690.0ms (6.7%)

eval245.0ms (2.4%)

prune255.0ms (2.5%)

regimes102.0ms (1%)

regimes83.0ms (0.8%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes331.0ms (3.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

simplify18.0ms (0.2%)

soundness3.3s (32.1%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	73	393
1	121	393
2	143	393
3	166	393
4	195	393
5	222	393
6	237	393
7	242	393
8	243	393