Metrics for Expression 3, p15

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

Precisions

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

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

ival-and: 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-<=: 0.0ms (0% of total)

sample818.0ms (15.1%)

Results

621.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-mult: 207.0ms (51.9% of total)

ival-<=: 121.0ms (30.3% of total)

ival-add: 47.0ms (11.8% of total)

ival-and: 10.0ms (2.5% of total)

const: 10.0ms (2.5% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess45.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

648×	`fnmadd-define`
542×	`fnmsub-define`
538×	`fmsub-define`
384×	`fmm-def`
336×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	46	20
2	162	18
3	611	18
4	1503	18
5	2196	18
6	2300	18
0	4	7
1	14	6
2	25	6
3	34	6
4	48	6
5	76	6
6	82	6
0	82	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* x (* x x)) (* x x))

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

Call 2

Inputs
(+ (* x (* x x)) (* x x))
(+ (* (neg x) (* (neg x) (neg x))) (* (neg x) (neg x)))
(neg (+ (* (neg x) (* (neg x) (neg x))) (* (neg x) (neg x))))

Outputs
(+ (* x (* x x)) (* x x))
(* x (fma x x x))
(+ (* (neg x) (* (neg x) (neg x))) (* (neg x) (neg x)))
(* x (fnmadd x x x))
(neg (+ (* (neg x) (* (neg x) (neg x))) (* (neg x) (neg x))))
(fnmadd x x (pow x 3))

explain98.0ms (1.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(.f64 x (.f64 x x))`
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Results

79.0ms

512×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 8.0ms (60.2% of total)

ival-add: 4.0ms (30.1% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 9 computations (50% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

42×	`-lowering-.f32`
42×	`-lowering-.f64`
40×	`fma-define`
28×	`fma-lowering-fma.f32`
28×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	26	28
2	38	28
3	61	28
4	65	28
0	65	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* x (+ x 1)))
x
(* x (+ x 1))
(+ x 1)
1
(+ (* x (* x x)) (* x x))
(* x (* x x))
x
(* x x)

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

localize43.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))

Results

21.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (70% of total)

ival-add: 3.0ms (30% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

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

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

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (* x x))
1.0ms	x	@	inf	(* x (* x (+ x 1)))
0.0ms	x	@	0	(* x (* x (+ x 1)))
0.0ms	x	@	0	(* x (* x x))
0.0ms	x	@	-inf	(* x (* x x))

rewrite289.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
1888×	`fma-lowering-fma.f32`
1888×	`fma-lowering-fma.f64`
1774×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	49	25
2	349	25
3	3397	25
0	8110	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 392

Calls

Call 1

Inputs
(* x (* x (+ x 1)))
(* x (+ x 1))
(+ x 1)
(+ (* x (* x x)) (* x x))
(* x (* x x))
(* x x)

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

simplify296.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

5118×	`-lowering-.f32`
5118×	`-lowering-.f64`
3534×	`cube-prod`
2370×	`/-lowering-/.f32`
2370×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	298
1	49	298
2	85	271
3	245	271
4	1394	271
5	2590	271
6	3990	271
7	4986	271
8	5842	271
9	6202	271
10	6473	271
11	6692	271
12	6919	271
13	7009	271
14	7798	271
0	8409	271

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

eval174.0ms (3.2%)

Compiler: Compiled 13195 to 859 computations (93.5% saved)

prune45.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	484	4	488
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	485	5	490

Accuracy

100.0%

Counts

490 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.3%	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))))
▶	100.0%	(.f64 x (+.f64 (.f64 x x) x))
✓	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
▶	98.7%	(*.f64 x x)

Compiler

Compiled 54 to 28 computations (48.1% saved)

simplify307.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	512	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) x)
✓	cost-diff	0	(.f64 x (+.f64 (.f64 x x) x))
✓	cost-diff	0	(*.f64 x x)

Rules

2492×	`-lowering-.f32`
2492×	`-lowering-.f64`
1408×	`/-lowering-/.f32`
1408×	`/-lowering-/.f64`
1328×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	59	100
2	185	94
3	776	90
4	1900	90
5	5063	89
0	8174	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize94.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	31.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 x x) x))
✓	accuracy	100.0%	(*.f64 x x)

Results

62.0ms

256×

valid

Compiler

Compiled 125 to 18 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 19.0ms (63.6% of total)

ival-div: 5.0ms (16.7% of total)

ival-sub: 3.0ms (10% of total)

ival-add: 3.0ms (10% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 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)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 2))>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (- 1 (/ 1 x)) (pow x 3))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (* -1 (/ (- (/ 1 x) 1) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 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)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* -1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<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 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 x) 1))>
#<alt (* (pow x 3) (- (/ 1 x) 1))>
#<alt (* (pow x 3) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 x))))>

Calls

33 calls:

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

rewrite493.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4182×	`/-lowering-/.f32`
4182×	`/-lowering-/.f64`
4164×	`-lowering-.f32`
4164×	`-lowering-.f64`
1262×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	118	61
2	912	58
0	8831	58

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1611

Calls

Call 1

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

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

simplify175.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
1224×	`/-lowering-/.f32`
1224×	`/-lowering-/.f64`
1150×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	772
1	191	737
2	530	671
3	1847	661
4	6257	657
0	8219	657

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(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)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 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)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(/ 1 (pow x 3))
(/ (- 1 (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(/ 1 (pow x 3))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 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)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* -1 x)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))

Outputs
(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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 x x))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ (- 1 (/ 1 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* -1 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* -1 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (* -1 x)))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (* -1 x)))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 x) 1))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 3) (- (/ 1 x) 1))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 3) (- (/ 1 x) 1))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))

eval283.0ms (5.2%)

Compiler: Compiled 48067 to 2711 computations (94.4% saved)

prune218.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1891	2	1893
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1893	5	1898

Accuracy

100.0%

Counts

1898 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) x)
▶	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
✓	100.0%	(.f64 x (+.f64 (.f64 x x) x))
✓	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 42 to 25 computations (40.5% saved)

simplify256.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

6154×	`-lowering-.f32`
6154×	`-lowering-.f64`
2242×	`/-lowering-/.f32`
2242×	`/-lowering-/.f64`
1722×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	34	49
2	78	48
3	155	45
4	299	45
5	607	45
6	1784	45
7	2397	45
8	3989	45
9	4780	45
10	6253	45
0	8014	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize53.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	86.6%	(/.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓	accuracy	99.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))

Results

39.0ms

256×

valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

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

ival-div: 7.0ms (45.6% of total)

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

ival-add: 3.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite282.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3054×	`-lowering-.f32`
3054×	`-lowering-.f64`
2918×	`/-lowering-/.f32`
2918×	`/-lowering-/.f64`
1586×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	81	40
2	599	37
3	6100	37
0	8818	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 567

Calls

Call 1

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

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

simplify184.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2014×	`fnmsub-define`
1840×	`sum4-define`
1702×	`-lowering-.f32`
1702×	`-lowering-.f64`
1606×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	488
1	173	459
2	517	409
3	1805	405
4	5797	403
0	8814	403

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval66.0ms (1.2%)

Compiler: Compiled 12781 to 1619 computations (87.3% saved)

prune69.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	662	1	663
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	663	5	668

Accuracy

100.0%

Counts

668 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.7%	(/.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) x)
▶	99.0%	(/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	100.0%	(.f64 x (+.f64 (.f64 x x) x))
✓	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

84×	`sum3-define`
44×	`fma-define`
44×	`+-lowering-+.f64`
44×	`+-lowering-+.f32`
32×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	7	17
2	16	15
3	27	15
4	39	15
5	57	15
6	86	15
7	111	15
8	134	15
9	167	15
10	199	15
11	201	15
0	201	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.8%	(/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))

Results

13.0ms

256×

valid

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (70% of total)

ival-sub: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite144.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`-lowering-.f32`
1408×	`-lowering-.f64`
1134×	`frac-times`
1116×	`/-lowering-/.f32`
1116×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	34	13
2	271	13
3	4218	12
0	9097	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 215

Calls

Call 1

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

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

simplify163.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2286×	`fma-lowering-fma.f32`
2286×	`fma-lowering-fma.f64`
1944×	`sum4-define`
1758×	`fnmsub-define`
1656×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	202
1	133	182
2	430	150
3	1429	146
4	4453	144
0	8016	144

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval26.0ms (0.5%)

Compiler: Compiled 5237 to 589 computations (88.8% saved)

prune31.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	250	6	256

Accuracy

100.0%

Counts

256 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.7%	(/.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) x)
	98.6%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	99.0%	(/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	100.0%	(.f64 x (+.f64 (.f64 x x) x))
✓	100.0%	(.f64 x (.f64 x (+.f64 x #s(literal 1 binary64))))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 137 to 56 computations (59.1% saved)

regimes42.0ms (0.8%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 x (+.f64 (.f64 x x) x))

Calls

2 calls:

38.0ms	x
3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.1b remaining (-13.1%)

Threshold costs -0.1b (-13.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	16	17

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness600.0ms (11.1%)

Rules

5118×	`-lowering-.f32`
5118×	`-lowering-.f64`
3534×	`cube-prod`
2774×	`-lowering-.f32`
2774×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	49	25
2	349	25
3	3397	25
0	8110	25
0	4	7
1	14	6
2	25	6
3	34	6
4	48	6
5	76	6
6	82	6
0	82	6
0	14	298
1	49	298
2	85	271
3	245	271
4	1394	271
5	2590	271
6	3990	271
7	4986	271
8	5842	271
9	6202	271
10	6473	271
11	6692	271
12	6919	271
13	7009	271
14	7798	271
0	8409	271

Stop Event

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

Compiler

Compiled 54 to 29 computations (46.3% saved)

preprocess27.0ms (0.5%)

Compiler: Compiled 72 to 34 computations (52.8% saved)

Iter	Nodes	Cost
0	5	17
1	7	17
2	16	15
3	27	15
4	39	15
5	57	15
6	86	15
7	111	15
8	134	15
9	167	15
10	199	15
11	201	15
0	201	15

Iter	Nodes	Cost
0	5	17
1	7	17
2	16	15
3	27	15
4	39	15
5	57	15
6	86	15
7	111	15
8	134	15
9	167	15
10	199	15
11	201	15
0	201	15

analyze0.0ms (0%)

sample818.0ms (15.1%)

preprocess45.0ms (0.8%)

explain98.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.6%)

localize43.0ms (0.8%)

series6.0ms (0.1%)

rewrite289.0ms (5.3%)

simplify296.0ms (5.5%)

eval174.0ms (3.2%)

prune45.0ms (0.8%)

simplify307.0ms (5.7%)

localize94.0ms (1.7%)

series7.0ms (0.1%)

rewrite493.0ms (9.1%)

simplify175.0ms (3.2%)

eval283.0ms (5.2%)

prune218.0ms (4%)

simplify256.0ms (4.7%)

localize53.0ms (1%)

series3.0ms (0.1%)

rewrite282.0ms (5.2%)

simplify184.0ms (3.4%)

eval66.0ms (1.2%)

prune69.0ms (1.3%)

simplify11.0ms (0.2%)

localize20.0ms (0.4%)

series1.0ms (0%)

rewrite144.0ms (2.7%)

simplify163.0ms (3%)

eval26.0ms (0.5%)

prune31.0ms (0.6%)

regimes42.0ms (0.8%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness600.0ms (11.1%)

preprocess27.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	17
1	7	17
2	16	15
3	27	15
4	39	15
5	57	15
6	86	15
7	111	15
8	134	15
9	167	15
10	199	15
11	201	15
0	201	15