Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 8 computations (0% saved)

sample728.0ms (24.6%)

Memory

17.4MiB live, 1 197.5MiB allocated; 328ms collecting garbage

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-sub: 84.0ms (36% of total)

ival-div: 79.0ms (33.8% of total)

ival-fabs: 54.0ms (23.1% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain62.0ms (2.1%)

Memory

24.8MiB live, 127.9MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 a b))`
-	-	`(-.f64 a b)`
-	-	`b`
-	-	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-sub: 5.0ms (37.2% of total)

ival-div: 4.0ms (29.7% of total)

ival-fabs: 3.0ms (22.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess34.0ms (1.1%)

Memory

-1.4MiB live, 43.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
b
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
0.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

simplify114.0ms (3.9%)

Memory

-13.8MiB live, 125.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	91	52
2	257	52
3	723	52
4	1984	52
5	3422	52
6	5658	52
7	7889	52
0	8003	52

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
b
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs (- a b))
(fabs.f64 (-.f64 a b))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 a b))
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
b
(* b (- (/ a b) 1))
(-.f64 a b)
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 a b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite152.0ms (5.2%)

Memory

28.2MiB live, 307.6MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	15
1	34	15
2	191	14
3	2041	14
0	8928	14

Stop Event

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

Counts

6 → 638

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
(*.f64 (sqrt.f64 (-.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64))))
(/.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) (.f64 (fabs.f64 (+.f64 b a)) #s(literal -2 binary64)))
(/.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) (.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))
(/.f64 (-.f64 b a) #s(literal -2 binary64))
(/.f64 (-.f64 b a) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)))
(-.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))
(-.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal -2 binary64)))
(+.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 b a) b) (.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 b a) (.f64 b b)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) b) (+.f64 b a)))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 b a))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 b b)) (.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (+.f64 b a)))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (neg.f64 a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 a #s(literal 1 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
a
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(pow.f64 (neg.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(pow.f64 b #s(literal 1 binary64))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 b)))
(fabs.f64 (neg.f64 b))
(fabs.f64 b)
(exp.f64 (/.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (log.f64 b))
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
b
#s(literal 2 binary64)

eval63.0ms (2.1%)

Memory: -6.3MiB live, 91.0MiB allocated; 49ms collecting garbage
Compiler: Compiled 9 646 to 1 179 computations (87.8% saved)

prune13.0ms (0.4%)

Memory

-24.7MiB live, 19.4MiB allocated; 22ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	348	1	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	1	350

Accuracy

100.0%

Counts

350 → 1

Alt Table

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Status	Accuracy	Program
▶	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

7 → 15

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

Outputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
b
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b) a b 1/2)
0.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b) a b 1/2)
0.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b) a b 1/2)
0.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b) a b 1/2)
0.0ms	a	@	0	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b) a b 1/2)

simplify184.0ms (6.2%)

Memory

16.5MiB live, 164.1MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	91	52
2	257	52
3	723	52
4	1984	52
5	3422	52
6	5662	52
7	7892	52
0	8006	52

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
b
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(fabs (- a b))
(fabs.f64 (-.f64 a b))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 a b))
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
b
(* b (- (/ a b) 1))
(-.f64 a b)
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 a b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite138.0ms (4.7%)

Memory

2.0MiB live, 192.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	28
1	40	28
2	196	25
3	2063	25
0	8959	25

Stop Event

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

Counts

7 → 630

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (-.f64 b a)) (.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 b a))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(/.f64 (.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 #s(literal 1/2 binary64) (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 b a) b) (.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (+.f64 b a)))
(.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 b a) #s(literal 1 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 a a)) (.f64 (neg.f64 b) b)) (+.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (*.f64 b (/.f64 b (+.f64 b a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (*.f64 a a))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) (+.f64 b a)) (.f64 (+.f64 b a) (.f64 b b)))) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (-.f64 b a)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (-.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))))))
(-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 b a) (.f64 b b)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) b) (+.f64 b a)))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 b a))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 b b)) (.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (+.f64 b a)))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (neg.f64 a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 a #s(literal 1 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
a
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(pow.f64 (neg.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(pow.f64 b #s(literal 1 binary64))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 b)))
(fabs.f64 (neg.f64 b))
(fabs.f64 b)
(exp.f64 (/.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (log.f64 b))
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
b
#s(literal 1/2 binary64)

eval75.0ms (2.5%)

Memory: 0.7MiB live, 46.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 877 to 1 492 computations (87.4% saved)

prune36.0ms (1.2%)

Memory

-31.2MiB live, 16.4MiB allocated; 2ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	340	1	341
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	1	342

Accuracy

100.0%

Counts

342 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

6 → 19

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)

Outputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
b
(+ b (* -1 a))
a
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(- b a)
(* b (+ 1/2 (* -1/2 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(* -1 (* b (- (/ a b) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a) b a 1/2)
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a) b a 1/2)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a) b a 1/2)
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a) b a 1/2)
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a) b a 1/2)

simplify130.0ms (4.4%)

Memory

12.0MiB live, 158.3MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	87
1	149	71
2	411	71
3	1252	71
4	3163	71
5	4545	71
6	6436	71
0	8082	71

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
b
(+ b (* -1 a))
a
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(- b a)
(* b (+ 1/2 (* -1/2 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(* -1 (* b (- (/ a b) 1)))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 a) (* 1/2 b))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
b
(+ b (* -1 a))
(-.f64 b a)
a
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* a (- (* 1/2 (/ b a)) 1/2))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(-.f64 b a)
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(-.f64 b a)
(- b a)
(-.f64 b a)
(* b (+ 1/2 (* -1/2 (/ a b))))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b a)
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* -1 (* b (- (/ a b) 1)))
(-.f64 b a)

rewrite195.0ms (6.6%)

Memory

-3.3MiB live, 186.9MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	23
1	45	23
2	282	22
3	3242	22
0	9366	22

Stop Event

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

Counts

6 → 209

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 #s(literal 1/2 binary64) (-.f64 b a))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a))) (+.f64 b a))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (+.f64 b a))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 b b) (.f64 a (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (+.f64 b a)))
(.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 b a) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 b) b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 a a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 b b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 a a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 b) b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 b b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 b) b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 b b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 a a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 b) b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 a a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 b b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a)) (+.f64 b a))
(/.f64 (-.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b)) (+.f64 b a))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)))) (-.f64 b a))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (*.f64 a a))))))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))))) (fabs.f64 (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 b (/.f64 b (+.f64 b a))) (*.f64 a (/.f64 a (+.f64 b a))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 b b) (+.f64 b a)) (.f64 (+.f64 b a) (.f64 a a)))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
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(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(pow.f64 (neg.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(pow.f64 b #s(literal 1 binary64))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 b)))
(fabs.f64 (neg.f64 b))
(fabs.f64 b)
(exp.f64 (/.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (log.f64 b))
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
b
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (neg.f64 a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 a #s(literal 1 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
a
#s(literal 1/2 binary64)

eval40.0ms (1.3%)

Memory: -4.4MiB live, 40.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 412 to 994 computations (84.5% saved)

prune3.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	213	3	216

Accuracy

100.0%

Counts

216 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

▶

53.3%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

▶

47.6%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series4.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

10 → 12

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b

Outputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
(* -1/2 a)
a
(* a (- (* 1/2 (/ b a)) 1/2))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
b
(* b (+ 1/2 (* -1/2 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) -1/2 a (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b) 1/2 b)
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) -1/2 a (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b) 1/2 b)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) -1/2 a (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b) 1/2 b)
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) -1/2 a (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b) 1/2 b)
1.0ms	a	@	0	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) -1/2 a (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b) 1/2 b)

simplify115.0ms (3.9%)

Memory

-2.1MiB live, 141.6MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	61
1	103	51
2	261	51
3	862	51
4	2380	51
5	3873	51
6	6676	51
0	8043	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 10

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
(* -1/2 a)
a
(* a (- (* 1/2 (/ b a)) 1/2))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
b
(* b (+ 1/2 (* -1/2 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 a) (* 1/2 b))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
a
(* a (- (* 1/2 (/ b a)) 1/2))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
b
(* b (+ 1/2 (* -1/2 (/ a b))))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))

rewrite250.0ms (8.5%)

Memory

-31.1MiB live, 163.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	18	60
1	53	60
2	290	58
3	3245	58
0	9374	58

Stop Event

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

Counts

10 → 40

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (neg.f64 a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 a #s(literal 1 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
a
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(pow.f64 (neg.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(pow.f64 b #s(literal 1 binary64))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 b)))
(fabs.f64 (neg.f64 b))
(fabs.f64 b)
(exp.f64 (/.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (log.f64 b))
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
b

eval4.0ms (0.1%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 799 to 174 computations (78.2% saved)

prune3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

✓

53.3%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

✓

47.6%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Compiler

Compiled 107 to 62 computations (42.1% saved)

regimes15.0ms (0.5%)

Memory

-15.7MiB live, 27.3MiB allocated; 6ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Calls

5 calls:

6.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(-.f64 a b)
2.0ms	b
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 a b)`
100.0%	1	`(fabs.f64 (-.f64 a b))`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	b
1.0ms	(-.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
61.5%	4	`(-.f64 a b)`
61.5%	4	`(fabs.f64 (-.f64 a b))`
61.5%	4	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
82.4%	2	`a`
84.5%	2	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(-.f64 a b)
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
47.6%	1	`(fabs.f64 (-.f64 a b))`
47.6%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
47.6%	1	`(-.f64 a b)`
47.6%	1	`a`
47.6%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch92.0ms (3.1%)

Memory

-109.3MiB live, 4.4MiB allocated; 91ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
91.0ms	7.490642154099197e-94	8.33298321259814e-94

Samples

77.0ms

32×

valid

Compiler

Compiled 73 to 67 computations (8.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-fabs: 75.0ms (98.8% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify40.0ms (1.4%)

Memory

38.1MiB live, 38.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	30	64
2	41	64
3	59	64
4	93	64
5	139	64
6	301	64
7	1939	64
8	3620	64

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

(if (<=.f64 b #s(literal 915931607281795/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))))

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Outputs

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

(if (<=.f64 b #s(literal 915931607281795/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))))

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

derivations384.0ms (13%)

Memory

14.4MiB live, 335.4MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	87
1	149	71
2	411	71
3	1252	71
4	3163	71
5	4545	71
6	6436	71
0	8082	71
0	31	52
1	91	52
2	257	52
3	723	52
4	1984	52
5	3422	52
6	5658	52
7	7889	52
0	8003	52
0	11	29
0	14	28
1	40	28
2	196	25
3	2063	25
0	8959	25

Stop Event

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

Compiler

Compiled 64 to 23 computations (64.1% saved)

preprocess55.0ms (1.8%)

Memory: 6.1MiB live, 104.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 164 to 78 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

start0.0ms (0%)

analyze0.0ms (0%)

sample728.0ms (24.6%)

explain62.0ms (2.1%)

preprocess34.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify114.0ms (3.9%)

rewrite152.0ms (5.2%)

eval63.0ms (2.1%)

prune13.0ms (0.4%)

simplify0.0ms (0%)

series2.0ms (0.1%)

simplify184.0ms (6.2%)

rewrite138.0ms (4.7%)

eval75.0ms (2.5%)

prune36.0ms (1.2%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify130.0ms (4.4%)

rewrite195.0ms (6.6%)

eval40.0ms (1.3%)

prune3.0ms (0.1%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify115.0ms (3.9%)

rewrite250.0ms (8.5%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes15.0ms (0.5%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch92.0ms (3.1%)

simplify40.0ms (1.4%)

derivations384.0ms (13%)

preprocess55.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6