Metrics for fabs fraction 2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample637.0ms (47.4%)

Memory

26.5MiB live, 1 071.6MiB allocated; 165ms collecting garbage

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sub!: 56.0ms (35.7% of total)

ival-fabs: 55.0ms (35.1% of total)

ival-div!: 44.0ms (28.1% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

explain57.0ms (4.3%)

Memory

-24.9MiB live, 118.6MiB allocated; 17ms 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

21.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-fabs: 3.0ms (40.6% of total)

ival-sub!: 2.0ms (27.1% of total)

ival-div!: 2.0ms (27.1% of total)

adjust: 0.0ms (0% of total)

preprocess225.0ms (16.7%)

Memory

8.6MiB live, 200.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	41	40
2	62	40
3	120	40
4	240	40
5	419	40
6	1472	40
7	5212	40
0	6	6
0	9	6
1	15	6
2	23	6
3	43	6
4	92	6
5	198	6
6	770	6
7	5212	6
0	8049	6

Stop Event

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

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 1/2 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

1.0MiB live, 1.0MiB 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)

series4.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

6 → 16

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
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -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)
1.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

rewrite71.0ms (5.3%)

Memory

-5.6MiB live, 140.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	178
0	55	161
1	206	158
0	1504	158

Stop Event

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

Counts

22 → 53

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)
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Outputs
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (-.f64 a b)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 a b))
(/.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) (-.f64 (neg.f64 b) a))
(/.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (+.f64 b a))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b))))
(neg.f64 (-.f64 b a))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 b #s(literal -1 binary64) a)
(-.f64 (/.f64 (.f64 a a) (+.f64 b a)) (/.f64 (.f64 b b) (+.f64 b a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))))
(-.f64 a (*.f64 (neg.f64 b) #s(literal -1 binary64)))
(-.f64 a b)
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))))
(+.f64 (neg.f64 b) a)
(+.f64 a (neg.f64 b))
a
b
#s(literal 2 binary64)
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx a a)
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (- a b) (-.f64 a b))
#s(approx b b)
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))

eval5.0ms (0.4%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 584 to 174 computations (70.2% saved)

prune1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	1	48

Accuracy

100.0%

Counts

48 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

series6.0ms (0.4%)

Memory

-35.8MiB live, 10.9MiB allocated; 2ms collecting garbage

Counts

7 → 19

Calls

Call 1

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

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx b #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a)
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a)
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a)
1.0ms	a	@	0	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a)

rewrite53.0ms (3.9%)

Memory

27.1MiB live, 73.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	235
0	68	215
1	238	210
0	1709	210

Stop Event

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

Counts

26 → 54

Calls

Call 1

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

Outputs
#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))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (-.f64 a b)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(sqrt.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (-.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 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(neg.f64 (-.f64 a b))
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 a #s(literal -1 binary64) b)
(-.f64 (/.f64 (.f64 b b) (+.f64 b a)) (/.f64 (.f64 a a) (+.f64 b a)))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (+.f64 b a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (.f64 a (+.f64 b a)))))
(-.f64 b a)
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (+.f64 b a)))) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 b b (.f64 a (+.f64 b a)))))
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))
b
a
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx a a)
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)))
#s(approx (- b a) (-.f64 b a))
#s(approx b b)
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))

eval5.0ms (0.3%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 872 to 205 computations (76.5% saved)

prune2.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
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 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
▶	48.1%	#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
▶	54.9%	#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))

Status

Accuracy

Program

▶

100.0%

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

▶

48.1%

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

▶

54.9%

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

Compiler

Compiled 44 to 36 computations (18.2% saved)

series13.0ms (1%)

Memory

-42.8MiB live, 14.0MiB allocated; 11ms collecting garbage

Counts

16 → 34

Calls

Call 1

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

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a (/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a (/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a (/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a (/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
1.0ms	a	@	0	((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a (/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))

rewrite55.0ms (4.1%)

Memory

36.7MiB live, 83.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	471
0	100	433
1	286	425
0	1832	425

Stop Event

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

Counts

50 → 92

Calls

Call 1

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

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b)))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(approx (- b a) b)) (sqrt.f64 #s(approx (- b a) b)))
(pow.f64 (pow.f64 #s(approx (- b a) b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (- b a) b) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) b))))
(fabs.f64 (neg.f64 #s(approx (- b a) b)))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a))))
(*.f64 (sqrt.f64 #s(approx (- b a) (neg.f64 a))) (sqrt.f64 #s(approx (- b a) (neg.f64 a))))
(pow.f64 (pow.f64 #s(approx (- b a) (neg.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (- b a) (neg.f64 a)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) (neg.f64 a)))))
(fabs.f64 (neg.f64 #s(approx (- b a) (neg.f64 a))))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
a
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 a b))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (neg.f64 b) a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (neg.f64 (+.f64 b a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(neg.f64 (-.f64 b a))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 b #s(literal -1 binary64) a)
(-.f64 (/.f64 (.f64 a a) (+.f64 b a)) (/.f64 (.f64 b b) (+.f64 b a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))))
(-.f64 a b)
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))))
(+.f64 (neg.f64 b) a)
(+.f64 a (neg.f64 b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx (neg a) (neg.f64 a))
#s(approx a a)
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (- b a) (-.f64 b a))
#s(approx b b)
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))

eval10.0ms (0.7%)

Memory: -28.3MiB live, 18.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 460 to 301 computations (79.4% saved)

prune3.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	79	3	82

Accuracy

100.0%

Counts

82 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 #s(approx a a) b)) #s(literal 1/2 binary64)))
▶	54.9%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64)))
▶	48.1%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- a b) a)) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

100.0%

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

▶

54.9%

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

▶

48.1%

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

Compiler

Compiled 45 to 35 computations (22.2% saved)

series5.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

16 → 33

Calls

Call 1

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

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* (fabs (- a b)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Calls

6 calls:

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

rewrite56.0ms (4.1%)

Memory

10.0MiB live, 56.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	470
0	95	433
1	300	425
0	1976	425

Stop Event

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

Counts

49 → 78

Calls

Call 1

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

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- a b) a))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- a b) a)))
(*.f64 (fabs.f64 #s(approx (- a b) a)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(approx (- a b) a)) (sqrt.f64 #s(approx (- a b) a)))
(pow.f64 (pow.f64 #s(approx (- a b) a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (- a b) a) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- a b) a))))
(fabs.f64 (neg.f64 #s(approx (- a b) a)))
(fabs.f64 #s(approx (- a b) a))
#s(approx (- a b) a)
a
#s(literal 1/2 binary64)
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b)))
(*.f64 (sqrt.f64 #s(approx (- b a) b)) (sqrt.f64 #s(approx (- b a) b)))
(pow.f64 (pow.f64 #s(approx (- b a) b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (- b a) b) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) b))))
(fabs.f64 (neg.f64 #s(approx (- b a) b)))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 b #s(approx a a))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 b #s(approx a a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b #s(approx a a))))
(*.f64 (sqrt.f64 (-.f64 #s(approx a a) b)) (sqrt.f64 (-.f64 #s(approx a a) b)))
(pow.f64 (pow.f64 (-.f64 #s(approx a a) b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 #s(approx a a) b) (-.f64 #s(approx a a) b))) (fabs.f64 (+.f64 #s(approx a a) b)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 #s(approx a a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(approx a a) #s(approx a a) (*.f64 b (+.f64 #s(approx a a) b)))))
(sqrt.f64 (*.f64 (-.f64 b #s(approx a a)) (-.f64 b #s(approx a a))))
(sqrt.f64 (pow.f64 (-.f64 #s(approx a a) b) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (-.f64 b #s(approx a a))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(approx a a) b))))
(fabs.f64 (-.f64 b #s(approx a a)))
(fabs.f64 (neg.f64 (-.f64 #s(approx a a) b)))
(fabs.f64 (-.f64 #s(approx a a) b))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx a a) b) (-.f64 #s(approx a a) b))) (neg.f64 (+.f64 #s(approx a a) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx a a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx a a) #s(approx a a) (*.f64 b (+.f64 #s(approx a a) b)))))
(/.f64 (*.f64 (+.f64 #s(approx a a) b) (-.f64 #s(approx a a) b)) (+.f64 #s(approx a a) b))
(/.f64 (-.f64 (pow.f64 #s(approx a a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(approx a a) #s(approx a a) (*.f64 b (+.f64 #s(approx a a) b))))
(-.f64 (/.f64 (pow.f64 #s(approx a a) #s(literal 2 binary64)) (+.f64 #s(approx a a) b)) (/.f64 (*.f64 b b) (+.f64 #s(approx a a) b)))
(-.f64 (/.f64 (pow.f64 #s(approx a a) #s(literal 3 binary64)) (fma.f64 #s(approx a a) #s(approx a a) (.f64 b (+.f64 #s(approx a a) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(approx a a) #s(approx a a) (.f64 b (+.f64 #s(approx a a) b)))))
(-.f64 #s(approx a a) b)
#s(approx a a)
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx a a)
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (-.f64 b a))
#s(approx b b)
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b))))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))

eval14.0ms (1%)

Memory: -31.0MiB live, 19.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 215 to 226 computations (81.4% saved)

prune5.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	64	3	67

Accuracy

100.0%

Counts

67 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 #s(approx a a) #s(approx b b))) #s(literal 1/2 binary64)))
	54.9%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) #s(approx b b))) #s(literal 1/2 binary64)))
	48.1%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- a b) a)) #s(literal 1/2 binary64)))

Status

Accuracy

Program

100.0%

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

54.9%

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

48.1%

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

Compiler

Compiled 206 to 84 computations (59.2% saved)

regimes19.0ms (1.4%)

Memory

-15.7MiB live, 31.3MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(fabs.f64 (-.f64 a b))
3.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
3.0ms	b
3.0ms	(-.f64 a b)
3.0ms	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)

regimes11.0ms (0.8%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.5%	3	`(-.f64 a b)`
58.5%	3	`(fabs.f64 (-.f64 a b))`
58.5%	3	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
86.4%	2	`a`
83.5%	2	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.4%)

Memory

13.4MiB live, 13.4MiB 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) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.9%	1	`(-.f64 a b)`
54.9%	1	`(fabs.f64 (-.f64 a b))`
54.9%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
54.9%	1	`b`
54.9%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch17.0ms (1.2%)

Memory

-34.4MiB live, 13.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-4.333494346805049e-135	-8.946478562619725e-138

Samples

4.0ms

128×

valid

Compiler

Compiled 249 to 211 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-fabs: 1.0ms (55.7% of total)

ival-div!: 1.0ms (55.7% of total)

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

adjust: 0.0ms (0% of total)

derivations28.0ms (2.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 62 to 23 computations (62.9% saved)

preprocess38.0ms (2.8%)

Memory: -18.6MiB live, 28.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 260 to 142 computations (45.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample637.0ms (47.4%)

explain57.0ms (4.3%)

preprocess225.0ms (16.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.3%)

rewrite71.0ms (5.3%)

eval5.0ms (0.4%)

prune1.0ms (0.1%)

series6.0ms (0.4%)

rewrite53.0ms (3.9%)

eval5.0ms (0.3%)

prune2.0ms (0.2%)

series13.0ms (1%)

rewrite55.0ms (4.1%)

eval10.0ms (0.7%)

prune3.0ms (0.3%)

series5.0ms (0.4%)

rewrite56.0ms (4.1%)

eval14.0ms (1%)

prune5.0ms (0.3%)

regimes19.0ms (1.4%)

regimes11.0ms (0.8%)

regimes5.0ms (0.4%)

bsearch17.0ms (1.2%)

derivations28.0ms (2.1%)

preprocess38.0ms (2.8%)

end0.0ms (0%)

Profiling