Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

sample742.0ms (22.6%)

Memory

30.0MiB live, 830.3MiB allocated

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 104.0ms (40.5% of total)

ival-sub: 76.0ms (29.6% of total)

ival-fabs: 64.0ms (24.9% of total)

ival-true: 5.0ms (1.9% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain62.0ms (1.9%)

Memory

-24.4MiB live, 135.5MiB allocated

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

33.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-fabs: 6.0ms (39.7% of total)

ival-sub: 5.0ms (33.1% of total)

ival-div: 3.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess23.0ms (0.7%)

Memory

6.3MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	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 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

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)

simplify6.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 a b)
cost-diff	0	(fabs.f64 (-.f64 a b))
cost-diff	384	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize19.0ms (0.6%)

Memory

2.7MiB live, 40.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
accuracy	0	(-.f64 a b)
accuracy	0	(fabs.f64 (-.f64 a b))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (43.2% of total)

ival-sub: 1.0ms (21.6% of total)

ival-fabs: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-26.1MiB live, 12.3MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())
#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())

#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())

#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))

simplify235.0ms (7.2%)

Memory

6.7MiB live, 128.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	550	303
4	1643	303
5	2492	303
6	3376	303
7	4963	303
8	5472	303
9	5848	303
10	6369	303
11	7037	303
12	7792	303
0	8020	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite229.0ms (7%)

Memory

-2.1MiB live, 245.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	38	13
2	204	13
3	1796	13
0	8632	13

Stop Event

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

Counts

3 → 354

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal 1/2 binary64)) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 b a)))))
(.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(.f64 #s(literal -1 binary64) (.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)) (.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (-.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) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.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 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 (fabs.f64 (-.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) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.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 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (neg.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 b a))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 b a)) (.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 b a)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 b a))) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))) (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))
(neg.f64 (*.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))) #s(literal -1 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 (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 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (fabs.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 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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #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 a #s(literal 3 binary64)) (pow.f64 b #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)))) (fabs.f64 (-.f64 b a)))
(.f64 (pow.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 b a)))))
(.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 a b) (neg.f64 (+.f64 b a)))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 a b) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 a b) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -1 binary64))))
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(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (+.f64 b a) (fma.f64 b b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (+.f64 b a) (fma.f64 b b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (+.f64 b a) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (+.f64 b a) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (-.f64 (neg.f64 b) a)))
(-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) a)) (/.f64 (.f64 a a) (-.f64 (neg.f64 b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (-.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))) (-.f64 b a))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (neg.f64 (+.f64 b a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (neg.f64 (+.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)))) (neg.f64 (neg.f64 (+.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)))) (neg.f64 (neg.f64 (+.f64 b a)))))
(-.f64 (/.f64 (.f64 a a) (neg.f64 (neg.f64 (+.f64 b a)))) (.f64 b (/.f64 b (+.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 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) 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 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #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 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 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 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 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 a #s(literal 3 binary64)) (neg.f64 (neg.f64 (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 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #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 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 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 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (+.f64 a #s(literal 0 binary64)) b)
(-.f64 (/.f64 (.f64 b b) (neg.f64 (+.f64 b a))) (/.f64 (.f64 a a) (neg.f64 (+.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)) (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 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 #s(literal 0 binary64) (-.f64 b a))
(-.f64 a b)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (neg.f64 (.f64 b (/.f64 b (+.f64 b a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(+.f64 (neg.f64 b) a)
(+.f64 a (neg.f64 b))

eval48.0ms (1.4%)

Memory: 21.7MiB live, 98.1MiB allocated
Compiler: Compiled 9 939 to 1 448 computations (85.4% saved)

prune54.0ms (1.6%)

Memory

-1.0MiB live, 77.6MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	422	1	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	1	424

Accuracy

100.0%

Counts

424 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 6 computations (0% saved)

simplify35.0ms (1.1%)

Memory

-31.6MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 b a)
cost-diff	0	(fabs.f64 (-.f64 b a))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	14	16
2	21	16
3	29	16
4	48	16
5	95	16
6	149	16
7	172	16
8	182	16
0	182	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

23.5MiB live, 23.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 b a)
accuracy	0	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 b a))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.8% of total)

ival-sub: 1.0ms (21.9% of total)

ival-fabs: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())
#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())

#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())

#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	b	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))

simplify270.0ms (8.2%)

Memory

-4.3MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite267.0ms (8.1%)

Memory

-19.1MiB live, 231.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	29	13
2	174	13
3	1648	13
0	8436	13

Stop Event

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

Counts

3 → 304

Calls

Call 1

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

Outputs
(.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))))) (neg.f64 (fabs.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b)))))
(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 a b)))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b)))) (fabs.f64 (+.f64 a b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 a b)) (.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))) (.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 (-.f64 a b)))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 a b) a) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 b b) (.f64 (+.f64 a b) a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 a b) a) (fma.f64 (+.f64 a b) a (neg.f64 (.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 b #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 a b) a) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 b b) (.f64 (+.f64 a 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 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 a b) a) (fma.f64 (+.f64 a b) a (neg.f64 (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fabs.f64 (-.f64 a b)))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 a b)))))
(.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))))
(.f64 (fabs.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 a b)))
(*.f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 (-.f64 b a) (-.f64 (neg.f64 a) b))))
(*.f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 a b))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (fabs.f64 (pow.f64 (-.f64 (neg.f64 a) b) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (fabs.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))) (fabs.f64 (/.f64 (-.f64 b a) (neg.f64 (fma.f64 (+.f64 a b) a (*.f64 b b))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 a b) a (.f64 b b))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 a b) a (*.f64 b b)))))
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(-.f64 (/.f64 (.f64 b b) (neg.f64 (-.f64 (neg.f64 a) b))) (.f64 a (/.f64 a (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (.f64 b b))) (+.f64 a b)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (.f64 b b))) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 a b)) (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 a b)))
(-.f64 (/.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 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))) (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))) (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) b)))))
(-.f64 (/.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 a b) a (.f64 b b))))) (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))) (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 a b) a (.f64 b b))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))))
(-.f64 (/.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 a b) a (.f64 b b))) (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b))) (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)))) (-.f64 a b))
(-.f64 (-.f64 b #s(literal 0 binary64)) a)
(-.f64 (neg.f64 (neg.f64 b)) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 (neg.f64 a) b)) (/.f64 (.f64 b b) (-.f64 (neg.f64 a) b)))
(-.f64 #s(literal 0 binary64) (-.f64 a b))
(-.f64 (.f64 b (/.f64 b (+.f64 a b))) (.f64 a (/.f64 a (+.f64 a b))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 a b) a (.f64 b b)))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))))
(-.f64 (neg.f64 a) (neg.f64 b))
(-.f64 b a)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 b #s(literal 0 binary64)) (neg.f64 a))
(+.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(+.f64 #s(literal 0 binary64) (-.f64 b a))
(+.f64 (.f64 b (/.f64 b (+.f64 a b))) (neg.f64 (.f64 a (/.f64 a (+.f64 a b)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))) (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b)))))
(+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))

eval53.0ms (1.6%)

Memory: 14.4MiB live, 88.0MiB allocated
Compiler: Compiled 9 216 to 1 325 computations (85.6% saved)

prune77.0ms (2.3%)

Memory

7.7MiB live, 90.0MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	372	2	374

Accuracy

100.0%

Counts

374 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
▶	50.3%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 a)
cost-diff	0	#s(approx (- b a) (neg.f64 a))
cost-diff	0	(fabs.f64 #s(approx (- b a) (neg.f64 a)))
cost-diff	0	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.6%)

Memory

-1.7MiB live, 34.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 a)
accuracy	0	(fabs.f64 #s(approx (- b a) (neg.f64 a)))
accuracy	32.25735848507535	#s(approx (- b a) (neg.f64 a))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 2.0ms (35.7% of total)

ival-sub: 1.0ms (17.9% of total)

ival-fabs: 1.0ms (17.9% of total)

ival-neg: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify133.0ms (4%)

Memory

-17.2MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	327
1	83	327
2	191	327
3	548	327
4	1608	327
5	2447	327
6	3328	327
7	4914	327
8	5422	327
9	5798	327
10	6319	327
11	6978	327
12	7739	327
0	8116	327

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite115.0ms (3.5%)

Memory

20.9MiB live, 178.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	11	24
1	32	24
2	163	24
3	1576	20
0	9747	20

Stop Event

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

Counts

4 → 52

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) a)))
(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- b a) a)))
(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)))) (fabs.f64 #s(approx (- b a) a)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) #s(literal 0 binary64))))
(fabs.f64 (-.f64 (neg.f64 #s(approx (- b a) a)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- b a) a)))
(fabs.f64 #s(approx (- b a) a))
(*.f64 #s(literal 1 binary64) #s(approx (- b a) a))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- b a) a)))
#s(approx (- b a) a)
(/.f64 (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (- b a) a))
(/.f64 (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (- b a) a) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (- b a) a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- b a) a))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64))) (neg.f64 #s(approx (- b a) a)))
(neg.f64 (neg.f64 #s(approx (- b a) a)))
(fma.f64 #s(literal 1 binary64) #s(approx (- b a) a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- b a) a)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- b a) a)))
(-.f64 #s(approx (- b a) a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (- b a) a))
(+.f64 #s(approx (- b a) a) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) a)
(*.f64 #s(literal -1 binary64) a)
(.f64 (.f64 a a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 a #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 a #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 a #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (*.f64 a a) (-.f64 a #s(literal 0 binary64)))
(/.f64 (*.f64 a a) a)
(/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(neg.f64 a)
(fma.f64 #s(literal 1 binary64) a #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) a #s(literal 0 binary64))
(fma.f64 (*.f64 a a) (pow.f64 a #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 a #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 #s(literal 0 binary64) a)
(+.f64 a #s(literal 0 binary64))
a

eval14.0ms (0.4%)

Memory: -4.1MiB live, 33.9MiB allocated
Compiler: Compiled 1 045 to 225 computations (78.5% saved)

prune9.0ms (0.3%)

Memory

-13.4MiB live, 24.1MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	133	2	135

Accuracy

100.0%

Counts

135 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
▶	50.3%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify6.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- b a) a)
cost-diff	0	(fabs.f64 #s(approx (- b a) a))
cost-diff	0	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (1%)

Memory

-13.4MiB live, 43.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 #s(approx (- b a) a))
accuracy	62.5837540088888	#s(approx (- b a) a)

Samples

27.0ms

256×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (21.5% of total)

ival-fabs: 1.0ms (21.5% of total)

ival-mult: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt (*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())

#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())

#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify118.0ms (3.6%)

Memory

6.2MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite128.0ms (3.9%)

Memory

-3.7MiB live, 144.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	9	19
1	27	19
2	148	19
3	1375	19
0	9694	19

Stop Event

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

Counts

3 → 30

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) a)))
(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- b a) a)))
(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)))) (fabs.f64 #s(approx (- b a) a)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) #s(literal 0 binary64))))
(fabs.f64 (-.f64 (neg.f64 #s(approx (- b a) a)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- b a) a)))
(fabs.f64 #s(approx (- b a) a))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- b a) a)))
(*.f64 #s(literal 1 binary64) #s(approx (- b a) a))
(*.f64 (neg.f64 #s(approx (- b a) a)) #s(literal -1 binary64))
(*.f64 #s(approx (- b a) a) #s(literal 1 binary64))
#s(approx (- b a) a)
(/.f64 (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (- b a) a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (- b a) a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- b a) a))))))
(/.f64 (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (- b a) a) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64)))) #s(approx (- b a) a))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 3 binary64)))) (fma.f64 #s(approx (- b a) a) #s(approx (- b a) a) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(approx (- b a) a) #s(literal 2 binary64))) (neg.f64 #s(approx (- b a) a)))
(neg.f64 (neg.f64 #s(approx (- b a) a)))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- b a) a)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (- b a) a) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(approx (- b a) a)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(approx (- b a) a) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- b a) a)))
(-.f64 #s(approx (- b a) a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (- b a) a))
(+.f64 #s(approx (- b a) a) #s(literal 0 binary64))

eval11.0ms (0.3%)

Memory: -13.4MiB live, 22.6MiB allocated
Compiler: Compiled 770 to 121 computations (84.3% saved)

prune5.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Accuracy

100.0%

Counts

101 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
✓	50.3%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes28.0ms (0.9%)

Memory

0.2MiB live, 47.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	b
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(-.f64 a b)
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	a

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.3%)

Memory

-14.5MiB live, 20.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	b
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	(-.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
50.3%	1	`a`
50.3%	1	`b`
50.3%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
50.3%	1	`(fabs.f64 (-.f64 a b))`
50.3%	1	`(-.f64 a b)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify21.0ms (0.6%)

Memory

12.8MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	23	14
3	28	14
4	31	14
5	32	14

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness423.0ms (12.9%)

Memory

-13.8MiB live, 286.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	303
0	6	13
0	9	13
1	38	13
2	204	13
3	1796	13
0	8632	13
0	8	24
0	11	24
1	32	24
2	163	24
3	1576	20
0	9747	20

Stop Event

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

Compiler

Compiled 46 to 42 computations (8.7% saved)

preprocess55.0ms (1.7%)

Memory: -19.6MiB live, 56.9MiB allocated
Remove: (sort a b)
Compiler: Compiled 58 to 54 computations (6.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

start0.0ms (0%)

analyze0.0ms (0%)

sample742.0ms (22.6%)

explain62.0ms (1.9%)

preprocess23.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize19.0ms (0.6%)

series7.0ms (0.2%)

simplify235.0ms (7.2%)

rewrite229.0ms (7%)

eval48.0ms (1.4%)

prune54.0ms (1.6%)

simplify35.0ms (1.1%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

simplify270.0ms (8.2%)

rewrite267.0ms (8.1%)

eval53.0ms (1.6%)

prune77.0ms (2.3%)

simplify6.0ms (0.2%)

localize20.0ms (0.6%)

series3.0ms (0.1%)

simplify133.0ms (4%)

rewrite115.0ms (3.5%)

eval14.0ms (0.4%)

prune9.0ms (0.3%)

simplify6.0ms (0.2%)

localize32.0ms (1%)

series3.0ms (0.1%)

simplify118.0ms (3.6%)

rewrite128.0ms (3.9%)

eval11.0ms (0.3%)

prune5.0ms (0.2%)

regimes28.0ms (0.9%)

regimes11.0ms (0.3%)

simplify21.0ms (0.6%)

soundness423.0ms (12.9%)

preprocess55.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21