Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze52.0ms (1.2%)

Memory

-39.2MiB live, 16.9MiB allocated; 41ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	62.5%	0%	18.7%	0%	2
0%	0%	9.4%	62.5%	0%	28.1%	0%	3
0%	0%	9.4%	62.5%	0%	28.1%	0%	4
0%	0%	7%	62.5%	0%	30.4%	0%	5
20%	1.2%	4.7%	62.5%	0%	31.6%	0%	6
25%	1.2%	3.5%	62.5%	0%	32.8%	0%	7
40%	1.8%	2.6%	62.5%	0%	33.1%	0%	8
51.9%	2%	1.9%	62.5%	0%	33.5%	0%	9
64.7%	2.4%	1.3%	62.5%	0%	33.7%	0%	10
72.9%	2.6%	1%	62.5%	0%	33.9%	0%	11
80.2%	2.7%	0.7%	62.5%	0%	34%	0%	12

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.2s (26.8%)

Memory

53.8MiB live, 750.4MiB allocated; 129ms collecting garbage

Samples

740.0ms	8 256×	0	valid
71.0ms	803×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 584.0ms

ival-mult: 210.0ms (36% of total)

ival-<=: 113.0ms (19.3% of total)

ival-fabs: 86.0ms (14.7% of total)

ival-sqrt: 54.0ms (9.2% of total)

ival-div: 50.0ms (8.6% of total)

ival-sub: 37.0ms (6.3% of total)

ival-and: 18.0ms (3.1% of total)

exact: 10.0ms (1.7% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain129.0ms (2.9%)

Memory

-43.4MiB live, 152.5MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
57	-	1	(1.7569360099860037e-158 1.2905355170528737e-161)	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	0	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`	u/u	56	0
↳	`(*.f64 b b)`	underflow	178
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	56
↳	`(*.f64 a a)`	underflow	56
↳	`(*.f64 a a)`	underflow	56

Confusion

	Predicted +	Predicted -
+	56	1
-	0	199

Precision

1.0

Recall

0.9824561403508771

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	1
-	0	0	199

Precision?

1.0

Recall?

0.9824561403508771

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.8% of total)

ival-div: 3.0ms (16.6% of total)

ival-sqrt: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11.1% of total)

ival-fabs: 2.0ms (11.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess161.0ms (3.6%)

Memory

13.8MiB live, 156.5MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	88	57
2	586	57
3	3099	57
0	8	13
0	14	13
1	37	11
2	204	11
3	1434	11
0	8739	10

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify100.0ms (2.3%)

Memory

16.9MiB live, 129.3MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
cost-diff	1	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
cost-diff	2	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	37	45
2	204	45
3	1434	45
0	8739	43

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

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

localize24.0ms (0.6%)

Memory

-2.9MiB live, 43.5MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	0.015625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	13.686128690977888	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

18.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-div: 4.0ms (36.1% of total)

ival-mult: 3.0ms (27.1% of total)

ival-sqrt: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9% of total)

ival-fabs: 1.0ms (9% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-35.8MiB live, 11.1MiB allocated; 5ms collecting garbage

Counts

4 → 13

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(-.f64 (.f64 a a) (.f64 b b))

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

Calls

6 calls:

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

simplify121.0ms (2.7%)

Memory

8.1MiB live, 146.5MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite79.0ms (1.8%)

Memory

-1.5MiB live, 91.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	42
1	60	36
2	560	26
0	9127	25

Stop Event

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

Counts

4 → 403

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(-.f64 (.f64 a a) (.f64 b b))

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

eval60.0ms (1.4%)

Memory: 8.8MiB live, 61.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 154 to 1 251 computations (79.7% saved)

prune6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	284	5	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	285	5	290

Accuracy

100.0%

Counts

290 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (.f64 a a))))
▶	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
▶	77.1%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	96.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 164 to 108 computations (34.1% saved)

simplify94.0ms (2.1%)

Memory

-12.7MiB live, 120.6MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	298
0	62	292
1	127	274
2	443	270
3	2742	270
0	8362	270

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (2.2%)

Memory

5.6MiB live, 155.1MiB allocated; 9ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
accuracy	0.01953125	(/.f64 (+.f64 b a) a)
accuracy	0.046875	(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
accuracy	0.05859375	(/.f64 (-.f64 a b) a)
accuracy	0.0	(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
accuracy	0.23113251953688405	(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
accuracy	14.309417049241015	(/.f64 (+.f64 b a) (*.f64 a a))
accuracy	0.0	(fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (.f64 a a))))
accuracy	13.686128690977888	(/.f64 #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (.f64 a a))
accuracy	46.392871098650936	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	2.290338590090239	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.30859375	(/.f64 (/.f64 b a) a)

Samples

69.0ms

256×

valid

Compiler

Compiled 256 to 30 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 9.0ms (26.8% of total)

ival-mult: 9.0ms (26.8% of total)

ival-fabs: 4.0ms (11.9% of total)

ival-sqrt: 4.0ms (11.9% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory

-9.1MiB live, 36.1MiB allocated; 4ms collecting garbage

Counts

22 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (* (/ (- a b) a) (/ (+ b a) a)) (fabs (* (/ (- a b) a) (/ (+ b a) a))) (sqrt (fabs (* (/ (- a b) a) (/ (+ b a) a)))) (/ (- a b) a) (/ (/ b a) a) (/ (+ b a) (* a a)) (/ (+ b a) a))
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (* (/ (- a b) a) (/ (+ b a) a)) (fabs (* (/ (- a b) a) (/ (+ b a) a))) (sqrt (fabs (* (/ (- a b) a) (/ (+ b a) a)))) (/ (- a b) a) (/ (/ b a) a) (/ (+ b a) (* a a)) (/ (+ b a) a))
3.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (* (/ (- a b) a) (/ (+ b a) a)) (fabs (* (/ (- a b) a) (/ (+ b a) a))) (sqrt (fabs (* (/ (- a b) a) (/ (+ b a) a)))) (/ (- a b) a) (/ (/ b a) a) (/ (+ b a) (* a a)) (/ (+ b a) a))
3.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (* (/ (- a b) a) (/ (+ b a) a)) (fabs (* (/ (- a b) a) (/ (+ b a) a))) (sqrt (fabs (* (/ (- a b) a) (/ (+ b a) a)))) (/ (- a b) a) (/ (/ b a) a) (/ (+ b a) (* a a)) (/ (+ b a) a))
2.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (* (/ (- a b) a) (/ (+ b a) a)) (fabs (* (/ (- a b) a) (/ (+ b a) a))) (sqrt (fabs (* (/ (- a b) a) (/ (+ b a) a)))) (/ (- a b) a) (/ (/ b a) a) (/ (+ b a) (* a a)) (/ (+ b a) a))

simplify324.0ms (7.3%)

Memory

20.9MiB live, 277.2MiB allocated; 154ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	413
1	323	378
2	1117	378
3	5904	378
0	8282	367

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

rewrite216.0ms (4.9%)

Memory

32.0MiB live, 219.6MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	264
0	62	259
1	204	236
2	1523	195
0	8961	195

Stop Event

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

Counts

22 → 1 585

Calls

Call 1

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

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

eval108.0ms (2.4%)

Memory: -8.4MiB live, 174.2MiB allocated; 29ms collecting garbage
Compiler: Compiled 20 870 to 3 393 computations (83.7% saved)

prune21.0ms (0.5%)

Memory

5.6MiB live, 50.4MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	787	4	791
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	790	6	796

Accuracy

100.0%

Counts

796 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
▶	4.8%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	78.8%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
▶	96.5%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 101 to 66 computations (34.7% saved)

simplify167.0ms (3.8%)

Memory

5.6MiB live, 157.9MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	209
0	47	209
1	89	201
2	329	197
3	2136	197
0	8814	197

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.8%)

Memory

1.0MiB live, 94.6MiB allocated; 4ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 b a) (-.f64 b a))
accuracy	0.0	(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
accuracy	0.03125	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
accuracy	14.105426780484656	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
accuracy	0.0	(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
accuracy	0.03125	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) a)
accuracy	14.105426780484656	(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
accuracy	46.392871098650936	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	14.418972653177004	(/.f64 b (*.f64 a a))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
accuracy	2.290338590090239	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 169 to 27 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 25.0ms (49.2% of total)

ival-mult: 8.0ms (15.7% of total)

ival-div: 6.0ms (11.8% of total)

ival-fabs: 4.0ms (7.9% of total)

ival-sqrt: 4.0ms (7.9% of total)

ival-sub: 2.0ms (3.9% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

15 → 40

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) a) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
3.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) a) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
3.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) a) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
2.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) a) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
2.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) a) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))

simplify151.0ms (3.4%)

Memory

-13.6MiB live, 127.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	367
1	337	319
2	1282	309
3	6845	309
0	8925	304

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite160.0ms (3.6%)

Memory

-13.6MiB live, 131.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	47	183
1	154	175
2	1076	132
0	8904	132

Stop Event

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

Counts

15 → 769

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(.f64 (neg.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sin.f64 (acos.f64 (/.f64 b a)))) (neg.f64 (sin.f64 (acos.f64 (/.f64 b a)))))
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(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (.f64 (fma.f64 b b (.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 b a))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (fma.f64 b b (.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 b a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (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 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 a) a)) (sqrt.f64 (.f64 (neg.f64 a) a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 a) a)) (sqrt.f64 (.f64 (neg.f64 a) a)) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) b (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fma.f64 (-.f64 b a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a)))) (.f64 (-.f64 b a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (-.f64 b a))))))
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(fma.f64 (-.f64 b a) a (*.f64 (-.f64 b a) b))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 b (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 b (-.f64 b a) (*.f64 a (-.f64 b a)))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(fma.f64 a (-.f64 b a) (*.f64 b (-.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (neg.f64 (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)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(-.f64 (.f64 b (-.f64 b a)) (.f64 (neg.f64 a) (-.f64 b a)))
(-.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) a))
(-.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.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 (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 (.f64 a (-.f64 b a)) (.f64 (neg.f64 b) (-.f64 b a)))
(-.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(-.f64 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fabs.f64 (-.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 (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))))))
(fabs.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 b a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a))))) (.f64 (-.f64 b a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a))))))
(+.f64 (neg.f64 (.f64 b (-.f64 b a))) (neg.f64 (.f64 a (-.f64 b a))))
(+.f64 (neg.f64 (.f64 (-.f64 b a) b)) (neg.f64 (.f64 (-.f64 b a) a)))
(+.f64 (neg.f64 (.f64 (-.f64 b a) a)) (neg.f64 (.f64 (-.f64 b a) b)))
(+.f64 (neg.f64 (.f64 a (-.f64 b a))) (neg.f64 (.f64 b (-.f64 b a))))
(+.f64 (.f64 b (-.f64 b a)) (.f64 a (-.f64 b a)))
(+.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) a))
(+.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) b))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(+.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 (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 (.f64 a (-.f64 b a)) (.f64 b (-.f64 b a)))
(+.f64 (.f64 (neg.f64 a) a) (.f64 b b))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 b b) (.f64 (neg.f64 a) a))
(+.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(fabs.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(fabs.f64 (/.f64 b (*.f64 a a)))

eval48.0ms (1.1%)

Memory: 32.2MiB live, 77.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 12 114 to 1 777 computations (85.3% saved)

prune10.0ms (0.2%)

Memory

-16.7MiB live, 29.0MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	463	2	465
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	464	7	471

Accuracy

100.0%

Counts

471 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
▶	76.0%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
▶	4.8%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	78.8%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
✓	96.5%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 115 to 75 computations (34.8% saved)

simplify69.0ms (1.6%)

Memory

1.8MiB live, 57.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 a a))
cost-diff	0	(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
cost-diff	0	#s(approx (* (+ b a) (- b a)) (*.f64 b b))
cost-diff	0	(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	111
0	25	111
1	45	111
2	148	111
3	394	111
4	836	111
5	1776	111
6	2847	111
7	3497	111
8	3585	111
9	3585	111
10	3789	111
0	3789	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 b b))
(*.f64 b b)
b
a
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a

Outputs
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 b b))
(*.f64 b b)
b
a
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a

localize38.0ms (0.9%)

Memory

8.1MiB live, 54.4MiB allocated; 2ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
accuracy	0.03125	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
accuracy	0.8950096237888513	#s(approx (- (* a a) (* b b)) (*.f64 a a))
accuracy	14.105426780484656	(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
accuracy	0.0	(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
accuracy	0.03125	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
accuracy	14.105426780484656	(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
accuracy	46.392871098650936	#s(approx (* (+ b a) (- b a)) (*.f64 b b))

Samples

29.0ms

256×

valid

Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (31% of total)

ival-mult: 4.0ms (20.7% of total)

ival-sqrt: 3.0ms (15.5% of total)

ival-add: 2.0ms (10.3% of total)

ival-fabs: 2.0ms (10.3% of total)

ival-sub: 2.0ms (10.3% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.2%)

Memory

-35.1MiB live, 11.3MiB allocated; 2ms collecting garbage

Counts

8 → 31

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 b b))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

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

Calls

6 calls:

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

simplify176.0ms (4%)

Memory

38.7MiB live, 134.3MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	303
1	311	260
2	1216	250
3	6010	250
0	8338	247

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite84.0ms (1.9%)

Memory

-28.3MiB live, 63.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	102
0	25	100
1	86	100
2	617	96
0	9794	88

Stop Event

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

Counts

8 → 90

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))))
(fabs.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 b b))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))) a)
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

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

eval9.0ms (0.2%)

Memory: 14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 666 to 278 computations (83.3% saved)

prune6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	79	7	86

Accuracy

100.0%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
	4.8%	(/.f64 (sqrt.f64 #s(approx (* (+ b a) (- b a)) (*.f64 b b))) a)
	76.0%	(/.f64 (sqrt.f64 #s(approx (* (+ b a) (- b a)) (*.f64 a a))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	78.8%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
✓	96.5%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 331 to 145 computations (56.2% saved)

regimes25.0ms (0.6%)

Memory

-13.5MiB live, 33.4MiB allocated; 1ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	b
4.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
4.0ms	a
3.0ms	(*.f64 a a)
3.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 b b)`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
100.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
100.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes49.0ms (1.1%)

Memory

-19.6MiB live, 35.4MiB allocated; 3ms collecting garbage

Accuracy

Total -59.2b remaining (-2671.2%)

Threshold costs -59.2b (-2671.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	(*.f64 b b)
3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
96.5%	1	`(*.f64 b b)`
96.5%	1	`(*.f64 a a)`
96.5%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
96.5%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
96.5%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
96.5%	1	`a`
96.5%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify54.0ms (1.2%)

Memory

-1.5MiB live, 44.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	44	34
2	216	34
3	1452	34

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations421.0ms (9.5%)

Memory

100.4MiB live, 195.4MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101
0	36	264
0	62	259
1	204	236
2	1523	195
0	8961	195

Stop Event

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

Compiler

Compiled 38 to 17 computations (55.3% saved)

preprocess53.0ms (1.2%)

Memory

-13.7MiB live, 32.7MiB allocated; 3ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 194 to 106 computations (45.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze52.0ms (1.2%)

sample1.2s (26.8%)

explain129.0ms (2.9%)

preprocess161.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify100.0ms (2.3%)

localize24.0ms (0.6%)

series7.0ms (0.2%)

simplify121.0ms (2.7%)

rewrite79.0ms (1.8%)

eval60.0ms (1.4%)

prune6.0ms (0.1%)

simplify94.0ms (2.1%)

localize97.0ms (2.2%)

series22.0ms (0.5%)

simplify324.0ms (7.3%)

rewrite216.0ms (4.9%)

eval108.0ms (2.4%)

prune21.0ms (0.5%)

simplify167.0ms (3.8%)

localize80.0ms (1.8%)

series17.0ms (0.4%)

simplify151.0ms (3.4%)

rewrite160.0ms (3.6%)

eval48.0ms (1.1%)

prune10.0ms (0.2%)

simplify69.0ms (1.6%)

localize38.0ms (0.9%)

series8.0ms (0.2%)

simplify176.0ms (4%)

rewrite84.0ms (1.9%)

eval9.0ms (0.2%)

prune6.0ms (0.1%)

regimes25.0ms (0.6%)

regimes49.0ms (1.1%)

simplify54.0ms (1.2%)

derivations421.0ms (9.5%)

preprocess53.0ms (1.2%)

end0.0ms (0%)

Profiling