Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.4%)

Memory

-11.2MiB live, 25.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.6s (29.5%)

Memory

13.8MiB live, 1 201.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 698.0ms

const: 347.0ms (49.7% of total)

ival-add: 136.0ms (19.5% of total)

ival-<=: 128.0ms (18.3% of total)

ival-mult: 48.0ms (6.9% of total)

ival-and: 22.0ms (3.2% of total)

exact: 13.0ms (1.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain48.0ms (0.9%)

Memory

-0.0MiB live, 77.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-add: 3.0ms (47.3% of total)

ival-mult: 3.0ms (47.3% of total)

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

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

preprocess215.0ms (4.1%)

Memory

44.1MiB live, 237.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	63	35
2	302	35
3	958	35
4	3626	32
5	6577	32
0	4	7
0	6	7
1	18	7
2	59	7
3	267	7
4	1698	6
5	3929	6
6	7358	6
0	8458	6

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)))

Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune13.0ms (0.3%)

Memory

-49.2MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify237.0ms (4.5%)

Memory

-6.4MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 a b)
cost-diff	1	(*.f64 (+.f64 a b) (+.f64 a b))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	18	12
2	59	12
3	267	12
4	1698	11
5	3929	11
6	7358	11
0	8458	11

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)))
(+.f64 a b)
(+.f64 b a)
a
b

localize25.0ms (0.5%)

Memory

-25.7MiB live, 13.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 a b)
accuracy	0.01953125	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

8.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (33.4% of total)

ival-mult: 1.0ms (33.4% of total)

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

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

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	0	((* (+ a b) (+ a b)) (+ a b))

simplify198.0ms (3.7%)

Memory

31.7MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	221	125
2	739	125
3	3320	117
0	8728	101

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite230.0ms (4.3%)

Memory

-13.4MiB live, 106.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	33	8
2	275	8
3	4181	8
0	9407	8

Stop Event

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

Counts

2 → 606

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)

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

eval176.0ms (3.3%)

Memory: 28.1MiB live, 182.4MiB allocated
Compiler: Compiled 16 578 to 1 500 computations (91% saved)

prune22.0ms (0.4%)

Memory

-31.1MiB live, 51.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	809	4	813
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	809	5	814

Accuracy

100.0%

Counts

814 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
▶	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 60 to 33 computations (45% saved)

simplify189.0ms (3.6%)

Memory

9.8MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) a)
cost-diff	0	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
cost-diff	1	(fma.f64 b a (*.f64 (-.f64 b a) a))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 #s(literal 2 binary64) b a)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
cost-diff	3	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	107
0	30	105
1	73	105
2	209	101
3	696	101
4	2779	96
5	4822	96
6	7492	96
0	8108	96

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(fma.f64 #s(literal 2 binary64) b a)
#s(literal 2 binary64)
b
a
(*.f64 b b)
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
b
(fma.f64 b a (*.f64 (-.f64 b a) a))
a
(*.f64 (-.f64 b a) a)
(-.f64 b a)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) b a)
#s(literal 2 binary64)
b
a
(*.f64 b b)
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a (*.f64 b b))
b
(fma.f64 b a (*.f64 (-.f64 b a) a))
(*.f64 (fma.f64 #s(literal -2 binary64) b a) (neg.f64 a))
a
(*.f64 (-.f64 b a) a)
(-.f64 b a)

localize48.0ms (0.9%)

Memory

8.9MiB live, 84.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
accuracy	0.0	(-.f64 b a)
accuracy	0.00390625	(*.f64 (-.f64 b a) a)
accuracy	0.0078125	(fma.f64 b a (*.f64 (-.f64 b a) a))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) b a)
accuracy	0.0	(*.f64 b b)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0234375	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.2554576009561926	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.9304907932921439	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

33.0ms

256×

valid

Compiler

Compiled 203 to 37 computations (81.8% saved)

Precisions

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

ival-mult: 11.0ms (59.6% of total)

ival-add: 6.0ms (32.5% of total)

ival-sub: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

12 → 55

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 b a (*.f64 (-.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
(*.f64 (-.f64 b a) a)
(-.f64 b a)

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

Calls

6 calls:

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

simplify292.0ms (5.5%)

Memory

-5.6MiB live, 199.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	356
1	442	345
2	1564	345
3	5819	337
0	8869	302

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

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

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

rewrite254.0ms (4.8%)

Memory

-21.9MiB live, 209.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	30	87
1	148	87
2	1394	87
0	8154	87

Stop Event

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

Counts

12 → 657

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 b a (*.f64 (-.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
(*.f64 (-.f64 b a) a)
(-.f64 b a)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))))
(.f64 (sqrt.f64 (.f64 (neg.f64 b) b)) (sqrt.f64 (*.f64 (neg.f64 b) b)))
(*.f64 (sqrt.f64 (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 b))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (pow.f64 b #s(literal 3 binary64))))
(*.f64 (sqrt.f64 b) (sqrt.f64 (pow.f64 b #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (neg.f64 b) b)) b) (pow.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (.f64 b (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (neg.f64 b) b))) (pow.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) #s(literal -1 binary64)))
(.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)) (.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b)) b)) (neg.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b)))) (neg.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b))))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b)) b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (.f64 b (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))
(/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) (.f64 b (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (.f64 (.f64 #s(literal 2 binary64) a) b))
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(+.f64 (/.f64 (.f64 b b) (+.f64 b a)) (/.f64 (.f64 (neg.f64 a) a) (+.f64 b a)))
(+.f64 (/.f64 (.f64 b b) (+.f64 b a)) (/.f64 (neg.f64 (.f64 a a)) (+.f64 b a)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) a (.f64 b b))) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (+.f64 b a) a (.f64 b b))))
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))

eval146.0ms (2.7%)

Memory: 4.7MiB live, 205.9MiB allocated
Compiler: Compiled 22 607 to 2 444 computations (89.2% saved)

prune13.0ms (0.2%)

Memory

-10.7MiB live, 37.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	695	1	696
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	696	5	701

Accuracy

100.0%

Counts

701 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify202.0ms (3.8%)

Memory

14.8MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	15	40
1	36	40
2	101	40
3	280	40
4	831	40
5	1583	40
6	2095	40
7	3574	40
8	4160	40
9	4857	40
10	5248	40
11	5623	40
12	6166	40
13	6425	40
14	7083	40
15	7505	40
0	8071	40

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
b
#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
a
#s(literal 2 binary64)

Outputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))
b
#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
#s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 a b))
(*.f64 b a)
(*.f64 a b)
a
#s(literal 2 binary64)

localize22.0ms (0.4%)

Memory

24.3MiB live, 24.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
accuracy	0.0	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0.0	(*.f64 b a)
accuracy	0.8472321427745985	#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 79 to 23 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.2% of total)

ival-add: 2.0ms (21.4% of total)

ival-sub: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (1.1%)

Memory

-22.8MiB live, 22.9MiB allocated

Counts

4 → 17

Calls

Call 1

Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(*.f64 b a)

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

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	b	@	inf	((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a))
1.0ms	b	@	-inf	((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a))
1.0ms	a	@	-inf	((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a))
1.0ms	a	@	0	((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a))
1.0ms	a	@	inf	((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a))

simplify156.0ms (2.9%)

Memory

20.8MiB live, 212.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	178
1	195	170
2	702	154
3	2919	150
0	8137	141

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite233.0ms (4.4%)

Memory

1.2MiB live, 197.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	37
1	72	37
2	590	37
3	7575	37
0	8388	37

Stop Event

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

Counts

4 → 115

Calls

Call 1

Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(*.f64 b a)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)))) (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))))
(.f64 (-.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (*.f64 b b))))
(.f64 (pow.f64 (-.f64 (.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 b b #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))))
(.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (fma.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) (.f64 (fma.f64 b b #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (pow.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 b b #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (/.f64 (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(.f64 (fma.f64 b b #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (.f64 (-.f64 (.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) (pow.f64 (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal -1 binary64))) (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 9 binary64)) (pow.f64 b #s(literal 18 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 12 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))))
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(fma.f64 (.f64 b b) (/.f64 (.f64 b b) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(fma.f64 (.f64 b b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (-.f64 #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))))))
(fma.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (*.f64 (neg.f64 b) b))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (.f64 b b)) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(literal 2 binary64))) (-.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))))
(+.f64 (.f64 b b) #s(approx (+ ( b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))))
(+.f64 #s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b))) (*.f64 b b))
#s(approx (+ (* b a) (* (- b a) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(.f64 (.f64 #s(literal 2 binary64) b) a)
(.f64 (.f64 #s(literal 2 binary64) a) b)
(.f64 #s(literal 2 binary64) (.f64 a b))
(.f64 (.f64 a b) #s(literal 2 binary64))
(.f64 a (.f64 #s(literal 2 binary64) b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (-.f64 (.f64 a b) (.f64 a b)))
(/.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 (.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(fma.f64 a b (*.f64 a b))
(fma.f64 b a (*.f64 a b))
(-.f64 (.f64 a b) (.f64 (neg.f64 a) b))
(+.f64 (.f64 a b) (.f64 a b))
(*.f64 a b)
(*.f64 b a)

eval17.0ms (0.3%)

Memory: 1.4MiB live, 37.7MiB allocated
Compiler: Compiled 8 309 to 344 computations (95.9% saved)

prune4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	127	5	132

Accuracy

100.0%

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 145 to 65 computations (55.2% saved)

regimes26.0ms (0.5%)

Memory

-32.8MiB live, 16.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))

Calls

4 calls:

18.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
2.0ms	(+.f64 a b)
2.0ms	a

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b
2.0ms	a

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes17.0ms (0.3%)

Memory

-24.6MiB live, 12.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Calls

4 calls:

12.0ms	a
1.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.6%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Calls

4 calls:

1.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`
98.5%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.5%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify50.0ms (0.9%)

Memory

7.8MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	29	49
2	71	49
3	283	49
4	1764	49
5	4384	49

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

soundness708.0ms (13.3%)

Memory

-6.4MiB live, 185.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	221	125
2	739	125
3	3320	117
0	8728	101

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 52 to 20 computations (61.5% saved)

preprocess98.0ms (1.8%)

Memory: 11.8MiB live, 123.0MiB allocated
Compiler: Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze19.0ms (0.4%)

sample1.6s (29.5%)

explain48.0ms (0.9%)

preprocess215.0ms (4.1%)

eval0.0ms (0%)

prune13.0ms (0.3%)

simplify237.0ms (4.5%)

localize25.0ms (0.5%)

series2.0ms (0%)

simplify198.0ms (3.7%)

rewrite230.0ms (4.3%)

eval176.0ms (3.3%)

prune22.0ms (0.4%)

simplify189.0ms (3.6%)

localize48.0ms (0.9%)

series11.0ms (0.2%)

simplify292.0ms (5.5%)

rewrite254.0ms (4.8%)

eval146.0ms (2.7%)

prune13.0ms (0.2%)

simplify202.0ms (3.8%)

localize22.0ms (0.4%)

series58.0ms (1.1%)

simplify156.0ms (2.9%)

rewrite233.0ms (4.4%)

eval17.0ms (0.3%)

prune4.0ms (0.1%)

regimes26.0ms (0.5%)

regimes8.0ms (0.2%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

simplify50.0ms (0.9%)

soundness708.0ms (13.3%)

preprocess98.0ms (1.8%)

end0.0ms (0%)

Profiling