Metrics for Difference of squares

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample583.0ms (16.3%)

Results

402.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 146.0ms (73.4% of total)

ival-sub: 44.0ms (22.1% of total)

const: 7.0ms (3.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess212.0ms (5.9%)

Algorithm

2×	egg-herbie

Rules

2632×	`sum4-define`
2434×	`sum3-define`
1966×	`fmsub-define`
1962×	`fnmsub-define`
1952×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	63	36
2	189	36
3	525	36
4	1483	36
5	3952	36
6	6151	36
0	5	6
1	15	6
2	27	6
3	57	6
4	137	6
5	563	6
6	2334	6
7	4127	6
8	7863	6
0	8046	6

Stop Event

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

Calls

Call 1

Inputs
(- (* a a) (* b b))

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

Call 2

Inputs
(- (* a a) (* b b))
(- (* (neg a) (neg a)) (* b b))
(- (* a a) (* (neg b) (neg b)))
(neg (- (* (neg a) (neg a)) (* b b)))
(neg (- (* a a) (* (neg b) (neg b))))
(- (* b b) (* a a))

Outputs
(- (* a a) (* b b))
(fmsub a a (* b b))
(- (* (neg a) (neg a)) (* b b))
(fmsub a a (* b b))
(- (* a a) (* (neg b) (neg b)))
(fmsub a a (* b b))
(neg (- (* (neg a) (neg a)) (* b b)))
(fmsub b b (* a a))
(neg (- (* a a) (* (neg b) (neg b))))
(fmsub b b (* a a))
(- (* b b) (* a a))
(fmsub b b (* a a))

Symmetry

(abs a)

(abs b)

explain50.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 b b)`
0	-	-	`b`
0	-	-	`a`
0	-	-	`(*.f64 a a)`

Results

28.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 8.0ms (71.2% of total)

ival-sub: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify111.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 b b)
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(-.f64 (.f64 a a) (.f64 b b))

Rules

2632×	`sum4-define`
1446×	`sum3-define`
1442×	`fmsub-define`
1390×	`fma-define`
1298×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	15	14
2	27	14
3	57	14
4	137	14
5	563	14
6	2334	14
7	4127	14
8	7863	14
0	8046	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* a a) (* b b))
(* a a)
a
(* b b)
b

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

localize48.0ms (1.3%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	96.2%	(-.f64 (.f64 a a) (.f64 b b))

Results

36.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 23.0ms (84.7% of total)

ival-mult: 4.0ms (14.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (- (* a a) (* b b))>
#<alt (* a a)>
#<alt (* b b)>

Outputs
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>

Calls

12 calls:

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

rewrite333.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
1848×	`sum3-define`
1554×	`fma-lowering-fma.f32`
1554×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	33	12
2	251	12
3	3241	12
0	8543	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 224

Calls

Call 1

Inputs
(- (* a a) (* b b))
(* a a)
(* b b)

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

simplify148.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2156×	`-lowering-.f32`
2156×	`-lowering-.f64`
1684×	`sum4-define`
1286×	`sum3-define`
1232×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	40	201
2	123	201
3	516	201
4	1905	201
5	3924	201
0	8187	201

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (.f64 a a) (.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (.f64 a a) (.f64 b b))
(- (pow a 2) (pow b 2))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (.f64 a a) (.f64 b b))
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (.f64 a a) (.f64 b b))
(+ (* -1 (pow b 2)) (pow a 2))
(-.f64 (.f64 a a) (.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)

eval29.0ms (0.8%)

Compiler: Compiled 9916 to 541 computations (94.5% saved)

prune29.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	269	3	272
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	269	4	273

Accuracy

100.0%

Counts

273 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 a a) (.f64 b b))
▶	53.5%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
▶	50.4%	(*.f64 a a)

Compiler

Compiled 30 to 18 computations (40% saved)

simplify135.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 b b)
✓	cost-diff	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(-.f64 a b)
✓	cost-diff	(*.f64 (-.f64 a b) (+.f64 a b))
✓	cost-diff	(*.f64 a a)

Rules

2370×	`sum3-define`
2040×	`sum4-define`
1084×	`--lowering--.f32`
1084×	`--lowering--.f64`
1050×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	23	28
2	52	28
3	141	28
4	388	28
5	1872	27
6	3742	27
7	7103	27
8	7872	27
0	8016	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* a a)
a
(* (- a b) (+ a b))
(- a b)
a
b
(+ a b)
(- 0 (* b b))
0
(* b b)
b

Outputs
(* a a)
(*.f64 a a)
a
(* (- a b) (+ a b))
(-.f64 (.f64 a a) (.f64 b b))
(- a b)
(-.f64 a b)
a
b
(+ a b)
(+.f64 a b)
(- 0 (* b b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
0
#s(literal 0 binary64)
(* b b)
(*.f64 b b)
b

localize76.0ms (2.1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(-.f64 a b)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	accuracy	100.0%	(*.f64 a a)

Results

44.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.5% of total)

backward-pass: 12.0ms (38.8% of total)

ival-sub: 3.0ms (9.7% of total)

ival-add: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (* a a)>
#<alt (* (- a b) (+ a b))>
#<alt (- a b)>
#<alt (+ a b)>
#<alt (- 0 (* b b))>
#<alt (* b b)>

Outputs
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (pow a 2)>
#<alt (+ (* b (+ a (* -1 a))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>

Calls

27 calls:

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

rewrite290.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
2818×	`/-lowering-/.f32`
2818×	`/-lowering-/.f64`
1990×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	53	22
2	485	22
3	6600	22
0	8144	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 506

Calls

Call 1

Inputs
(* a a)
(* (- a b) (+ a b))
(- a b)
(+ a b)
(- 0 (* b b))
(* b b)

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

simplify183.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1762×	`fnmsub-define`
1634×	`fmsub-define`
1524×	`-lowering-.f32`
1524×	`-lowering-.f64`
1454×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	429
1	285	357
2	975	357
3	4584	357
0	8853	357

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(-.f64 (.f64 a a) (.f64 b b))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(-.f64 (.f64 a a) (.f64 b b))
(pow a 2)
(*.f64 a a)
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(-.f64 (.f64 a a) (.f64 b b))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(-.f64 (.f64 a a) (.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(-.f64 (.f64 a a) (.f64 b b))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)

eval99.0ms (2.8%)

Compiler: Compiled 14609 to 1275 computations (91.3% saved)

prune68.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	613	1	614
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	614	4	618

Accuracy

100.0%

Counts

618 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 a a) (.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	50.4%	(*.f64 a a)
▶	53.5%	(neg.f64 (*.f64 b b))

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (*.f64 b b))
✓	cost-diff	0	(*.f64 b b)

Rules

40×	`sum3-define`
32×	`fma-define`
18×	`fma-lowering-fma.f32`
18×	`fma-lowering-fma.f64`
16×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
1	10	8
2	14	8
3	20	8
4	34	8
5	52	8
6	61	8
7	74	8
8	98	8
0	98	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (* b b))
(* b b)
b

Outputs
(neg (* b b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* b b)
(*.f64 b b)
b

localize35.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(neg.f64 (*.f64 b b))

Results

30.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50.4% of total)

ival-neg: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* b b)>
#<alt (neg (* b b))>

Outputs
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(* b b)
0.0ms	b	@	inf	(neg (* b b))
0.0ms	b	@	0	(neg (* b b))
0.0ms	b	@	-inf	(neg (* b b))
0.0ms	b	@	inf	(* b b)

rewrite92.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`-lowering-.f32`
668×	`-lowering-.f64`
646×	`/-lowering-/.f32`
646×	`/-lowering-/.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
1	12	7
2	36	7
3	210	7
0	2173	7

Stop Event

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

Counts

2 → 138

Calls

Call 1

Inputs
(* b b)
(neg (* b b))

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`sum3-define`
32×	`fma-define`
18×	`fma-lowering-fma.f32`
18×	`fma-lowering-fma.f64`
16×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	8	84
2	17	84
3	19	84
4	22	84
5	36	84
6	54	84
7	63	84
8	76	84
9	100	84
0	100	84

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))

Outputs
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (*.f64 b b))

eval16.0ms (0.5%)

Compiler: Compiled 2836 to 306 computations (89.2% saved)

prune20.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	162	4	166

Accuracy

100.0%

Counts

166 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(-.f64 (.f64 a a) (.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	50.4%	(*.f64 a a)
✓	53.5%	(neg.f64 (*.f64 b b))

Compiler

Compiled 57 to 28 computations (50.9% saved)

regimes13.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 a a)
(neg.f64 (*.f64 b b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 (.f64 a a) (.f64 b b))

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

Calls

5 calls:

4.0ms	(*.f64 b b)
2.0ms	b
2.0ms	a
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

regimes9.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 a a)
(neg.f64 (*.f64 b b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))

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

Calls

4 calls:

4.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
80.6%	2	`a`
80.0%	2	`b`
80.6%	2	`(*.f64 a a)`
80.0%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a a)

Outputs
(*.f64 a a)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.4%	1	`b`
50.4%	1	`a`
50.4%	1	`(*.f64 a a)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch7.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.3307418484326084e+192	4.660933335071673e+192

Results

4.0ms

64×

valid

Compiler

Compiled 58 to 41 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (106.7% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	21	23
2	26	23
3	29	23
4	30	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 a a) #s(literal 3399999999999999961776560933867423189804260043222303839881922789954475005472393666296099859067991283387318809583361917178336333305044201749534204843835975526739121658824985949142090223145975808 binary64)) (neg.f64 (*.f64 b b)) (*.f64 a a))

(*.f64 a a)

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 (.f64 a a) #s(literal 3399999999999999961776560933867423189804260043222303839881922789954475005472393666296099859067991283387318809583361917178336333305044201749534204843835975526739121658824985949142090223145975808 binary64)) (neg.f64 (.f64 b b)) (*.f64 a a))
(if (<=.f64 (.f64 a a) #s(literal 3399999999999999961776560933867423189804260043222303839881922789954475005472393666296099859067991283387318809583361917178336333305044201749534204843835975526739121658824985949142090223145975808 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b b)) (*.f64 a a))
(*.f64 a a)

soundness926.0ms (25.9%)

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2818×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	40	201
2	123	201
3	516	201
4	1905	201
5	3924	201
0	8187	201
0	9	23
1	53	22
2	485	22
3	6600	22
0	8144	22
0	5	12
1	33	12
2	251	12
3	3241	12
0	8543	12

Stop Event

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

Compiler

Compiled 58 to 32 computations (44.8% saved)

preprocess31.0ms (0.9%)

Remove

(abs b)

(abs a)

Compiler

Compiled 124 to 64 computations (48.4% saved)

Difference of squares

analyze0.0ms (0%)

sample583.0ms (16.3%)

preprocess212.0ms (5.9%)

explain50.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify111.0ms (3.1%)

localize48.0ms (1.3%)

series2.0ms (0.1%)

rewrite333.0ms (9.3%)

simplify148.0ms (4.1%)

eval29.0ms (0.8%)

prune29.0ms (0.8%)

simplify135.0ms (3.8%)

localize76.0ms (2.1%)

series3.0ms (0.1%)

rewrite290.0ms (8.1%)

simplify183.0ms (5.1%)

eval99.0ms (2.8%)

prune68.0ms (1.9%)

simplify6.0ms (0.2%)

localize35.0ms (1%)

series0.0ms (0%)

rewrite92.0ms (2.6%)

simplify9.0ms (0.2%)

eval16.0ms (0.5%)

prune20.0ms (0.5%)

regimes13.0ms (0.4%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch7.0ms (0.2%)

simplify8.0ms (0.2%)

soundness926.0ms (25.9%)

preprocess31.0ms (0.9%)

end0.0ms (0%)

Profiling