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)

sample745.0ms (16.1%)

Results

574.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 146.0ms (73.9% of total)

ival-sub: 41.0ms (20.7% of total)

const: 8.0ms (4% of total)

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

Bogosity

preprocess205.0ms (4.4%)

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	33
1	67	30
2	193	30
3	530	30
4	1491	30
5	3963	30
6	6129	30
0	5	5
1	17	5
2	29	5
3	59	5
4	137	5
5	565	5
6	2335	5
7	4114	5
8	7862	5
0	8049	5

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))
(fnmadd b b (square a))
(- (* (neg a) (neg a)) (* b b))
(fnmadd b b (square a))
(- (* a a) (* (neg b) (neg b)))
(fnmadd b b (square a))
(neg (- (* (neg a) (neg a)) (* b b)))
(fmsub b b (square a))
(neg (- (* a a) (* (neg b) (neg b))))
(fmsub b b (square a))
(- (* b b) (* a a))
(fmsub b b (square a))

Symmetry

(abs a)

(abs b)

explain99.0ms (2.1%)

FPErrors

Click to see full error table

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

Results

49.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 20.0ms (84.9% of total)

ival-sub: 2.0ms (8.5% of total)

const: 1.0ms (4.2% 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
▶	93.3%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify126.0ms (2.7%)

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`
1392×	`fma-define`
1298×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	17	11
2	29	11
3	59	11
4	137	11
5	565	11
6	2335	11
7	4114	11
8	7862	11
0	8049	11

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

localize28.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	93.9%	(-.f64 (.f64 a a) (.f64 b b))

Results

20.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (71.3% of total)

ival-sub: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

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))

rewrite362.0ms (7.8%)

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	9
1	35	9
2	255	9
3	3269	9
0	8662	9

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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 b) (.f64 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 (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b 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 b) (.f64 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 (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b 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 b) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.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 (.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 b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 b) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.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 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 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 b) (.f64 b (.f64 b (.f64 b b)))))))
(.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 b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 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))))))
(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)))

simplify150.0ms (3.2%)

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	153
2	125	153
3	522	153
4	1924	153
5	3950	153
0	8170	153

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)

eval55.0ms (1.2%)

Compiler: Compiled 9916 to 540 computations (94.6% saved)

prune39.0ms (0.9%)

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
✓	93.3%	(-.f64 (.f64 a a) (.f64 b b))
▶	49.7%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
▶	58.1%	(*.f64 a a)

Compiler

Compiled 30 to 18 computations (40% saved)

simplify150.0ms (3.3%)

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`
1050×	`fma-define`
1014×	`--lowering--.f32`
1014×	`--lowering--.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	25	25
2	52	25
3	139	25
4	389	24
5	1871	23
6	3737	23
7	7123	23
8	7911	23
0	8021	23

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

localize71.0ms (1.5%)

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

60.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 6.0ms (55.8% of total)

ival-sub: 3.0ms (27.9% of total)

ival-add: 1.0ms (9.3% of total)

const: 0.0ms (0% of total)

backward-pass: 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	b	@	inf	(* (- a b) (+ a b))
0.0ms	a	@	-inf	(* (- a b) (+ a b))
0.0ms	a	@	0	(* (- a b) (+ a b))
0.0ms	b	@	0	(* (- a b) (+ a b))

rewrite303.0ms (6.5%)

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	20
1	55	18
2	493	18
3	6625	18
0	8244	18

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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a (-.f64 a b))))
(+.f64 (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)) (.f64 b b)) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)) (.f64 b b))))
(+.f64 (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)))
(+.f64 (+.f64 (.f64 b (-.f64 a b)) (.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(+.f64 (+.f64 (.f64 a (-.f64 a b)) (.f64 a b)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 a a) (-.f64 (.f64 b b) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) 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 b (.f64 b (.f64 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 (-.f64 a b)) (.f64 a (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b))) (/.f64 (.f64 b (.f64 (-.f64 a 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 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 a b) (.f64 (-.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (-.f64 (.f64 a a) (*.f64 b 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 b (-.f64 a b)) (.f64 b (.f64 (-.f64 a b) (.f64 b (-.f64 a b))))) (.f64 (.f64 a (-.f64 a b)) (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))))) (+.f64 (.f64 (.f64 b (-.f64 a b)) (-.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))) (.f64 (.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))
(/.f64 (+.f64 (.f64 (.f64 b (-.f64 a b)) (.f64 b (.f64 (-.f64 a b) (.f64 b (-.f64 a b))))) (.f64 (.f64 a (-.f64 a b)) (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))))) (+.f64 (.f64 b (.f64 (-.f64 a b) (.f64 b (-.f64 a b)))) (-.f64 (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))) (.f64 (.f64 b (-.f64 a b)) (*.f64 a (-.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 b (.f64 b (.f64 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 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 a a) (.f64 b b)) (.f64 (-.f64 a b) (.f64 (-.f64 a b) (*.f64 (+.f64 a b) (+.f64 a 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 (.f64 b (-.f64 a b)) (-.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))) (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b)))) (+.f64 (.f64 (.f64 b (-.f64 a b)) (.f64 b (.f64 (-.f64 a b) (.f64 b (-.f64 a b))))) (.f64 (.f64 a (-.f64 a b)) (.f64 (.f64 a (-.f64 a b)) (*.f64 a (-.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 b (.f64 b (.f64 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 (.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 a b) (.f64 (-.f64 a b) (.f64 (+.f64 a b) (+.f64 a 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 (.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 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 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 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 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 b (.f64 b (.f64 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 b (.f64 b (.f64 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 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) 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 (+.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 (neg.f64 (-.f64 (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 a b))) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b 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 a b) (.f64 (-.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (.f64 (-.f64 a b) (-.f64 #s(literal 0 binary64) (+.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)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 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 (.f64 b (.f64 b b))))))) (.f64 (.f64 b (.f64 b b)) (.f64 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 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 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 (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 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 (.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 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 b (*.f64 b b)))
(/.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 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 #s(literal 0 binary64) (.f64 b (.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 b (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))
(*.f64 b (-.f64 #s(literal 0 binary64) b))
(.f64 (.f64 b b) #s(literal -1 binary64))
(.f64 (.f64 b (.f64 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 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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 b (-.f64 #s(literal 0 binary64) b))))
(*.f64 (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 #s(literal 0 binary64) b))) (.f64 b (.f64 b (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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 #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 b (-.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 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) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 b (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b b))))
(.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 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 b (.f64 b (.f64 b b)))) (.f64 b (-.f64 #s(literal 0 binary64) 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 b (-.f64 #s(literal 0 binary64) b)))
(-.f64 (*.f64 b b) #s(literal 0 binary64))
(fma.f64 b b #s(literal 0 binary64))
(neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b b))))
(/.f64 (.f64 (.f64 b b) (-.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 (.f64 b (.f64 b (.f64 b b))) (.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 b (-.f64 #s(literal 0 binary64) b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (.f64 b (.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 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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)))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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) 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 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (.f64 b b))
(/.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) b) (.f64 b (*.f64 b b)))
(/.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (*.f64 b b))
(/.f64 (/.f64 (.f64 b (.f64 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 (-.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 b (.f64 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 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 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (*.f64 b b)))))
(.f64 #s(literal -1 binary64) (.f64 b (-.f64 #s(literal 0 binary64) 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 b (.f64 b (.f64 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 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.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 b (-.f64 #s(literal 0 binary64) b)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 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 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b b))))

simplify208.0ms (4.5%)

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	297
2	977	297
3	4613	297
0	8881	297

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)

eval77.0ms (1.7%)

Compiler: Compiled 14609 to 1276 computations (91.3% saved)

prune103.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	612	2	614
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	613	5	618

Accuracy

100.0%

Counts

618 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(-.f64 (.f64 a a) (.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
▶	57.4%	(*.f64 (-.f64 a b) b)
✓	58.1%	(*.f64 a a)
▶	49.7%	(neg.f64 (*.f64 b b))

Compiler

Compiled 36 to 21 computations (41.7% saved)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

454×	`sum3-define`
432×	`sum5-define`
384×	`fnmadd-define`
294×	`fma-define`
258×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	16	16
2	25	16
3	48	16
4	91	16
5	191	16
6	290	16
7	594	16
8	1264	16
9	1462	16
10	1569	16
0	1569	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.7%)

Localize:

Found 4 expressions of interest:

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

Results

26.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.6% of total)

ival-sub: 1.0ms (12.1% of total)

ival-neg: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite303.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2384×	`/-lowering-/.f32`
2384×	`/-lowering-/.f64`
2246×	`-lowering-.f32`
2246×	`-lowering-.f64`
1916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	30	12
2	175	12
3	1771	12
0	10530	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 455

Calls

Call 1

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

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

simplify134.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1794×	`fmsub-define`
1720×	`fnmsub-define`
1528×	`fmm-def`
1506×	`-lowering-.f32`
1506×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	312
1	110	231
2	313	231
3	850	231
4	2691	231
5	5778	231
0	8177	231

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval71.0ms (1.5%)

Compiler: Compiled 16522 to 1280 computations (92.3% saved)

prune62.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	527	0	527
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	527	5	532

Accuracy

100.0%

Counts

532 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(-.f64 (.f64 a a) (.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	57.4%	(*.f64 (-.f64 a b) b)
✓	58.1%	(*.f64 a a)
✓	49.7%	(neg.f64 (*.f64 b b))

Compiler

Compiled 69 to 33 computations (52.2% saved)

regimes14.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 a a)
(neg.f64 (*.f64 b b))
(*.f64 (-.f64 a 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 (.f64 a a) (.f64 b b))
3.0ms	b
3.0ms	a
2.0ms	(*.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)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.9%	2	`a`
84.5%	2	`b`
81.9%	2	`(*.f64 a a)`
84.5%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes26.0ms (0.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(*.f64 b b)
2.0ms	a
2.0ms	b
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
81.9%	2	`a`
81.9%	2	`(*.f64 a a)`
78.7%	2	`b`
78.7%	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	a
1.0ms	b
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
58.1%	1	`b`
58.1%	1	`a`
58.1%	1	`(*.f64 a a)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.742076491718393e+84	1.3786100005775412e+87

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch25.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.1240761072380091e-49	2.5660619576968737e-45

Results

21.0ms

128×

valid

Compiler

Compiled 102 to 73 computations (28.4% saved)

Precisions

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

ival-sub: 1.0ms (49.4% of total)

ival-mult: 1.0ms (49.4% 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`
8×	`+-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	15	37
1	26	37
2	31	37
3	34	37
4	35	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (.f64 a a) (*.f64 (-.f64 a b) b))
(if (<=.f64 (.f64 a a) #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (neg.f64 (.f64 b b)) (*.f64 a a))
(*.f64 a a)

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (.f64 a a) (*.f64 (-.f64 a b) b))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (.f64 a a) (*.f64 b (-.f64 a b)))
(if (<=.f64 (.f64 a a) #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (neg.f64 (.f64 b b)) (*.f64 a a))
(if (<=.f64 (.f64 a a) #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b b)) (*.f64 a a))
(*.f64 a a)

soundness1.1s (24.5%)

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	153
2	125	153
3	522	153
4	1924	153
5	3950	153
0	8170	153
0	9	20
1	55	18
2	493	18
3	6625	18
0	8244	18
0	5	9
1	35	9
2	255	9
3	3269	9
0	8662	9
0	86	429
1	285	297
2	977	297
3	4613	297
0	8881	297

Stop Event

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

Compiler

Compiled 93 to 48 computations (48.4% saved)

preprocess37.0ms (0.8%)

Remove

(abs b)

(abs a)

Compiler

Compiled 152 to 72 computations (52.6% saved)

Difference of squares

analyze0.0ms (0%)

sample745.0ms (16.1%)

preprocess205.0ms (4.4%)

explain99.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (2.7%)

localize28.0ms (0.6%)

series2.0ms (0%)

rewrite362.0ms (7.8%)

simplify150.0ms (3.2%)

eval55.0ms (1.2%)

prune39.0ms (0.9%)

simplify150.0ms (3.3%)

localize71.0ms (1.5%)

series3.0ms (0.1%)

rewrite303.0ms (6.5%)

simplify208.0ms (4.5%)

eval77.0ms (1.7%)

prune103.0ms (2.2%)

simplify38.0ms (0.8%)

localize34.0ms (0.7%)

series3.0ms (0.1%)

rewrite303.0ms (6.5%)

simplify134.0ms (2.9%)

eval71.0ms (1.5%)

prune62.0ms (1.3%)

regimes14.0ms (0.3%)

regimes8.0ms (0.2%)

regimes26.0ms (0.6%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.5%)

simplify8.0ms (0.2%)

soundness1.1s (24.5%)

preprocess37.0ms (0.8%)

end0.0ms (0%)

Profiling