Metrics for Bouland and Aaronson, Equation (26)

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 20 to 13 computations (35% saved)

Precisions

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

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

ival-add: 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)

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

sample1.2s (14.5%)

Results

916.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-mult: 244.0ms (42.7% of total)

ival-add: 104.0ms (18.2% of total)

ival-pow: 104.0ms (18.2% of total)

ival-sub: 98.0ms (17.2% of total)

const: 19.0ms (3.3% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess222.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1996×	`+-lowering-+.f64`
1996×	`+-lowering-+.f32`
1890×	`fma-lowering-fma.f32`
1890×	`fma-lowering-fma.f64`
1774×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	93	74
2	245	72
3	832	72
4	4203	72
0	12	14
1	28	12
2	61	12
3	197	12
4	901	12
5	2889	12
6	4386	12
0	8230	12

Stop Event

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

Calls

Call 1

Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)

Outputs

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)

(+.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Call 2

Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (* b b))) 1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (* (neg b) (neg b)))) 1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (* b b))) 1))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (* (neg b) (neg b)))) 1))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* a a))) 1)

Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)
(+ (square (fma a a (square b))) (fnmsub (square b) -4 1))
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (* b b))) 1)
(+ (square (fma a a (square b))) (fnmsub (square b) -4 1))
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (* (neg b) (neg b)))) 1)
(+ (square (fma a a (square b))) (fnmsub (square b) -4 1))
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (* b b))) 1))
(- (fnmsub (square b) 4 -1) (square (fma a a (square b))))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (* (neg b) (neg b)))) 1))
(- (fnmsub (square b) 4 -1) (square (fma a a (square b))))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* a a))) 1)
(+ (square (fma a a (square b))) (fnmsub (square a) -4 1))

Symmetry

(abs a)

(abs b)

explain188.0ms (2.3%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
54	(9.360082015892829e+30 1.8808256125884621e-252)	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	-	`b`
0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 #s(literal 4 binary64) (.f64 b b))`
0	-	-	`(*.f64 b b)`
0	-	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`a`
0	-	-	`(*.f64 a a)`

Results

125.0ms

512×

valid

Compiler

Compiled 153 to 38 computations (75.2% saved)

Precisions

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

ival-mult: 12.0ms (44.3% of total)

ival-add: 6.0ms (22.2% of total)

ival-pow: 6.0ms (22.2% of total)

ival-sub: 3.0ms (11.1% of total)

const: 1.0ms (3.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 25 to 11 computations (56% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Compiler

Compiled 25 to 11 computations (56% saved)

simplify232.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	cost-diff	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Rules

4084×	`sum4-define`
2864×	`sum3-define`
2862×	`fma-define`
2836×	`sum5-define`
2398×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	31	40
2	98	40
3	483	40
4	1411	40
5	4024	40
6	4144	40
7	4240	40
8	4254	40
9	4260	40
10	4260	40
11	7312	40
12	7966	40
13	7966	40
0	7966	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
(+ (* (* b b) 4) -1)
(* (* b b) 4)
4
-1

Outputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 b (*.f64 b #s(literal 4 binary64)))))
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
(+ (* a a) (* b b))
(+.f64 (.f64 a a) (.f64 b b))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b
(+ (* (* b b) 4) -1)
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))
(* (* b b) 4)
(.f64 b (.f64 b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize54.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))

Results

40.0ms

256×

valid

Compiler

Compiled 70 to 12 computations (82.9% saved)

Precisions

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

ival-mult: 7.0ms (64.8% of total)

ival-add: 4.0ms (37% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>
#<alt (+ (* a a) (* b b))>
#<alt (* a a)>
#<alt (* (* b b) 4)>
#<alt (* b b)>

Outputs
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (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 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 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 a 2)>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (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
24.0ms	a	@	-inf	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
1.0ms	a	@	0	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
1.0ms	b	@	inf	(* (* b b) 4)
1.0ms	b	@	0	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
1.0ms	b	@	inf	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))

rewrite281.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3516×	`sum4-define`
2860×	`fma-define`
2836×	`sum5-define`
2652×	`sum3-define`
2374×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	35	31
2	111	31
3	526	31
4	1540	31
5	4239	31
6	4500	31
7	4732	31
8	4753	31
9	4776	31
10	4776	31
11	7864	31
0	8052	31

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 188

Calls

Call 1

Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
(* a a)
(* (* b b) 4)
(* b b)

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))))
(+.f64 (.f64 a (.f64 a (.f64 b b))) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))))
(+.f64 (+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))) (.f64 (.f64 b b) (.f64 b b)))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)))))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b)))))
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(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)))))
(+.f64 (.f64 a (.f64 a (.f64 b b))) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)))) (.f64 a (.f64 a (.f64 a a))))
(+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (.f64 b b))) (.f64 a (.f64 a (.f64 b b))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 b b) (.f64 b b)))
(+.f64 (.f64 a (.f64 #s(literal 2 binary64) (.f64 a (.f64 b b)))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b))))
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b))) (.f64 a (.f64 #s(literal 2 binary64) (.f64 a (.f64 b b)))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(fma.f64 a (.f64 a (.f64 b b)) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 a (.f64 #s(literal 2 binary64) (.f64 a (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(fma.f64 (.f64 a a) (.f64 b b) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 b (.f64 b (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 b (.f64 (.f64 a a) b) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b b) (.f64 a a) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 a (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a (.f64 a (.f64 b b))) #s(literal 2 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 b b))) a (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 b (+.f64 (.f64 a a) (.f64 b b))) b (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 a b) (.f64 a b) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a b) (.f64 b (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) b (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a a) b) b (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 (.f64 a a) b) (.f64 b #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a (.f64 b b)) a (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a (.f64 b b)) (.f64 a #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 a a) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 2 binary64)))) b (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) a (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 a (.f64 b b))) a (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 (.f64 a a) #s(literal 2 binary64))) b (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (.f64 b b) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a b) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 (.f64 a a) b) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 a (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.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 a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 a a))
(exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(*.f64 a a)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)

simplify266.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3094×	`+-lowering-+.f64`
3094×	`+-lowering-+.f32`
2484×	`-lowering-.f32`
2484×	`-lowering-.f64`
2036×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1110
1	249	918
2	823	886
3	3445	787
0	8929	787

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(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 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 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 a 2)
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (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
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))) #s(literal -1 binary64)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))))) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))))) (.f64 a (.f64 a (*.f64 a a))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))))) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))))) (.f64 a (.f64 a (*.f64 a a))))))
(- (pow a 4) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b))))) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b))))) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b))))) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 4 binary64) (.f64 b b))))) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.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 a 2)
(*.f64 a a)
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 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)

eval46.0ms (0.6%)

Compiler: Compiled 9550 to 451 computations (95.3% saved)

prune38.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	364	9	373
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	364	10	374

Accuracy

100.0%

Counts

374 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))) (.f64 a (.f64 a (.f64 a a))))
▶	99.9%	(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	99.9%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	81.5%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
	87.3%	(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
	72.8%	(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
▶	72.8%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	67.9%	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
	49.8%	(.f64 b (.f64 b (*.f64 b b)))
▶	45.0%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 327 to 189 computations (42.2% saved)

simplify245.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	256	(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	(+.f64 (*.f64 a a) (pow.f64 b #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	6336	(pow.f64 b #s(literal 2 binary64))

Rules

4024×	`sum4-define`
2948×	`fma-define`
2932×	`sum3-define`
2852×	`sum5-define`
2398×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	161
1	71	144
2	179	143
3	680	142
4	1812	142
5	3691	142
6	3818	142
7	3917	142
8	3931	142
9	3937	142
10	5547	142
11	7624	142
12	7812	142
13	7812	142
0	7812	142

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ (* a a) (pow b 2)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(* (+ (* a a) (pow b 2)) (+ (* a a) (* b b)))
(+ (* a a) (pow b 2))
(* a a)
a
(pow b 2)
b
2
(+ (* a a) (* b b))
(* b b)
(+ (* (* b b) 4) -1)
(* (* b b) 4)
4
-1
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(+ (* a (* a (* a a))) -1)
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
-1
(+ (* b (* b (* b b))) (+ (* (* b b) 4) -1))
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ (* (* b b) 4) -1)
(* (* b b) 4)
4
-1
(+ (* (+ (* a a) (* b b)) (* a a)) (+ (* (* b b) 4) -1))
(* (+ (* a a) (* b b)) (* a a))
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
(+ (* (* b b) 4) -1)
(* (* b b) 4)
4
-1

Outputs
(+ (* (+ (* a a) (pow b 2)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(* (+ (* a a) (pow b 2)) (+ (* a a) (* b b)))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
(+ (* a a) (pow b 2))
(+.f64 (.f64 a a) (.f64 b b))
(* a a)
(*.f64 a a)
a
(pow b 2)
(*.f64 b b)
b
2
#s(literal 2 binary64)
(+ (* a a) (* b b))
(+.f64 (.f64 a a) (.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* b b) 4) -1)
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (* b b) 4)
(.f64 (.f64 b b) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* a (* a (* a a)))
(.f64 (.f64 a a) (*.f64 a a))
a
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(+ (* a (* a (* a a))) -1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (*.f64 a a)))
(* a (* a (* a a)))
(.f64 (.f64 a a) (*.f64 a a))
a
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
-1
#s(literal -1 binary64)
(+ (* b (* b (* b b))) (+ (* (* b b) 4) -1))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(* b (* b (* b b)))
(.f64 b (.f64 b (*.f64 b b)))
b
(* b (* b b))
(.f64 b (.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* b b) 4) -1)
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (* b b) 4)
(.f64 (.f64 b b) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (+ (* a a) (* b b)) (* a a)) (+ (* (* b b) 4) -1))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(* (+ (* a a) (* b b)) (* a a))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))
(+ (* a a) (* b b))
(+.f64 (.f64 a a) (.f64 b b))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b
(+ (* (* b b) 4) -1)
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (* b b) 4)
(.f64 (.f64 b b) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize177.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	90.1%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(pow.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b)))

Results

120.0ms

256×

valid

Compiler

Compiled 227 to 23 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (53.2% of total)

ival-add: 9.0ms (29.9% of total)

ival-pow: 4.0ms (13.3% of total)

const: 1.0ms (3.3% of total)

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

series8.0ms (0.1%)

Counts

16 → 264

Calls

Call 1

Inputs
#<alt (pow b 2)>
#<alt (+ (* (+ (* a a) (pow b 2)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))>
#<alt (* (+ (* a a) (pow b 2)) (+ (* a a) (* b b)))>
#<alt (+ (* a a) (pow b 2))>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (+ (* a (* a (* a a))) -1)>
#<alt (+ (* b (* b (* b b))) (+ (* (* b b) 4) -1))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (+ (* (+ (* a a) (* b b)) (* a a)) (+ (* (* b b) 4) -1))>
#<alt (* (+ (* a a) (* b b)) (* a a))>
#<alt (+ (* a a) (* b b))>
#<alt (* (* b b) 4)>

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 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (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 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<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>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<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 (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* (pow a 2) (pow b 2))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)>
#<alt (* (pow b 2) (+ 4 (pow a 2)))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (pow a 2)))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (+ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (pow a 2) (pow b 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 4)>
#<alt (+ (* (pow a 2) (pow b 2)) (pow a 4))>
#<alt (+ (* (pow a 2) (pow b 2)) (pow a 4))>
#<alt (+ (* (pow a 2) (pow b 2)) (pow a 4))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))>
#<alt (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 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(* a (* a a))
0.0ms	a	@	0	(* a (* a a))
0.0ms	a	@	0	(* a (* a (* a a)))
0.0ms	b	@	0	(* b (* b (* b b)))
0.0ms	b	@	inf	(+ (* (+ (* a a) (* b b)) (* a a)) (+ (* (* b b) 4) -1))

rewrite314.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3800×	`sum4-define`
3024×	`fma-define`
2916×	`sum3-define`
2804×	`sum5-define`
2696×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	75	85
2	200	84
3	760	83
4	1962	83
5	3990	83
6	4155	83
7	4273	83
8	4311	83
9	4317	83
10	5935	83
0	8008	83

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 302

Calls

Call 1

Inputs
(pow b 2)
(+ (* (+ (* a a) (pow b 2)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1))
(* (+ (* a a) (pow b 2)) (+ (* a a) (* b b)))
(+ (* a a) (pow b 2))
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(+ (* a (* a (* a a))) -1)
(+ (* b (* b (* b b))) (+ (* (* b b) 4) -1))
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(+ (* (+ (* a a) (* b b)) (* a a)) (+ (* (* b b) 4) -1))
(* (+ (* a a) (* b b)) (* a a))
(+ (* a a) (* b b))
(* (* b b) 4)

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 b (*.f64 b #s(literal 4 binary64)))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a)))))
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 a a)))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b)))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64))))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))))
(+.f64 (.f64 a (.f64 b (.f64 b a))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)) (.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 a a)))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b b)))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
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(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 a (.f64 b (.f64 b a))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b)))) (.f64 (.f64 b b) (.f64 b b)))
(+.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 a (.f64 b (.f64 b a))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 a (.f64 b (.f64 b a)))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b))))
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal 2 binary64) (.f64 a (.f64 b (.f64 b a)))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(fma.f64 b (.f64 b (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 b (.f64 b (.f64 a a)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 b (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 b (.f64 b a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 a (.f64 b (.f64 b a)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b)))) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 a (.f64 #s(literal 2 binary64) (.f64 b (.f64 b a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(fma.f64 (.f64 a a) (.f64 b b) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b b) (.f64 a a) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(fma.f64 (.f64 b (.f64 b b)) b (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 b b))) a (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 a (.f64 b (.f64 b a))) #s(literal 2 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (+.f64 (.f64 a a) (.f64 b b))) b (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b))))
(fma.f64 (.f64 b a) (.f64 b a) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b a) (.f64 #s(literal 2 binary64) (.f64 b a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 a a)) b (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 b a)) a (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 b a)) (.f64 #s(literal 2 binary64) a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))) (.f64 a a) (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))) b (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b)))) a (.f64 (.f64 b b) (*.f64 b b)))
(fma.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) b (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b a))) a (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (.f64 b a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) a) (.f64 b (.f64 b a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (*.f64 b b))))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.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 a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 a a))
(exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 a))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 (.f64 a (*.f64 a a)) a)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 a))
(.f64 a (.f64 a a))
(.f64 (.f64 a a) a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(*.f64 a a)
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 a (.f64 a a)) a #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (*.f64 b b))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 b b) (*.f64 b b)))
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))) (.f64 b (*.f64 b #s(literal 4 binary64))))
(fma.f64 b (.f64 b (.f64 b b)) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) b (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 b b))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b #s(literal -1 binary64))
(fma.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b (*.f64 b b)) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 a (.f64 b (.f64 b a))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 b (.f64 b #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 b (.f64 b a)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 a (.f64 a (.f64 a a))))
(+.f64 (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 b (.f64 b a))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 b (.f64 b a)))) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (.f64 a a)))))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 b (.f64 b (.f64 a a)) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 b (.f64 b (+.f64 (.f64 a a) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(fma.f64 a (.f64 a (.f64 a a)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 a a) #s(literal 4 binary64)))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 a (.f64 b (.f64 b a)) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 a a) (.f64 a a) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 a a) #s(literal 4 binary64)))))
(fma.f64 (.f64 a a) (.f64 b b) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 b b) (.f64 a a) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 a a) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a) (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 a (.f64 a a)) a (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 a a) #s(literal 4 binary64)))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 b b))) a (+.f64 (.f64 b (*.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 b a) (.f64 b a) (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 b (.f64 a a)) b (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 b (.f64 b a)) a (+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 b (+.f64 (.f64 a a) #s(literal 4 binary64))) b (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(fma.f64 (+.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 b (.f64 b a))))
(+.f64 (.f64 a (.f64 b (.f64 b a))) (.f64 a (.f64 a (.f64 a a))))
(exp.f64 (log.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))))
(fma.f64 b (.f64 b (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 a (.f64 b (*.f64 b a))))
(fma.f64 a (.f64 b (.f64 b a)) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 a (.f64 b (*.f64 b a))))
(fma.f64 (.f64 a a) (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b b) (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 a (.f64 b (*.f64 b a))))
(fma.f64 (.f64 b a) (.f64 b a) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b (.f64 a a)) b (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b (.f64 b a)) a (.f64 a (.f64 a (*.f64 a a))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 b b))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a))
(.f64 (.f64 a (+.f64 (.f64 a a) (.f64 b b))) a)
(+.f64 (.f64 a a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 a a))
(exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)

simplify281.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3254×	`+-lowering-+.f64`
3254×	`+-lowering-+.f32`
2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
1538×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	2223
1	362	1835
2	1150	1770
3	4564	1710
0	8405	1710

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(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 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(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 a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(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)
(- (* 4 (pow b 2)) 1)
(- (+ (* 4 (pow b 2)) (* (pow a 2) (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1)
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1)
(* (pow b 2) (+ 4 (pow a 2)))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 4 (pow a 2)))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2))))
(* (pow a 2) (pow b 2))
(* (pow a 2) (+ (pow a 2) (pow b 2)))
(* (pow a 2) (+ (pow a 2) (pow b 2)))
(* (pow a 2) (+ (pow a 2) (pow b 2)))
(pow a 4)
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 4)
(+ (* (pow a 2) (pow b 2)) (pow a 4))
(+ (* (pow a 2) (pow b 2)) (pow a 4))
(+ (* (pow a 2) (pow b 2)) (pow a 4))
(* (pow a 2) (pow b 2))
(* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))
(* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))
(* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))
(* (pow a 2) (pow b 2))
(* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))
(* (pow b 2) (+ (/ (pow a 4) (pow b 2)) (pow a 2)))
(* (pow b 2) (+ (/ (pow a 4) (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 b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))

Outputs
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))))
(- (pow a 4) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.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 #s(literal 4 binary64) (.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.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 #s(literal 4 binary64) (.f64 b b)))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.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 #s(literal 4 binary64) (.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.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 #s(literal 4 binary64) (.f64 b b)))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
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(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(+.f64 (.f64 b b) (.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 a a))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))

eval123.0ms (1.5%)

Compiler: Compiled 16395 to 680 computations (95.9% saved)

prune63.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	816	8	824
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	822	12	834

Accuracy

100.0%

Counts

834 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.1%	(pow.f64 a #s(literal 4 binary64))
	72.8%	(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	96.0%	(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	99.9%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
	79.5%	(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
▶	72.8%	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
	51.7%	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	67.9%	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
▶	45.0%	(.f64 (.f64 a a) (*.f64 a a))
	49.8%	(.f64 b (.f64 b (*.f64 b b)))
✓	45.0%	(.f64 a (.f64 a (*.f64 a a)))
▶	24.1%	#s(literal -1 binary64)

Compiler

Compiled 259 to 157 computations (39.4% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6080	(pow.f64 a #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 (*.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (*.f64 a a))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))

Rules

1302×	`fma-define`
1188×	`fma-lowering-fma.f32`
1188×	`fma-lowering-fma.f64`
818×	`sum3-define`
730×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	52	103
2	166	103
3	441	103
4	1002	102
5	1902	102
6	2213	102
7	2240	102
0	2240	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
(+ (* (* b b) (+ (* b b) 4)) -1)
(* (* b b) (+ (* b b) 4))
(* b b)
b
(+ (* b b) 4)
4
-1
(* (* a a) (+ (* a a) (* b (* b 2))))
(* a a)
a
(+ (* a a) (* b (* b 2)))
(* b (* b 2))
(* b 2)
2
-1
(* (* a a) (* a a))
(* a a)
a
(+ (* (* b b) (+ (* b b) 4)) -1)
(* (* b b) (+ (* b b) 4))
(* b b)
b
(+ (* b b) 4)
4
-1
(pow a 4)
a
4

Outputs
(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(+ (* (* b b) (+ (* b b) 4)) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (* b b) (+ (* b b) 4))
(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
b
(+ (* b b) 4)
(+.f64 (*.f64 b b) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (* a a) (+ (* a a) (* b (* b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64))))
(* a a)
(*.f64 a a)
a
(+ (* a a) (* b (* b 2)))
(+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))
(* b (* b 2))
(.f64 (.f64 b b) #s(literal 2 binary64))
(* b 2)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(* (* a a) (* a a))
(.f64 (.f64 a a) (*.f64 a a))
(* a a)
(*.f64 a a)
a
(+ (* (* b b) (+ (* b b) 4)) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (* b b) (+ (* b b) 4))
(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
b
(+ (* b b) 4)
(+.f64 (*.f64 b b) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(pow a 4)
(.f64 (.f64 a a) (*.f64 a a))
a
4
#s(literal 4 binary64)

localize107.0ms (1.3%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 a #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 b b) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.7%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	accuracy	90.1%	(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))

Results

77.0ms

256×

valid

Compiler

Compiled 142 to 18 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (59.3% of total)

ival-add: 5.0ms (24.7% of total)

ival-pow: 3.0ms (14.8% of total)

const: 1.0ms (4.9% of total)

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

series8.0ms (0.1%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))>
#<alt (+ (* (* b b) (+ (* b b) 4)) -1)>
#<alt (* (* b b) (+ (* b b) 4))>
#<alt (* b b)>
#<alt (* (* a a) (* a a))>
#<alt (* a a)>
#<alt (+ (* b b) 4)>
#<alt (pow a 4)>
#<alt (* (* a a) (+ (* a a) (* b (* b 2))))>

Outputs
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 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)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<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 4>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(* (* a a) (+ (* a a) (* b (* b 2))))
0.0ms	b	@	0	(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
0.0ms	a	@	0	(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
0.0ms	b	@	inf	(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
0.0ms	a	@	inf	(* (* a a) (+ (* a a) (* b (* b 2))))

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`fma-define`
1228×	`fma-lowering-fma.f32`
1228×	`fma-lowering-fma.f64`
870×	`sum3-define`
746×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	58	55
2	187	55
3	491	55
4	1094	54
5	2080	54
6	2504	54
7	2554	54
0	2554	54

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 158

Calls

Call 1

Inputs
(+ (+ (* (* b b) (+ (* b b) 4)) -1) (* (* a a) (+ (* a a) (* b (* b 2)))))
(+ (* (* b b) (+ (* b b) 4)) -1)
(* (* b b) (+ (* b b) 4))
(* b b)
(* (* a a) (* a a))
(* a a)
(+ (* b b) 4)
(pow a 4)
(* (* a a) (+ (* a a) (* b (* b 2))))

Outputs
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a a) (.f64 a a)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (.f64 a a)))))
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b (.f64 b #s(literal 4 binary64))))))
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 b b) (.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a (.f64 a #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))
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(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 a a))) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))
(fma.f64 (.f64 b (.f64 a (.f64 b #s(literal 2 binary64)))) a (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 b (.f64 b (.f64 a a))) #s(literal 2 binary64) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 a (.f64 a (.f64 b #s(literal 2 binary64)))) b (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 b a) (.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 a (.f64 b #s(literal 2 binary64))) (.f64 b a) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 b (.f64 b a)) (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a a) (.f64 a a)))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 b (.f64 b a)) (.f64 (.f64 a a) (.f64 a a)))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (*.f64 a a))
(.f64 (.f64 a (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))) a)

simplify243.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2244×	`-lowering-.f32`
2244×	`-lowering-.f64`
1986×	`+-lowering-+.f64`
1986×	`+-lowering-+.f32`
1514×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1162
1	212	975
2	733	952
3	2871	904
0	8659	904

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 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)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(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)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))

Outputs
(- (pow a 4) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (.f64 b b)))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(+.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b (.f64 b (*.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)
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.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 a 2)
(*.f64 a a)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(+ 4 (pow b 2))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(+ 4 (pow b 2))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 b (.f64 b #s(literal 2 binary64)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 b (.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 b (.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))

eval48.0ms (0.6%)

Compiler: Compiled 9076 to 376 computations (95.9% saved)

prune32.0ms (0.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	1	3	4
Picked	1	4	5
Done	1	2	3
Total	456	11	467

Accuracy

100.0%

Counts

467 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.1%	(pow.f64 a #s(literal 4 binary64))
▶	72.8%	(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	79.5%	(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
✓	72.8%	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
▶	51.7%	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
▶	72.3%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	67.9%	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
✓	45.0%	(.f64 (.f64 a a) (*.f64 a a))
▶	49.8%	(.f64 b (.f64 b (*.f64 b b)))
✓	45.0%	(.f64 a (.f64 a (*.f64 a a)))
✓	24.1%	#s(literal -1 binary64)

Compiler

Compiled 196 to 121 computations (38.3% saved)

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	256	(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	6080	(pow.f64 b #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))

Rules

746×	`fma-define`
672×	`fma-lowering-fma.f32`
672×	`fma-lowering-fma.f64`
238×	`-lowering-.f32`
238×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	161
1	72	146
2	210	146
3	524	145
4	840	145
5	952	145
6	954	145
0	954	145

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
(* (* b b) (+ (* b b) (+ 4 (* a (* a 2)))))
(* b b)
b
(+ (* b b) (+ 4 (* a (* a 2))))
(+ 4 (* a (* a 2)))
4
(* a (* a 2))
a
(* a 2)
2
-1
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ (* (* b b) 4) -1)
(* (* b b) 4)
(* b b)
b
4
-1
(+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2)))))
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(* (* a a) (+ (* a a) (* b (* b 2))))
(* a a)
a
(+ (* a a) (* b (* b 2)))
(* b (* b 2))
(* b 2)
2
(+ (pow b 4) (+ (* (* b b) 4) -1))
(pow b 4)
b
4
(+ (* (* b b) 4) -1)
(* (* b b) 4)
(* b b)
-1

Outputs
(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(* (* b b) (+ (* b b) (+ 4 (* a (* a 2)))))
(.f64 (.f64 b b) (+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(* b b)
(*.f64 b b)
b
(+ (* b b) (+ 4 (* a (* a 2))))
(+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
(+ 4 (* a (* a 2)))
(+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))
4
#s(literal 4 binary64)
(* a (* a 2))
(.f64 a (.f64 a #s(literal 2 binary64)))
a
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(* b (* b (* b b)))
(.f64 b (.f64 b (*.f64 b b)))
b
(* b (* b b))
(.f64 b (.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* b b) 4) -1)
(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b #s(literal 4 binary64))))
(* (* b b) 4)
(.f64 b (.f64 b #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
b
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2)))))
(+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 b (.f64 b (.f64 b b))))
(* b (* b (* b b)))
(.f64 b (.f64 b (*.f64 b b)))
b
(* b (* b b))
(.f64 b (.f64 b b))
(* b b)
(*.f64 b b)
(* (* a a) (+ (* a a) (* b (* b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(* a a)
(*.f64 a a)
a
(+ (* a a) (* b (* b 2)))
(+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))
(* b (* b 2))
(.f64 (.f64 b b) #s(literal 2 binary64))
(* b 2)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (pow b 4) (+ (* (* b b) 4) -1))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
b
4
#s(literal 4 binary64)
(+ (* (* b b) 4) -1)
(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b #s(literal 4 binary64))))
(* (* b b) 4)
(.f64 b (.f64 b #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
-1
#s(literal -1 binary64)

localize186.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	90.1%	(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 a (.f64 a #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 2 binary64))
✓	accuracy	86.2%	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64))))))

Results

122.0ms

256×

valid

Compiler

Compiled 207 to 25 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (57.5% of total)

ival-add: 8.0ms (27.1% of total)

ival-pow: 4.0ms (13.5% of total)

const: 1.0ms (3.4% of total)

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

series7.0ms (0.1%)

Counts

14 → 228

Calls

Call 1

Inputs
#<alt (+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)>
#<alt (* (* b b) (+ (* b b) (+ 4 (* a (* a 2)))))>
#<alt (* b b)>
#<alt (+ (* b b) (+ 4 (* a (* a 2))))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (+ (* (* b b) 4) -1)>
#<alt (* (* b b) 4)>
#<alt (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2)))))>
#<alt (pow b 4)>
#<alt (+ (pow b 4) (+ (* (* b b) 4) -1))>
#<alt (* a 2)>
#<alt (* a (* a 2))>
#<alt (* (* a a) (+ (* a a) (* b (* b 2))))>

Outputs
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ 4 (* 2 (pow a 2))))>
#<alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (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)>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
0.0ms	b	@	0	(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
0.0ms	a	@	-inf	(* a 2)
0.0ms	a	@	0	(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
0.0ms	a	@	inf	(* a 2)

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`fma-define`
712×	`fma-lowering-fma.f32`
712×	`fma-lowering-fma.f64`
276×	`-lowering-.f32`
276×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	99
1	77	88
2	229	88
3	576	87
4	941	87
5	1124	87
6	1241	87
7	1253	87
0	1253	87

Stop Event

1×	iter limit
1×	saturated

Counts

14 → 228

Calls

Call 1

Inputs
(+ (* (* b b) (+ (* b b) (+ 4 (* a (* a 2))))) -1)
(* (* b b) (+ (* b b) (+ 4 (* a (* a 2)))))
(* b b)
(+ (* b b) (+ 4 (* a (* a 2))))
(* b (* b (* b b)))
(* b (* b b))
(+ (* (* b b) 4) -1)
(* (* b b) 4)
(+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2)))))
(pow b 4)
(+ (pow b 4) (+ (* (* b b) 4) -1))
(* a 2)
(* a (* a 2))
(* (* a a) (+ (* a a) (* b (* b 2))))

Outputs
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64))))))))
(+.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))))) (.f64 b (.f64 b (*.f64 b b))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 b (.f64 b (.f64 b b)) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))))))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 b (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b b) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 a (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 (.f64 b b) a)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 (.f64 b b) a) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (.f64 b (.f64 b b)) b (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))))))
(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) b #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) a (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) b (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 a (.f64 (.f64 b b) a)) #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b a) (.f64 b (.f64 a #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 b b) a) (.f64 a #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b a) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))) (.f64 b (.f64 b (*.f64 b b))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 b (.f64 b (.f64 b b))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 b (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b (.f64 b (.f64 b b))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 a (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 (.f64 b b) a)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 (.f64 b b) a) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b b) (.f64 b (.f64 b (.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) b (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))))
(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b b) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) a (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) b (.f64 b (.f64 b (.f64 b b))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 a (.f64 (.f64 b b) a)) #s(literal 2 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) b (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b a) (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) b (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 b b) a) (.f64 a #s(literal 2 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b a) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(.f64 (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))) (*.f64 b b))
(.f64 (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) b)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))) (*.f64 b b))
(+.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a (*.f64 a #s(literal 2 binary64))))
(+.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))) #s(literal 4 binary64))
(fma.f64 b b (+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 a (.f64 a #s(literal 2 binary64)) (+.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 a a) (+.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 a #s(literal 2 binary64)) a (+.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 a a) #s(literal 2 binary64) (+.f64 (.f64 b b) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b (*.f64 b b)) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b #s(literal -1 binary64))
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.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 (.f64 a #s(literal 2 binary64))))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 b (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b (.f64 b (*.f64 b b))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(fma.f64 a (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 (.f64 b b) a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 (.f64 b b) a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 b b)) b (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 b (.f64 b (*.f64 b b))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 a a) (.f64 b (.f64 b (*.f64 b b))))
(fma.f64 (.f64 a (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) a (.f64 b (.f64 b (*.f64 b b))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) a (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 a (.f64 (.f64 b b) a)) #s(literal 2 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) b (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b a) (.f64 b (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))))) b (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 (.f64 (.f64 b b) a) (.f64 a #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b a) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b (*.f64 b b)) b)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (*.f64 b b))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 b (.f64 b (.f64 b b)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (.f64 b (.f64 b b)) b (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))
(fma.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b #s(literal -1 binary64))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(.f64 a (.f64 a #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 a a))
(.f64 (.f64 a #s(literal 2 binary64)) a)
(.f64 (.f64 a a) #s(literal 2 binary64))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 a (.f64 a (*.f64 a a))))
(fma.f64 b (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 a (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 #s(literal 2 binary64) (.f64 a (.f64 (.f64 b b) a)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 (.f64 b b) a) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 b b) (.f64 a #s(literal 2 binary64))) a (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a (.f64 (.f64 b b) a)) #s(literal 2 binary64) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b (.f64 a (.f64 a #s(literal 2 binary64)))) b (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b (.f64 a a)) (.f64 b #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b a) (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 (.f64 b b) a) (.f64 a #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b a) (.f64 a (.f64 a (.f64 a a))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (*.f64 a a))
(.f64 (.f64 a (+.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 2 binary64)))) a)

simplify242.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2782×	`-lowering-.f32`
2782×	`-lowering-.f64`
1624×	`fma-lowering-fma.f32`
1624×	`fma-lowering-fma.f64`
1234×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	1963
1	265	1636
2	832	1601
3	2979	1482
4	5817	1462
0	8432	1462

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
-1
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 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)
(+ 4 (* 2 (pow a 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))

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

eval91.0ms (1.1%)

Compiler: Compiled 9542 to 469 computations (95.1% saved)

prune42.0ms (0.5%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	603	4	607
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	605	13	618

Accuracy

100.0%

Counts

618 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(pow.f64 b #s(literal 4 binary64))
✓	45.1%	(pow.f64 a #s(literal 4 binary64))
✓	72.8%	(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	51.7%	(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	72.3%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	67.9%	(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
	56.3%	(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
✓	45.0%	(.f64 (.f64 a a) (*.f64 a a))
	49.9%	(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
✓	49.8%	(.f64 b (.f64 b (*.f64 b b)))
	28.7%	(.f64 b (.f64 b #s(literal 4 binary64)))
✓	45.0%	(.f64 a (.f64 a (*.f64 a a)))
✓	24.1%	#s(literal -1 binary64)

Compiler

Compiled 454 to 151 computations (66.7% saved)

regimes47.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))) (.f64 a (.f64 a (.f64 a a))))
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Calls

6 calls:

9.0ms	(*.f64 b b)
8.0ms	a
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
7.0ms	b
7.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.9%	1	`(*.f64 a a)`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes45.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))))) (.f64 a (.f64 a (.f64 a a))))
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Calls

6 calls:

11.0ms	b
7.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
7.0ms	a
6.0ms	(*.f64 a a)
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.9%	1	`(*.f64 a a)`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes27.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))

Outputs

(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

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

Calls

4 calls:

8.0ms	b
7.0ms	(*.f64 b b)
5.0ms	a
5.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.7%	2	`a`
99.0%	2	`b`
99.7%	2	`(*.f64 a a)`
99.0%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes281.0ms (3.4%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

Outputs

(+.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

(+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))

Calls

4 calls:

265.0ms	a
5.0ms	b
5.0ms	(*.f64 b b)
5.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.0%	2	`b`
99.0%	2	`(*.f64 b b)`
98.9%	2	`a`
98.9%	2	`(*.f64 a a)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes30.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))) #s(literal -1 binary64))

Outputs

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

(+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64))

Calls

4 calls:

11.0ms	(*.f64 b b)
8.0ms	a
5.0ms	b
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
93.9%	2	`a`
93.9%	2	`(*.f64 a a)`
98.6%	2	`b`
98.6%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`b`
98.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))

Outputs
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))

Calls

2 calls:

6.0ms	(*.f64 b b)
4.0ms	b

Results

Accuracy	Segments	Branch
97.1%	2	`b`
97.1%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))

Outputs
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))

Calls

4 calls:

5.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
80.5%	2	`a`
80.5%	2	`(*.f64 a a)`
79.9%	4	`b`
79.9%	4	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes13.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))

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

Calls

3 calls:

8.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
79.9%	4	`b`
72.9%	3	`a`
72.3%	3	`(*.f64 a a)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))

Outputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 a (.f64 a (*.f64 a a)))

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
69.5%	3	`a`
65.7%	4	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))

Outputs
#s(literal -1 binary64)
(.f64 b (.f64 b #s(literal 4 binary64)))

Calls

2 calls:

4.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
51.3%	2	`b`
41.0%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
24.1%	1	`a`
24.1%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12067987985480415	325827.7878748328

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.446988330556999e+29	2.6137133423850036e+35

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.405751901966164e-9	1.792522405723759e-8

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.446988330556999e+29	2.6137133423850036e+35

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.446988330556999e+29	2.6137133423850036e+35

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0045778219348094e+21	3.095148294228424e+24

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch65.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	587110579921448.8	511244886760249540.0
13.0ms	4.5772645919492005e-34	2.2561715929337753e-33
19.0ms	2.0121393443346134e-171	1.9152439428146745e-162

Results

48.0ms

368×

valid

Compiler

Compiled 394 to 262 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.3% of total)

ival-pow: 6.0ms (29.5% of total)

ival-add: 3.0ms (14.7% of total)

ival-sub: 2.0ms (9.8% of total)

const: 1.0ms (4.9% of total)

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

bsearch57.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	31695075673.27785	1759303354805.0842
20.0ms	0.3473900975197827	570.8132688321399

Results

46.0ms

240×

valid

Compiler

Compiled 246 to 180 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (42.7% of total)

ival-pow: 3.0ms (25.6% of total)

ival-add: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.5% of total)

const: 1.0ms (8.5% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00017833108978228284	357.4418266317535

Results

14.0ms

144×

valid

Compiler

Compiled 132 to 106 computations (19.7% saved)

Precisions

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

ival-mult: 3.0ms (33.8% of total)

ival-sub: 2.0ms (22.5% of total)

ival-add: 2.0ms (22.5% of total)

ival-pow: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
30×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	300
1	107	300

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 a a) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 a a)))))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(if (<=.f64 (.f64 a a) #s(literal 2000000000000000000000 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(if (<=.f64 b #s(literal 2761917562647189/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 b #s(literal 2484552783462535/1461501637330902918203684832716283019655932542976 binary64)) #s(literal -1 binary64) (if (<=.f64 b #s(literal 6000000000000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal 2476979795053773/4503599627370496 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 42000000000 binary64)) (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (.f64 b (.f64 b #s(literal 4 binary64))))
#s(literal -1 binary64)

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (pow.f64 b #s(literal 2 binary64))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))
(if (<=.f64 (.f64 a a) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 a a) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 a a)))))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 500000000000000009942312419328 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(if (<=.f64 (.f64 a a) #s(literal 2000000000000000000000 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(if (<=.f64 b #s(literal 2761917562647189/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 b #s(literal 2484552783462535/1461501637330902918203684832716283019655932542976 binary64)) #s(literal -1 binary64) (if (<=.f64 b #s(literal 6000000000000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal 2476979795053773/4503599627370496 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 42000000000 binary64)) (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (.f64 b (.f64 b #s(literal 4 binary64))))
#s(literal -1 binary64)

soundness2.4s (29.3%)

Rules

3800×	`sum4-define`
3516×	`sum4-define`
3254×	`+-lowering-+.f64`
3254×	`+-lowering-+.f32`
3094×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	35	31
2	111	31
3	526	31
4	1540	31
5	4239	31
6	4500	31
7	4732	31
8	4753	31
9	4776	31
10	4776	31
11	7864	31
0	8052	31
0	112	2223
1	362	1835
2	1150	1770
3	4564	1710
0	8405	1710
0	77	1110
1	249	918
2	823	886
3	3445	787
0	8929	787
0	12	14
1	28	12
2	61	12
3	197	12
4	901	12
5	2889	12
6	4386	12
0	8230	12
0	22	100
1	75	85
2	200	84
3	760	83
4	1962	83
5	3990	83
6	4155	83
7	4273	83
8	4311	83
9	4317	83
10	5935	83
0	8008	83
0	82	1963
1	265	1636
2	832	1601
3	2979	1482
4	5817	1462
0	8432	1462
0	68	1162
1	212	975
2	733	952
3	2871	904
0	8659	904

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
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 1295 to 587 computations (54.7% saved)

preprocess120.0ms (1.5%)

Remove

(abs b)

(abs a)

Compiler

Compiled 842 to 284 computations (66.3% saved)

analyze0.0ms (0%)

sample1.2s (14.5%)

preprocess222.0ms (2.7%)

explain188.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify232.0ms (2.8%)

localize54.0ms (0.7%)

series30.0ms (0.4%)

rewrite281.0ms (3.4%)

simplify266.0ms (3.2%)

eval46.0ms (0.6%)

prune38.0ms (0.5%)

simplify245.0ms (3%)

localize177.0ms (2.2%)

series8.0ms (0.1%)

rewrite314.0ms (3.8%)

simplify281.0ms (3.4%)

eval123.0ms (1.5%)

prune63.0ms (0.8%)

simplify64.0ms (0.8%)

localize107.0ms (1.3%)

series8.0ms (0.1%)

rewrite103.0ms (1.2%)

simplify243.0ms (3%)

eval48.0ms (0.6%)

prune32.0ms (0.4%)

simplify35.0ms (0.4%)

localize186.0ms (2.3%)

series7.0ms (0.1%)

rewrite70.0ms (0.9%)

simplify242.0ms (3%)

eval91.0ms (1.1%)

prune42.0ms (0.5%)

regimes47.0ms (0.6%)

regimes45.0ms (0.6%)

regimes27.0ms (0.3%)

regimes281.0ms (3.4%)

regimes30.0ms (0.4%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch65.0ms (0.8%)

bsearch57.0ms (0.7%)

bsearch21.0ms (0.2%)

simplify16.0ms (0.2%)

soundness2.4s (29.3%)

preprocess120.0ms (1.5%)

end0.0ms (0%)

Profiling