Metrics for Difference of squares

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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 9 to 7 computations (22.2% saved)

sample1.5s (62.1%)

Memory

-100.7MiB live, 1 034.1MiB allocated; 1.3s collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-mult!: 300.0ms (93.6% of total)

ival-sub!: 19.0ms (5.9% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess80.0ms (3.3%)

Memory

-36.8MiB live, 75.5MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	62	42
2	278	42
3	488	42
4	1175	42
5	3881	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(-.f64 (.f64 a a) (.f64 b b))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

5 → 10

Calls

Call 1

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

Outputs
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

Calls

6 calls:

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

rewrite80.0ms (3.3%)

Memory

17.1MiB live, 207.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
0	34	131
1	152	130
0	1535	129

Stop Event

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

Counts

15 → 140

Calls

Call 1

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

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

eval14.0ms (0.6%)

Memory: 13.4MiB live, 52.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 895 to 313 computations (65% saved)

prune6.0ms (0.2%)

Memory

-25.1MiB live, 17.7MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	3	135

Accuracy

100.0%

Counts

135 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
▶	58.1%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
▶	48.7%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 20 to 20 computations (0% saved)

series7.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Counts

10 → 39

Calls

Call 1

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

Outputs
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))

Calls

6 calls:

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

rewrite436.0ms (18.1%)

Memory

55.3MiB live, 374.2MiB allocated; 193ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	630
0	152	575
1	956	554
0	8566	546

Stop Event

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

Counts

49 → 273

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))

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

eval181.0ms (7.6%)

Memory: 20.6MiB live, 76.1MiB allocated; 177ms collecting garbage
Compiler: Compiled 2 246 to 695 computations (69.1% saved)

prune13.0ms (0.6%)

Memory

-20.8MiB live, 26.9MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	260	3	263

Accuracy

100.0%

Counts

263 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	58.1%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	48.7%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 39 to 35 computations (10.3% saved)

regimes19.0ms (0.8%)

Memory

4.3MiB live, 48.3MiB allocated; 5ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes14.0ms (0.6%)

Memory

-4.9MiB live, 40.2MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
82.5%	2	`(*.f64 b b)`
78.1%	2	`(*.f64 a a)`
96.8%	2	`(-.f64 (.f64 a a) (.f64 b b))`
78.1%	2	`a`
82.5%	2	`b`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.4%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	b
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 b b)
1.0ms	a
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
48.7%	1	`(*.f64 a a)`
48.7%	1	`a`
48.7%	1	`(*.f64 b b)`
48.7%	1	`b`
48.7%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.562253e-318	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations19.0ms (0.8%)

Memory

-28.5MiB live, 32.1MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess29.0ms (1.2%)

Memory

-5.6MiB live, 84.4MiB allocated; 10ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 156 to 136 computations (12.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (62.1%)

preprocess80.0ms (3.3%)

series4.0ms (0.2%)

rewrite80.0ms (3.3%)

eval14.0ms (0.6%)

prune6.0ms (0.2%)

series7.0ms (0.3%)

rewrite436.0ms (18.1%)

eval181.0ms (7.6%)

prune13.0ms (0.6%)

regimes19.0ms (0.8%)

regimes14.0ms (0.6%)

regimes9.0ms (0.4%)

bsearch0.0ms (0%)

derivations19.0ms (0.8%)

preprocess29.0ms (1.2%)

end0.0ms (0%)

Profiling