Metrics for Octave 3.8, jcobi/2

analyze69.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	28.1%	71.9%	0%	0%	0%	0
0%	0%	28.1%	71.9%	0%	0%	0%	1
0%	0%	28.1%	71.9%	0%	0%	0%	2
25%	7%	21.1%	71.9%	0%	0%	0%	3
62.5%	17.5%	10.5%	71.9%	0%	0%	0%	4
75%	21.1%	7%	71.9%	0%	0%	0%	5
81.3%	22.8%	5.3%	71.9%	0%	0%	0%	6
82.8%	23.2%	4.8%	71.9%	0%	0%	0%	7
83.6%	23.5%	4.6%	71.9%	0%	0%	0%	8
87.1%	24.5%	3.6%	71.9%	0%	0%	0%	9
89.1%	25%	3.1%	71.9%	0%	0%	0%	10
91.5%	25.7%	2.4%	71.9%	0%	0%	0%	11
93.6%	26.3%	1.8%	71.9%	0%	0%	0%	12

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 11.0ms (28.4% of total)

ival-mult: 9.0ms (23.3% of total)

ival-div: 7.0ms (18.1% of total)

ival->: 7.0ms (18.1% of total)

ival-sub: 2.0ms (5.2% of total)

ival-and: 1.0ms (2.6% of total)

const: 1.0ms (2.6% of total)

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

sample2.9s (82.7%)

Results

1.7s	6480×	0	valid
348.0ms	1274×	1	valid
239.0ms	502×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-div: 587.0ms (43.2% of total)

ival-add: 299.0ms (22% of total)

ival-mult: 151.0ms (11.1% of total)

backward-pass: 105.0ms (7.7% of total)

ival->: 102.0ms (7.5% of total)

ival-sub: 74.0ms (5.4% of total)

const: 21.0ms (1.5% of total)

ival-and: 19.0ms (1.4% of total)

Bogosity

preprocess89.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-r`
601×	`associate-l`
488×	`distribute-rgt-in`
482×	`distribute-lft-in`
267×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1297
1	214	1201
2	756	1141
3	3977	1133

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 beta alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 i beta) (-.f64 beta i)) (+.f64 (+.f64 i beta) (.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 i beta) (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 i alpha)) (+.f64 (+.f64 alpha i) (.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 (+.f64 alpha i) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta (neg.f64 alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 beta alpha))) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (-.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (+.f64 beta (-.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha beta) (-.f64 (neg.f64 beta) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 alpha beta))) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 alpha beta) (/.f64 (-.f64 (neg.f64 beta) alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha beta)) (+.f64 (-.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 (+.f64 alpha beta) (*.f64 (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) beta) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) (neg.f64 i)) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta (.f64 i #s(literal -2 binary64)))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 i #s(literal -2 binary64))))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal -2 binary64) beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (+.f64 alpha (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta (neg.f64 alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 beta alpha))) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (-.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (+.f64 #s(literal -2 binary64) (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal -1 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha beta) (-.f64 (neg.f64 beta) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 alpha beta))) (+.f64 (.f64 #s(literal 2 binary64) i) (-.f64 alpha beta))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 alpha beta) (/.f64 (-.f64 (neg.f64 beta) alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha beta)) (+.f64 (-.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta))))) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 (+.f64 alpha beta) (*.f64 (-.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) beta) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) (neg.f64 i)) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) (neg.f64 i)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta (.f64 i #s(literal -2 binary64)))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 i #s(literal -2 binary64))))))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 i #s(literal -2 binary64) beta)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal -2 binary64) beta))))) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 i #s(literal -2 binary64) beta))) (+.f64 alpha (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64))))) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 beta alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 i beta) (-.f64 beta i)) (+.f64 (+.f64 i beta) (.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 i beta) (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 beta i) (-.f64 beta i)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 alpha #s(literal 2 binary64))))) (+.f64 i (+.f64 beta (.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta i) (/.f64 (-.f64 beta i) (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i)))) (+.f64 #s(literal 2 binary64) (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta i) (/.f64 (-.f64 beta i) (*.f64 (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i)) (+.f64 #s(literal 2 binary64) (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta i) (+.f64 #s(literal 2 binary64) (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i)))) (/.f64 (+.f64 beta i) (fma.f64 alpha #s(literal 2 binary64) (+.f64 beta i))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 i alpha)) (+.f64 (+.f64 alpha i) (.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 (+.f64 alpha i) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha i) (-.f64 i alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 i (.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 i (.f64 beta #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 (-.f64 i alpha) (fma.f64 beta #s(literal 2 binary64) (+.f64 alpha i))) (+.f64 alpha (+.f64 i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha i) (/.f64 (-.f64 i alpha) (*.f64 (+.f64 alpha (fma.f64 beta #s(literal 2 binary64) i)) (+.f64 alpha (+.f64 i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha i) (/.f64 (-.f64 i alpha) (*.f64 (+.f64 alpha (fma.f64 beta #s(literal 2 binary64) i)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))

explain297.0ms (8.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
84	0	-	-	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
57	1	(1.4299888756445676e+175 1.5828572497685368e-110 7.731363012378267e+171)	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	-	`(-.f64 beta alpha)`
0	0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	0	-	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`i`
0	0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	0	-	-	`alpha`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`beta`
0	0	-	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Results

54.0ms	398×	0	valid
24.0ms	80×	1	valid
17.0ms	34×	2	valid

Compiler

Compiled 306 to 47 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 18.0ms (36.1% of total)

ival-div: 13.0ms (26.1% of total)

ival-mult: 9.0ms (18% of total)

backward-pass: 5.0ms (10% of total)

ival-sub: 4.0ms (8% of total)

const: 1.0ms (2% of total)

eval1.0ms (0%)

Compiler: Compiled 111 to 38 computations (65.8% saved)

prune55.0ms (1.5%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	68.5%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	64.2%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.5%	(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	63.6%	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 304 to 158 computations (48% saved)

simplify97.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
✓	cost-diff	(+.f64 alpha beta)
✓	cost-diff	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
✓	cost-diff	(+.f64 alpha beta)
✓	cost-diff	(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	(*.f64 #s(literal 2 binary64) i)
✓	cost-diff	(-.f64 beta alpha)
✓	cost-diff	(+.f64 alpha beta)
✓	cost-diff	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
✓	cost-diff	(*.f64 #s(literal 2 binary64) i)
✓	cost-diff	(-.f64 beta alpha)
✓	cost-diff	(+.f64 alpha beta)
✓	cost-diff	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
✓	cost-diff	(/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
✓	cost-diff	(-.f64 beta alpha)
✓	cost-diff	(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
✓	cost-diff	(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))

Rules

845×	`distribute-lft-in`
844×	`distribute-rgt-in`
828×	`fma-define`
711×	`distribute-neg-in`
517×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	2507
1	138	2463
2	453	2463
3	1804	2463
4	3947	2463
5	6092	2463

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(-.f64 beta alpha)
beta
alpha
(/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(+.f64 alpha beta)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
#s(literal 2 binary64)
i
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
i
(+.f64 beta (+.f64 alpha (*.f64 #s(literal 2 binary64) i)))
(+.f64 alpha (*.f64 #s(literal 2 binary64) i))
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
i
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(+.f64 alpha beta)
alpha
beta
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(-.f64 beta alpha)
(*.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) i beta)
i
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 1 binary64)
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(+.f64 alpha beta)
alpha
beta
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(-.f64 beta alpha)
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))
(-.f64 beta alpha)
beta
alpha
(/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))
(+.f64 alpha beta)
(+.f64 beta alpha)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))
#s(literal 2 binary64)
i
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha))
(+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
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localize3.0ms (0.1%)

Results

1.0ms

2×

valid

Compiler

Compiled 655 to 45 computations (93.1% saved)

Precisions

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

ival-div: 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)

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

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

compiled-spec: 0.0ms (0% of total)

end0.0ms (0%)

Precisions: Click to see histograms. Total time spent on operations: 0.0ms
backward-pass: 0.0ms (0% of total)
compiled-spec: 0.0ms (0% of total)

analyze69.0ms (2%)

sample2.9s (82.7%)

preprocess89.0ms (2.5%)

explain297.0ms (8.4%)

eval1.0ms (0%)

prune55.0ms (1.5%)

simplify97.0ms (2.7%)

localize3.0ms (0.1%)

end0.0ms (0%)

Profiling