Expression 4, p15

Time bar (total: 7.2s)

analyze16.0ms (0.2%)

Memory
29.7MiB live, 29.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
87.5%0%0%100%0%0%0%8
93.8%0%0%100%0%0%0%9
93.8%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
96.9%0%0%100%0%0%0%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.3s (31.4%)

Memory
19.8MiB live, 1 151.0MiB allocated
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-add: 1.1s (66.3% of total)
ival-mult: 226.0ms (14.1% of total)
const: 155.0ms (9.7% of total)
ival-<=: 119.0ms (7.4% of total)
ival-and: 23.0ms (1.4% of total)
exact: 13.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess80.0ms (1.1%)

Memory
11.0MiB live, 50.1MiB allocated
Algorithm
2×egg-herbie
Rules
570×distribute-rgt-in
516×unsub-neg
444×distribute-lft-in
290×associate-+l-
284×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
16142
221642
354242
4108642
5197342
6278942
7293542
8293542
9293542
10297742
11299342
047
1117
2257
3537
4767
5927
61017
71077
01077
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (+ a b) (+ a b))
Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))
Call 2
Inputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (+ a (neg b)) (+ a (neg b)))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (+ b a) (+ b a))
Outputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (- b a) (- b a))
(* (+ a (neg b)) (+ a (neg b)))
(* (- b a) (- b a))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(* (- b a) (- a b))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (- b a) (- a b))
(* (+ b a) (+ b a))
(* (+ a b) (+ a b))
Symmetry

(sort a b)

explain50.0ms (0.7%)

Memory
-16.8MiB live, 115.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 a b)
00-0-(*.f64 (+.f64 a b) (+.f64 a b))
00-0-a
00-0-b
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (66.5% of total)
ival-add: 4.0ms (29.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify10.0ms (0.1%)

Memory
-18.7MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 a b)
✓cost-diff0
(*.f64 (+.f64 a b) (+.f64 a b))
Rules
124×accelerator-lowering-fma.f32
124×accelerator-lowering-fma.f64
86×+-lowering-+.f64
86×+-lowering-+.f32
48×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
11112
22512
35312
47612
59212
610112
710712
010712
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b
Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(+ a b)
(+.f64 a b)
a
b

localize17.0ms (0.2%)

Memory
-3.7MiB live, 37.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a b)
✓accuracy100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
Samples
12.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (32.5% of total)
ival-mult: 1.0ms (32.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (* (+ a b) (+ a b))>
#<alt (+ a b)>
Outputs
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
b
@-inf
(* (+ a b) (+ a b))
0.0ms
a
@inf
(* (+ a b) (+ a b))
0.0ms
a
@-inf
(* (+ a b) (+ a b))
0.0ms
a
@0
(* (+ a b) (+ a b))
0.0ms
b
@inf
(* (+ a b) (+ a b))

rewrite495.0ms (6.9%)

Memory
9.3MiB live, 794.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 646×*-lowering-*.f32
5 646×*-lowering-*.f64
4 194×accelerator-lowering-fma.f32
4 194×accelerator-lowering-fma.f64
3 878×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1268
22188
328008
091338
Stop Event
1×iter limit
1×node limit
Counts
2 → 989
Calls
Call 1
Inputs
(* (+ a b) (+ a b))
(+ a b)
Outputs
(+.f64 (*.f64 a a) (fma.f64 a b (*.f64 b (+.f64 a b))))
(+.f64 (*.f64 b b) (fma.f64 a b (*.f64 a (+.f64 a b))))
(+.f64 (*.f64 a b) (fma.f64 a a (*.f64 b (+.f64 a b))))
(+.f64 (*.f64 a b) (fma.f64 b b (*.f64 a (+.f64 a b))))
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
(+.f64 (*.f64 b (+.f64 a b)) (*.f64 a (+.f64 a b)))
(+.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 a b))
(+.f64 (fma.f64 a (+.f64 a b) (*.f64 a b)) (*.f64 b b))
(+.f64 (fma.f64 b (+.f64 a b) (*.f64 a b)) (*.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 a b)) (log.f64 (+.f64 a b))))
(-.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 a (*.f64 a (+.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 a a (fma.f64 a b (*.f64 b (+.f64 a b))))
(fma.f64 a b (fma.f64 a a (*.f64 b (+.f64 a b))))
(fma.f64 a b (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 b a (fma.f64 a a (*.f64 b (+.f64 a b))))
(fma.f64 b a (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 b b (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 b (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) a) (*.f64 b (+.f64 a b)))
(fma.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) b) (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (*.f64 b (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (*.f64 a (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 b (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 a (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (+.f64 a b)))
(fma.f64 (*.f64 b (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (*.f64 (-.f64 b a) (*.f64 b (-.f64 b a))))))) (fma.f64 (*.f64 b (-.f64 b a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 b (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 b (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (*.f64 (-.f64 b a) (*.f64 b (-.f64 b a))))))) (fma.f64 (*.f64 b (-.f64 b a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 (*.f64 b (+.f64 a b)) (-.f64 (*.f64 b (+.f64 a b)) (*.f64 a (+.f64 a b))) (*.f64 (+.f64 a b) (*.f64 a (*.f64 a (+.f64 a b))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 (+.f64 a b) (*.f64 b (*.f64 b (+.f64 a b))) (-.f64 (*.f64 (+.f64 a b) (*.f64 a (*.f64 a (+.f64 a b)))) (*.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)) (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (+.f64 a b)) (-.f64 (*.f64 b (+.f64 a b)) (*.f64 a (+.f64 a b))) (*.f64 (+.f64 a b) (*.f64 a (*.f64 a (+.f64 a b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (-.f64 a b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b (*.f64 (+.f64 a b) (-.f64 a b))))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (-.f64 a b) (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)))
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(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (+.f64 a b))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (*.f64 (-.f64 b a) (*.f64 b (-.f64 b a))))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 b (-.f64 b a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))))
(*.f64 (pow.f64 (/.f64 (-.f64 a b) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (-.f64 a b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (exp.f64 (log.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
(*.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 a b)))))

simplify294.0ms (4.1%)

Memory
-18.6MiB live, 368.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 026×accelerator-lowering-fma.f32
7 026×accelerator-lowering-fma.f64
2 898×*-lowering-*.f32
2 898×*-lowering-*.f64
1 650×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
1193264
2490264
31595252
43905252
56954252
08103222
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow a 2))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)

eval157.0ms (2.2%)

Memory
43.2MiB live, 424.4MiB allocated
Compiler

Compiled 53 466 to 2 965 computations (94.5% saved)

prune177.0ms (2.5%)

Memory
-16.6MiB live, 312.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 14941 153
Fresh000
Picked011
Done000
Total1 14951 154
Accuracy
100.0%
Counts
1 154 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
▶99.7%
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
▶98.7%
(fma.f64 b b #s(literal 0 binary64))
✓100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
▶98.7%
(*.f64 (+.f64 a b) b)
Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify11.0ms (0.2%)

Memory
-22.9MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 a (+.f64 a b))
✓cost-diff0
(+.f64 a b)
✓cost-diff384
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
✓cost-diff0
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 b b #s(literal 0 binary64))
✓cost-diff-64
(*.f64 (+.f64 a b) b)
✓cost-diff0
(+.f64 a b)
Rules
162×accelerator-lowering-fma.f32
162×accelerator-lowering-fma.f64
130×+-lowering-+.f64
130×+-lowering-+.f32
72×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
13248
26448
39148
413648
515448
015446
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a b) b)
(+ a b)
a
b
(+ (* b b) 0)
b
0
(+ (* b (+ (* 2 a) b)) 0)
b
(+ (* 2 a) b)
2
a
0
(+ (* (+ a b) b) (* a (+ a b)))
(+ a b)
a
b
(* a (+ a b))
Outputs
(* (+ a b) b)
(fma.f64 b (+.f64 a b) #s(literal 0 binary64))
(+ a b)
(+.f64 a b)
a
b
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(+ (* b (+ (* 2 a) b)) 0)
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
b
(+ (* 2 a) b)
(fma.f64 a #s(literal 2 binary64) b)
2
#s(literal 2 binary64)
a
0
#s(literal 0 binary64)
(+ (* (+ a b) b) (* a (+ a b)))
(fma.f64 (+.f64 a b) (+.f64 a b) #s(literal 0 binary64))
(+ a b)
(+.f64 a b)
a
b
(* a (+ a b))
(fma.f64 a (+.f64 a b) #s(literal 0 binary64))

localize38.0ms (0.5%)

Memory
35.2MiB live, 72.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a b)
✓accuracy100.0%
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓accuracy100.0%
(*.f64 a (+.f64 a b))
✓accuracy100.0%
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) a b)
✓accuracy100.0%
(fma.f64 b b #s(literal 0 binary64))
✓accuracy100.0%
(+.f64 a b)
✓accuracy100.0%
(*.f64 (+.f64 a b) b)
Samples
24.0ms256×0valid
Compiler

Compiled 53 to 16 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.5% of total)
ival-add: 6.0ms (46.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-21.2MiB live, 13.7MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+ a b)>
#<alt (* (+ a b) b)>
#<alt (+ (* b b) 0)>
#<alt (+ (* b (+ (* 2 a) b)) 0)>
#<alt (+ (* 2 a) b)>
#<alt (+ (* (+ a b) b) (* a (+ a b)))>
#<alt (* a (+ a b))>
Outputs
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<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 (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* a b)>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (* a b)>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+ (* b (+ (* 2 a) b)) 0)
0.0ms
b
@-inf
(+ (* b (+ (* 2 a) b)) 0)
0.0ms
b
@-inf
(* (+ a b) b)
0.0ms
a
@inf
(+ (* b (+ (* 2 a) b)) 0)
0.0ms
a
@0
(+ (* b (+ (* 2 a) b)) 0)

rewrite655.0ms (9.1%)

Memory
20.9MiB live, 993.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
16 048×accelerator-lowering-fma.f32
16 048×accelerator-lowering-fma.f64
5 596×*-lowering-*.f32
5 596×*-lowering-*.f64
3 504×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
18635
291433
0869231
Stop Event
1×iter limit
1×node limit
Counts
7 → 803
Calls
Call 1
Inputs
(+ a b)
(* (+ a b) b)
(+ (* b b) 0)
(+ (* b (+ (* 2 a) b)) 0)
(+ (* 2 a) b)
(+ (* (+ a b) b) (* a (+ a b)))
(* a (+ a b))
Outputs
(+.f64 a b)
(+.f64 b a)
(+.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b))))
(-.f64 (+.f64 a b) (/.f64 #s(literal 0 binary64) (-.f64 a b)))
(-.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 b a)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 b a)))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) a)
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (-.f64 b a))
(/.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (-.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (-.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 a b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)) (*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b))) (*.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b)))) (+.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 a b))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal -1 binary64))
(*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 a b))))
(*.f64 #s(literal 1 binary64) (+.f64 a b))
(+.f64 (fma.f64 b (+.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a b))
(+.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(+.f64 #s(literal 0 binary64) (fma.f64 b (+.f64 a b) #s(literal 0 binary64)))
(+.f64 (*.f64 a b) (fma.f64 b b #s(literal 0 binary64)))
(+.f64 (fma.f64 a b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(-.f64 (fma.f64 b (+.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 a b (fma.f64 b b #s(literal 0 binary64)))
(fma.f64 b a (fma.f64 b b #s(literal 0 binary64)))
(fma.f64 b b (*.f64 a b))
(fma.f64 b b (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 b (+.f64 a b) #s(literal 0 binary64))
(fma.f64 b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (+.f64 a b) b #s(literal 0 binary64))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a b))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) b) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a b))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a b))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)) (*.f64 a b))
(fma.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a b))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 b (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (*.f64 a b))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a b))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) b) (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a b))
(fma.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 a b))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 a b)))
(fma.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) (/.f64 b b) (*.f64 a b))
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(/.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (fma.f64 b (*.f64 (+.f64 a b) (fma.f64 b (+.f64 a b) #s(literal 0 binary64))) (*.f64 (+.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (+.f64 a b))) #s(literal -1 binary64))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (+.f64 a b) (fma.f64 b (+.f64 a b) #s(literal 0 binary64))) (*.f64 (+.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 (+.f64 a b) (+.f64 a b))) (*.f64 (fma.f64 b (+.f64 a b) #s(literal 0 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))))
(*.f64 (fma.f64 b (*.f64 (+.f64 a b) (fma.f64 b (+.f64 a b) #s(literal 0 binary64))) (*.f64 (+.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))))) (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (+.f64 a b) (fma.f64 b (+.f64 a b) #s(literal 0 binary64))) (*.f64 (+.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))))))))
(*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) (+.f64 a b)))
(*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 (+.f64 a b) (fma.f64 b (+.f64 a b) #s(literal 0 binary64))) (*.f64 (+.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))))))))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (+.f64 a b)))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))))
(*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (+.f64 a b))
(*.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(*.f64 (*.f64 (+.f64 a b) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(+.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a b))
(+.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 a (-.f64 a b))) (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64))) (*.f64 a (-.f64 a b))))
(fma.f64 a a (*.f64 a b))
(fma.f64 a b (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b a (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 a b))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (+.f64 a b)) (*.f64 a (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))) (*.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))) (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a))))
(/.f64 (*.f64 (*.f64 a (+.f64 a b)) (*.f64 a (-.f64 a b))) (*.f64 a (-.f64 a b)))
(/.f64 (*.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (-.f64 a b))
(/.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) a) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (-.f64 a b))
(/.f64 (neg.f64 (fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 a b)) (*.f64 a (-.f64 a b)))) (neg.f64 (*.f64 a (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) a)) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.f64 (fma.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a (*.f64 b (*.f64 a b)) (-.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64))) (*.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (-.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (*.f64 a (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 a (+.f64 a b))
(*.f64 (+.f64 a b) a)
(*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))) a))
(*.f64 (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a))
(*.f64 (fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (fma.f64 a a #s(literal 0 binary64)))))))
(*.f64 (*.f64 (*.f64 a (+.f64 a b)) (*.f64 a (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 a b))))
(*.f64 (*.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (*.f64 a (fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) a) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))

simplify576.0ms (8%)

Memory
16.5MiB live, 453.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 268×accelerator-lowering-fma.f32
10 268×accelerator-lowering-fma.f64
3 144×*-lowering-*.f32
3 144×*-lowering-*.f64
1 424×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097768
1316768
2839768
32387756
45061756
57550756
08025690
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(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)
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
Outputs
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(+ (* a b) (pow b 2))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(+ (* a b) (pow b 2))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(+ (* a b) (pow b 2))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* a (+ b (/ (pow b 2) a)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* a (+ b (/ (pow b 2) a)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* a (+ b (/ (pow b 2) a)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* b (+ a b))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* b (+ a b))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* b (+ a b))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (/ a b)))
(fma.f64 b (+.f64 b a) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
b
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
(* a (+ 2 (/ b a)))
(fma.f64 a #s(literal 2 binary64) b)
(* a (+ 2 (/ b a)))
(fma.f64 a #s(literal 2 binary64) b)
(* a (+ 2 (/ b a)))
(fma.f64 a #s(literal 2 binary64) b)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 a #s(literal 2 binary64) b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 a #s(literal 2 binary64) b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 a #s(literal 2 binary64) b)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
(+ b (* 2 a))
(fma.f64 a #s(literal 2 binary64) b)
b
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 a #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 a #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 a #s(literal 2 binary64) b)
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 a #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 a #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 a #s(literal 2 binary64) b)
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow a 2))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (fma.f64 a a #s(literal 0 binary64)))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* a (+ a b))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* a (+ a b))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* a (+ a b))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ b a)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* a b) (pow a 2))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(+ (* a b) (pow a 2))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(+ (* a b) (pow a 2))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* b (+ a (/ (pow a 2) b)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* b (+ a (/ (pow a 2) b)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* b (+ a (/ (pow a 2) b)))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* a b)
(fma.f64 b a #s(literal 0 binary64))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(fma.f64 a (+.f64 b a) #s(literal 0 binary64))

eval146.0ms (2%)

Memory
-2.4MiB live, 366.0MiB allocated
Compiler

Compiled 27 437 to 1 690 computations (93.8% saved)

prune160.0ms (2.2%)

Memory
-14.4MiB live, 221.5MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 08321 085
Fresh000
Picked224
Done011
Total1 08551 090
Accuracy
100.0%
Counts
1 090 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
▶99.7%
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
✓98.7%
(*.f64 (+.f64 a b) b)
▶98.7%
(*.f64 b b)
Compiler

Compiled 41 to 21 computations (48.8% saved)

simplify4.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 a #s(literal 2 binary64) b)
✓cost-diff0
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓cost-diff0
(*.f64 b b)
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
18×accelerator-lowering-fma.f32
18×accelerator-lowering-fma.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
11019
21619
32419
42619
02617
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* b b)
b
(* (+ (* a 2) b) b)
(+ (* a 2) b)
a
2
b
Outputs
(* b b)
(*.f64 b b)
b
(* (+ (* a 2) b) b)
(*.f64 b (fma.f64 a #s(literal 2 binary64) b))
(+ (* a 2) b)
(fma.f64 a #s(literal 2 binary64) b)
a
2
#s(literal 2 binary64)
b

localize21.0ms (0.3%)

Memory
17.3MiB live, 55.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 a #s(literal 2 binary64) b)
✓accuracy100.0%
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓accuracy100.0%
(*.f64 b b)
Samples
14.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.5% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (* b b)>
#<alt (* (+ (* a 2) b) b)>
#<alt (+ (* a 2) b)>
Outputs
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(* (+ (* a 2) b) b)
0.0ms
a
@0
(* (+ (* a 2) b) b)
0.0ms
a
@inf
(* (+ (* a 2) b) b)
0.0ms
a
@-inf
(* (+ (* a 2) b) b)
0.0ms
b
@-inf
(* (+ (* a 2) b) b)

rewrite642.0ms (9%)

Memory
-14.9MiB live, 692.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 920×accelerator-lowering-fma.f32
11 920×accelerator-lowering-fma.f64
4 332×/-lowering-/.f32
4 332×/-lowering-/.f64
4 130×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
12315
216915
3162615
0827713
Stop Event
1×iter limit
1×node limit
Counts
3 → 256
Calls
Call 1
Inputs
(* b b)
(* (+ (* a 2) b) b)
(+ (* a 2) b)
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(+.f64 (*.f64 b b) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 b b) (neg.f64 (*.f64 b (*.f64 a #s(literal -2 binary64)))))
(+.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 4 binary64)))) (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 4 binary64)))) (fma.f64 b (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
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(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (fma.f64 a #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (-.f64 b (*.f64 a #s(literal 2 binary64))) (-.f64 b (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))))) (fma.f64 (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64)))) (-.f64 (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 (-.f64 b (*.f64 a #s(literal 2 binary64))) (-.f64 b (*.f64 a #s(literal 2 binary64))))))) (-.f64 (*.f64 a (*.f64 a #s(literal 4 binary64))) (*.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (fma.f64 b (fma.f64 a #s(literal 2 binary64) b) (*.f64 a (*.f64 a #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 512 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 a #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)) #s(literal -1/2 binary64)))

simplify217.0ms (3%)

Memory
-9.9MiB live, 275.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 690×*-lowering-*.f32
4 690×*-lowering-*.f64
2 808×accelerator-lowering-fma.f32
2 808×accelerator-lowering-fma.f64
1 176×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038288
1120288
2287288
3745288
41882288
53582288
65334288
76392288
86975288
08130252
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
Outputs
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* 2 (* a b))
(fma.f64 #s(literal 2 binary64) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* b (+ b (* 2 a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(fma.f64 #s(literal 2 binary64) a #s(literal 0 binary64))
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(fma.f64 #s(literal 2 binary64) a #s(literal 0 binary64))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(fma.f64 #s(literal 2 binary64) a #s(literal 0 binary64))
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
b
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)

eval201.0ms (2.8%)

Memory
3.7MiB live, 84.0MiB allocated
Compiler

Compiled 9 526 to 785 computations (91.8% saved)

prune39.0ms (0.5%)

Memory
25.0MiB live, 62.6MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3160316
Fresh000
Picked022
Done033
Total3165321
Accuracy
100.0%
Counts
321 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓99.7%
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
✓98.7%
(*.f64 (+.f64 a b) b)
✓98.7%
(*.f64 b b)
Compiler

Compiled 85 to 36 computations (57.6% saved)

regimes48.0ms (0.7%)

Memory
-15.1MiB live, 22.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
(*.f64 (+.f64 a b) b)
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
Outputs
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
Calls

4 calls:

39.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms
b
3.0ms
(+.f64 a b)
3.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1(+.f64 a b)
Compiler

Compiled 20 to 11 computations (45% saved)

regimes10.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
(*.f64 (+.f64 a b) b)
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
Calls

4 calls:

3.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
(+.f64 a b)
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1(+.f64 a b)
Compiler

Compiled 20 to 11 computations (45% saved)

regimes4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
(*.f64 (+.f64 a b) b)
Outputs
(*.f64 (+.f64 a b) b)
Calls

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
98.7%1a
98.7%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-36.9MiB live, 7.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
Outputs
(*.f64 b b)
Calls

2 calls:

5.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
98.7%1b
98.7%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory
12.9MiB live, 13.0MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11125
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 a b) b)
(*.f64 b b)
Outputs
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 a b))
(*.f64 b b)

soundness725.0ms (10.1%)

Memory
-10.7MiB live, 354.6MiB allocated
Rules
16 048×accelerator-lowering-fma.f32
16 048×accelerator-lowering-fma.f64
7 026×accelerator-lowering-fma.f32
7 026×accelerator-lowering-fma.f64
5 646×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
18635
291433
0869231
065264
1193264
2490264
31595252
43905252
56954252
08103222
048
1268
22188
328008
091338
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 57 to 24 computations (57.9% saved)

preprocess90.0ms (1.3%)

Memory
23.1MiB live, 96.6MiB allocated
Compiler

Compiled 178 to 70 computations (60.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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