Eccentricity of an ellipse

Time bar (total: 11.4s)

analyze17.0ms (0.2%)

Memory
-19.6MiB live, 17.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.2s (10.8%)

Memory
21.8MiB live, 1 363.6MiB allocated
Samples
803.0ms8 256×0valid
56.0ms802×0invalid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-mult: 137.0ms (25.3% of total)
ival-sqrt: 86.0ms (15.9% of total)
ival-<=: 83.0ms (15.3% of total)
ival-div: 74.0ms (13.7% of total)
ival-fabs: 72.0ms (13.3% of total)
ival-sub: 56.0ms (10.3% of total)
ival-and: 18.0ms (3.3% of total)
exact: 11.0ms (2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess387.0ms (3.4%)

Memory
4.0MiB live, 526.2MiB allocated
Algorithm
2×egg-herbie
Rules
9 090×accelerator-lowering-fma.f32
9 090×accelerator-lowering-fma.f64
4 304×*-lowering-*.f32
4 304×*-lowering-*.f64
1 438×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02680
19468
236768
3259468
4642968
0813
12411
26911
319311
447811
5171811
6563111
0816710
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
Outputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))))
Call 2
Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a)))))
(sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a))))
(neg (sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a))))))
(neg (sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a)))))
(sqrt (fabs (/ (- (* b b) (* a a)) (* b b))))
Outputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
(sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a)))))
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
(sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a))))
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
(neg (sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a))))))
(neg (sqrt (fabs (/ (- a (* b (/ b a))) a))))
(neg (sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a)))))
(neg (sqrt (fabs (/ (- a (* b (/ b a))) a))))
(sqrt (fabs (/ (- (* b b) (* a a)) (* b b))))
(sqrt (fabs (/ (- b (* a (/ a b))) b)))
Symmetry

(abs a)

(abs b)

explain126.0ms (1.1%)

Memory
23.1MiB live, 180.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
00-0-(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
00-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))u/u670
↳(*.f64 b b)underflow183
↳(-.f64 (*.f64 a a) (*.f64 b b))underflow67
↳(*.f64 a a)underflow67
↳(*.f64 a a)underflow67
Confusion
Predicted +Predicted -
+670
-0189
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-00189
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0189
167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.4% of total)
ival-div: 3.0ms (16% of total)
ival-sqrt: 3.0ms (16% of total)
ival-sub: 2.0ms (10.7% of total)
ival-fabs: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Compiler

Compiled 13 to 9 computations (30.8% saved)

prune2.0ms (0%)

Memory
-36.1MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify483.0ms (4.2%)

Memory
22.7MiB live, 616.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b (/.f64 b (*.f64 a a)))
✓cost-diff0
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
✓cost-diff0
(fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))))
Rules
14 320×accelerator-lowering-fma.f32
14 320×accelerator-lowering-fma.f64
2 294×--lowering--.f32
2 294×--lowering--.f64
2 216×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0948
11548
22248
32648
43548
55348
69248
718748
842248
995748
10323248
11548248
12766748
0811245
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(fabs (+ (* b (/ b (* a a))) -1))
(+ (* b (/ b (* a a))) -1)
(* b (/ b (* a a)))
b
(/ b (* a a))
(* a a)
a
-1
Outputs
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fabs (+ (* b (/ b (* a a))) -1))
(fabs.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(+ (* b (/ b (* a a))) -1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(* b (/ b (* a a)))
(/.f64 (*.f64 b b) (*.f64 a a))
b
(/ b (* a a))
(/.f64 (/.f64 b a) a)
(* a a)
(*.f64 a a)
a
-1
#s(literal -1 binary64)

localize45.0ms (0.4%)

Memory
-4.9MiB live, 34.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))))
✓accuracy99.6%
(*.f64 b (/.f64 b (*.f64 a a)))
✓accuracy73.8%
(/.f64 b (*.f64 a a))
Samples
35.0ms256×0valid
Compiler

Compiled 50 to 11 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 21.0ms (77.2% of total)
ival-div: 2.0ms (7.4% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-add: 1.0ms (3.7% of total)
ival-fabs: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (sqrt (fabs (+ (* b (/ b (* a a))) -1)))>
#<alt (fabs (+ (* b (/ b (* a a))) -1))>
#<alt (+ (* b (/ b (* a a))) -1)>
#<alt (* b (/ b (* a a)))>
#<alt (/ b (* a a))>
Outputs
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/ b (* a a))
1.0ms
b
@inf
(+ (* b (/ b (* a a))) -1)
0.0ms
b
@inf
(/ b (* a a))
0.0ms
a
@0
(+ (* b (/ b (* a a))) -1)
0.0ms
b
@0
(+ (* b (/ b (* a a))) -1)

rewrite370.0ms (3.3%)

Memory
0.0MiB live, 469.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 154×/-lowering-/.f32
4 154×/-lowering-/.f64
3 048×accelerator-lowering-fma.f32
3 048×accelerator-lowering-fma.f64
2 790×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942
14242
226934
3356834
0894934
Stop Event
1×iter limit
1×node limit
Counts
5 → 346
Calls
Call 1
Inputs
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(fabs (+ (* b (/ b (* a a))) -1))
(+ (* b (/ b (* a a))) -1)
(* b (/ b (* a a)))
(/ b (* a a))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (log.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b)))))) (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b))))))) (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b))))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b)))))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b))))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))))))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (/.f64 a (/.f64 b a)) (/.f64 (*.f64 a a) (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal 1 binary64))))))
(pow.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
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(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b (*.f64 a a)))
(*.f64 (exp.f64 (log.f64 b)) (/.f64 b (*.f64 a a)))
(*.f64 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))))
(exp.f64 (log.f64 (/.f64 b (*.f64 a a))))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 b (*.f64 a a))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (/.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b a) a)
(/.f64 (/.f64 b a) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 a b)))
(/.f64 (/.f64 b #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (/.f64 b #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(pow.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(pow.f64 (/.f64 a (/.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (/.f64 b a)) (/.f64 a (/.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 a (/.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (pow.f64 (/.f64 a (/.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (/.f64 b a)) #s(literal -1/2 binary64)))

simplify339.0ms (3%)

Memory
8.6MiB live, 362.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 134×accelerator-lowering-fma.f32
8 134×accelerator-lowering-fma.f64
3 620×*-lowering-*.f32
3 620×*-lowering-*.f64
1 970×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019978
133978
273978
3165978
4395978
5946978
62766978
75753978
08192912
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
Outputs
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))

eval69.0ms (0.6%)

Memory
-10.4MiB live, 105.3MiB allocated
Compiler

Compiled 14 712 to 1 474 computations (90% saved)

prune107.0ms (0.9%)

Memory
-6.1MiB live, 106.4MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New4651466
Fresh000
Picked101
Done000
Total4661467
Accuracy
100.0%
Counts
467 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify522.0ms (4.6%)

Memory
-4.4MiB live, 626.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 b (/.f64 a (/.f64 b a)))
✓cost-diff0
(+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))
✓cost-diff0
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
Rules
17 418×accelerator-lowering-fma.f32
17 418×accelerator-lowering-fma.f64
2 842×*-lowering-*.f32
2 842×*-lowering-*.f64
2 804×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01068
12068
25668
321368
469264
5225964
6767764
0874459
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
(* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1))
(+ (/ b (/ a (/ b a))) -1)
(/ b (/ a (/ b a)))
b
(/ a (/ b a))
a
(/ b a)
-1
1/4
Outputs
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1))
(*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))
(+ (/ b (/ a (/ b a))) -1)
(+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))
(/ b (/ a (/ b a)))
(/.f64 b (/.f64 a (/.f64 b a)))
b
(/ a (/ b a))
(/.f64 a (/.f64 b a))
a
(/ b a)
(/.f64 b a)
-1
#s(literal -1 binary64)
1/4
#s(literal 1/4 binary64)

localize45.0ms (0.4%)

Memory
11.6MiB live, 51.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)))
✓accuracy99.7%
(/.f64 b (/.f64 a (/.f64 b a)))
✓accuracy99.6%
(/.f64 a (/.f64 b a))
Samples
32.0ms256×0valid
Compiler

Compiled 70 to 12 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (35.1% of total)
ival-pow: 5.0ms (35.1% of total)
ival-mult: 2.0ms (14.1% of total)
ival-add: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (0.7%)

Memory
-16.0MiB live, 100.9MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)>
#<alt (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1))>
#<alt (+ (/ b (/ a (/ b a))) -1)>
#<alt (/ b (/ a (/ b a)))>
#<alt (/ a (/ b a))>
Outputs
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))>
#<alt (+ (sqrt -1) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))>
#<alt (+ (sqrt -1) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow a 4) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))>
#<alt (/ b a)>
#<alt (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a))))>
#<alt (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a))))))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1/2 (/ (pow a 2) b))) a)>
#<alt (/ (+ b (* (pow a 2) (- (* -1/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ 1 b))))) a)>
#<alt (/ (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1/16 (/ (pow a 2) (pow b 5))) (* 1/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 b))))) a)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))>
#<alt (+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))>
#<alt (+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))>
#<alt (/ (pow b 4) (pow a 4))>
#<alt (* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))>
#<alt (/ (pow b 4) (pow a 4))>
#<alt (* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))>
#<alt (/ (pow b 4) (pow a 4))>
#<alt (/ (+ (* -2 (* (pow a 2) (pow b 2))) (pow b 4)) (pow a 4))>
#<alt (/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))>
#<alt (/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))>
#<alt (+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))>
#<alt (+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
Calls

30 calls:

TimeVariablePointExpression
52.0ms
b
@0
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
10.0ms
a
@0
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
9.0ms
a
@inf
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
1.0ms
b
@inf
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
0.0ms
a
@inf
(* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1))

rewrite395.0ms (3.5%)

Memory
21.5MiB live, 650.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 700×accelerator-lowering-fma.f32
7 700×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
4 412×*-lowering-*.f64
3 282×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
16335
255734
0839434
Stop Event
1×iter limit
1×node limit
Counts
5 → 696
Calls
Call 1
Inputs
(pow (* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1)) 1/4)
(* (+ (/ b (/ a (/ b a))) -1) (+ (/ b (/ a (/ b a))) -1))
(+ (/ b (/ a (/ b a))) -1)
(/ b (/ a (/ b a)))
(/ a (/ b a))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64))))
(sqrt.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))
(pow.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a b))) #s(literal -1 binary64)) a)
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64))
(pow.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 b (/.f64 b (*.f64 a a)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (/.f64 (*.f64 a a) b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 (*.f64 a a) b))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a a) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 (*.f64 a a) b))) #s(literal -1 binary64))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 (/.f64 b (*.f64 a a)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)))
(*.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) a))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a b))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 b (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal -1 binary64) a) a))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 b (/.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)) #s(literal 1 binary64)))
(/.f64 a (/.f64 b a))
(/.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a)))
(/.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a a) b)
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64))
(pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a (/.f64 a b))
(*.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(*.f64 (/.f64 a b) a)
(*.f64 (/.f64 a b) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) a)

simplify415.0ms (3.6%)

Memory
27.3MiB live, 620.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 362×accelerator-lowering-fma.f32
13 362×accelerator-lowering-fma.f64
4 594×*-lowering-*.f32
4 594×*-lowering-*.f64
2 244×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01411332
13521332
210821319
335211282
464921270
082261193
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+ (sqrt -1) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))
(+ (sqrt -1) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow a 4) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))
(/ b a)
(* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a)))
(* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a))))
(* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a))))))
(/ b a)
(/ (+ b (* -1/2 (/ (pow a 2) b))) a)
(/ (+ b (* (pow a 2) (- (* -1/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ 1 b))))) a)
(/ (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1/16 (/ (pow a 2) (pow b 5))) (* 1/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))
(/ (pow b 4) (pow a 4))
(* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(/ (pow b 4) (pow a 4))
(* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(/ (pow b 4) (pow a 4))
(/ (+ (* -2 (* (pow a 2) (pow b 2))) (pow b 4)) (pow a 4))
(/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))
(/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))))
(+ (sqrt -1) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))))
(+ (sqrt -1) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow a 4) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* (pow a 2) (sqrt -1)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/16 binary64))) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(/ b a)
(/.f64 b a)
(* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a)))
(+.f64 (/.f64 b a) (*.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 b (+.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 b (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (*.f64 b (+.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (pow a 3) (pow b 4))) (+ (* -1/16 (/ (pow a 5) (pow b 6))) (/ 1 a))))))
(+.f64 (*.f64 b (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))
(/ b a)
(/.f64 b a)
(/ (+ b (* -1/2 (/ (pow a 2) b))) a)
(/.f64 (+.f64 b (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 a b)))) a)
(/ (+ b (* (pow a 2) (- (* -1/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ 1 b))))) a)
(/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a a) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 b b))))) a)
(/ (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1/16 (/ (pow a 2) (pow b 5))) (* 1/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(/.f64 (+.f64 b (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -1/16 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)))) a)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))
(+.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))))
(+ (sqrt -1) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt -1)))))))
(+.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a))
(+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* (pow b 2) (- (/ (pow b 2) (pow a 4)) (* 2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(/ (pow b 4) (pow a 4))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a)))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a)))))))
(/ (pow b 4) (pow a 4))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (- (/ 1 (pow a 4)) (* 2 (/ 1 (* (pow a 2) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a)))))))
(* (pow b 4) (- (+ (/ 1 (pow a 4)) (/ 1 (pow b 4))) (/ 2 (* (pow a 2) (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 a a)))))))
(/ (pow b 4) (pow a 4))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(/ (+ (* -2 (* (pow a 2) (pow b 2))) (pow b 4)) (pow a 4))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal -2 binary64))))) (*.f64 a (*.f64 a (*.f64 a a))))
(/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))
(/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -2 binary64))))) (*.f64 a (*.f64 a (*.f64 a a))))
(/ (+ (* (pow a 2) (+ (* -2 (pow b 2)) (pow a 2))) (pow b 4)) (pow a 4))
(/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -2 binary64))))) (*.f64 a (*.f64 a (*.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (+ (* -2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)

eval210.0ms (1.9%)

Memory
-9.4MiB live, 296.6MiB allocated
Compiler

Compiled 44 376 to 3 035 computations (93.2% saved)

prune206.0ms (1.8%)

Memory
-14.9MiB live, 324.5MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1 12351 128
Fresh000
Picked011
Done000
Total1 12361 129
Accuracy
100.0%
Counts
1 129 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
✓100.0%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
▶98.3%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
▶98.2%
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
▶6.6%
(/.f64 b a)
▶6.5%
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify286.0ms (2.5%)

Memory
15.3MiB live, 370.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
✓cost-diff6464
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(/.f64 a b)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 a b))
✓cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(/.f64 b (/.f64 a (/.f64 b a)))
✓cost-diff0
(+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))
✓cost-diff0
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
✓cost-diff128
(*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64))
Rules
8 572×accelerator-lowering-fma.f32
8 572×accelerator-lowering-fma.f64
1 986×*-lowering-*.f32
1 986×*-lowering-*.f64
1 482×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023136
141134
284134
3168132
4315132
5606132
61169132
72896132
85423132
97673132
08014129
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)
(* (+ (/ b (/ a (/ b a))) -1) -1)
(+ (/ b (/ a (/ b a))) -1)
(/ b (/ a (/ b a)))
b
(/ a (/ b a))
a
(/ b a)
-1
1/4
(/ b a)
b
a
(- (* 1/2 (/ a b)) (/ b a))
(* 1/2 (/ a b))
1/2
(/ a b)
a
b
(/ b a)
(pow 1 1/4)
1
1/4
(pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)
(+ 1 (/ (* (/ (* b b) a) -2) a))
1
(/ (* (/ (* b b) a) -2) a)
(* (/ (* b b) a) -2)
(/ (* b b) a)
(* b b)
b
a
-2
1/4
Outputs
(pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (/.f64 b a)))) #s(literal 1/4 binary64))
(* (+ (/ b (/ a (/ b a))) -1) -1)
(-.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))
(+ (/ b (/ a (/ b a))) -1)
(+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))
(/ b (/ a (/ b a)))
(/.f64 b (/.f64 a (/.f64 b a)))
b
(/ a (/ b a))
(/.f64 a (/.f64 b a))
a
(/ b a)
(/.f64 b a)
-1
#s(literal -1 binary64)
1/4
#s(literal 1/4 binary64)
(/ b a)
(/.f64 b a)
b
a
(- (* 1/2 (/ a b)) (/ b a))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(* 1/2 (/ a b))
(*.f64 #s(literal 1/2 binary64) (/.f64 a b))
1/2
#s(literal 1/2 binary64)
(/ a b)
(/.f64 a b)
a
b
(/ b a)
(/.f64 b a)
(pow 1 1/4)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1/4
#s(literal 1/4 binary64)
(pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/4 binary64))
(+ 1 (/ (* (/ (* b b) a) -2) a))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))
1
#s(literal 1 binary64)
(/ (* (/ (* b b) a) -2) a)
(/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))
(* (/ (* b b) a) -2)
(*.f64 b (/.f64 #s(literal -2 binary64) (/.f64 a b)))
(/ (* b b) a)
(/.f64 (*.f64 b b) a)
(* b b)
(*.f64 b b)
b
a
-2
#s(literal -2 binary64)
1/4
#s(literal 1/4 binary64)

localize104.0ms (0.9%)

Memory
8.9MiB live, 126.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64))
✓accuracy80.3%
(/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)
✓accuracy73.8%
(/.f64 (*.f64 b b) a)
✓accuracy100.0%
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(/.f64 a b)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 a b))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
✓accuracy99.7%
(/.f64 b (/.f64 a (/.f64 b a)))
✓accuracy99.6%
(/.f64 a (/.f64 b a))
Samples
75.0ms254×0valid
0.0ms2×0invalid
Compiler

Compiled 140 to 25 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 14.0ms (31.8% of total)
ival-pow: 12.0ms (27.2% of total)
ival-div: 10.0ms (22.7% of total)
ival-mult: 6.0ms (13.6% of total)
ival-sub: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-5.2MiB live, 36.8MiB allocated
Counts
15 → 336
Calls
Call 1
Inputs
#<alt (* (+ (/ b (/ a (/ b a))) -1) -1)>
#<alt (pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)>
#<alt (+ (/ b (/ a (/ b a))) -1)>
#<alt (/ b (/ a (/ b a)))>
#<alt (/ b a)>
#<alt (- (* 1/2 (/ a b)) (/ b a))>
#<alt (* 1/2 (/ a b))>
#<alt (/ a b)>
#<alt (pow 1 1/4)>
#<alt (pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)>
#<alt (+ 1 (/ (* (/ (* b b) a) -2) a))>
#<alt (/ (* (/ (* b b) a) -2) a)>
#<alt (* (/ (* b b) a) -2)>
#<alt (/ a (/ b a))>
#<alt (/ (* b b) a)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* -3/32 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/128 (/ (pow b 2) (pow a 6))) (* 3/32 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2))))))>
#<alt (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (/ b a))>
#<alt (/ (- (* 1/2 (/ (pow a 2) b)) b) a)>
#<alt (/ (- (* 1/2 (/ (pow a 2) b)) b) a)>
#<alt (/ (- (* 1/2 (/ (pow a 2) b)) b) a)>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* -1 (/ b (pow a 2))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1 (/ b (pow a 2))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1 (/ b (pow a 2))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ a b))>
#<alt (* -1 (* a (- (/ b (pow a 2)) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (/ b (pow a 2)) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (/ b (pow a 2)) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* -1 (/ (pow b 2) a)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1 (/ (pow b 2) a)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1 (/ (pow b 2) a)) (* 1/2 a)) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (/ 1 a)))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (/ 1 a)))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (/ 1 a))))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* -3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/128 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/1024 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
Calls

84 calls:

TimeVariablePointExpression
15.0ms
b
@inf
(/ b a)
2.0ms
b
@inf
(pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)
2.0ms
b
@inf
(pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)
1.0ms
a
@0
(pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)
1.0ms
a
@0
(pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)

rewrite367.0ms (3.2%)

Memory
16.4MiB live, 437.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 344×accelerator-lowering-fma.f32
5 344×accelerator-lowering-fma.f64
4 986×*-lowering-*.f32
4 986×*-lowering-*.f64
4 972×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023111
113095
298594
0833992
Stop Event
1×iter limit
1×node limit
Counts
15 → 683
Calls
Call 1
Inputs
(* (+ (/ b (/ a (/ b a))) -1) -1)
(pow (* (+ (/ b (/ a (/ b a))) -1) -1) 1/4)
(+ (/ b (/ a (/ b a))) -1)
(/ b (/ a (/ b a)))
(/ b a)
(- (* 1/2 (/ a b)) (/ b a))
(* 1/2 (/ a b))
(/ a b)
(pow 1 1/4)
(pow (+ 1 (/ (* (/ (* b b) a) -2) a)) 1/4)
(+ 1 (/ (* (/ (* b b) a) -2) a))
(/ (* (/ (* b b) a) -2) a)
(* (/ (* b b) a) -2)
(/ a (/ b a))
(/ (* b b) a)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(+.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a)))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (/.f64 a #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a)))))) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))))))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a)))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64)) (*.f64 (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64))))
(pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log1p.f64 (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)))) (/.f64 (/.f64 (/.f64 (/.f64 b a) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))
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(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))
(/.f64 b (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b b)))))
(/.f64 (*.f64 b b) a)
(/.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (/.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))

simplify891.0ms (7.8%)

Memory
-84.2MiB live, 717.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 212×accelerator-lowering-fma.f32
14 212×accelerator-lowering-fma.f64
6 784×*-lowering-*.f32
6 784×*-lowering-*.f64
4 520×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02943733
18313586
223413316
364533236
083113130
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
1
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(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
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(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
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(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
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(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/128 (/ (pow b 2) (pow a 6))) (* 3/32 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2))))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))
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(exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))
1
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
1
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
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(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
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(/ b a)
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(* a (+ (* -1 (/ b (pow a 2))) (* 1/2 (/ 1 b))))
(* a (+ (* -1 (/ b (pow a 2))) (* 1/2 (/ 1 b))))
(* 1/2 (/ a b))
(* -1 (* a (- (/ b (pow a 2)) (* 1/2 (/ 1 b)))))
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1
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(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))
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(exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))
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1
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1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
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(+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))
1
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(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)))
(+ 1 (* (pow b 2) (- (* -3/32 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -3/32 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/4 binary64) (*.f64 a a)))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/128 (/ (pow b 2) (pow a 6))) (* 3/32 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -7/128 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 a a)))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))
(pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))
(+.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))) (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))) (+.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -7/128 binary64)) (pow.f64 b #s(literal 6 binary64)))))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))
(+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b)))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b)))) (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))
(+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))))) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -7/128 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/2 binary64))) (*.f64 a #s(literal -1/4 binary64))) (*.f64 b b)))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1/4 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/2 binary64))) (*.f64 a #s(literal -3/32 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1/4 binary64))) (*.f64 b b)) (*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -3/32 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/2 binary64))) (*.f64 a #s(literal -7/128 binary64))) (pow.f64 b #s(literal 6 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)) (/.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)) (+.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -7/128 binary64)) (/.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)) (/.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 a a)) (+.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -7/128 binary64)) (/.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 11/48 binary64))) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -2/3 binary64)) (pow.f64 a #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 11/48 binary64))) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -2/3 binary64)) (pow.f64 a #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -2 binary64))) (*.f64 a a))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -2 binary64))) (*.f64 a a))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -2 binary64))) (*.f64 a a))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) (pow a 2)))
(*.f64 b (*.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a))))
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(* -2 (/ (pow b 2) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)

eval173.0ms (1.5%)

Memory
6.3MiB live, 248.6MiB allocated
Compiler

Compiled 19 800 to 2 819 computations (85.8% saved)

prune114.0ms (1%)

Memory
-0.7MiB live, 197.0MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 11851 123
Fresh000
Picked415
Done011
Total1 12271 129
Accuracy
100.0%
Counts
1 129 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
✓100.0%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
▶98.3%
(pow.f64 (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
▶6.7%
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
✓6.6%
(/.f64 b a)
▶73.5%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
▶98.2%
#s(literal 1 binary64)
Compiler

Compiled 132 to 89 computations (32.6% saved)

simplify236.0ms (2.1%)

Memory
-12.5MiB live, 264.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 b a) (/.f64 a b))
✓cost-diff0
(+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))
✓cost-diff0
(pow.f64 (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
✓cost-diff64
(neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 b #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 b (*.f64 b #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
✓cost-diff0
(*.f64 a #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
✓cost-diff0
(*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
Rules
7 840×accelerator-lowering-fma.f32
7 840×accelerator-lowering-fma.f64
2 032×*-lowering-*.f32
2 032×*-lowering-*.f64
1 166×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026148
159146
2129146
3259146
4371146
5504146
6616146
7857146
81461146
93416146
106256146
08176142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (+ 1 (/ (* (/ b (/ a b)) -2) a)) 1/4)
(+ 1 (/ (* (/ b (/ a b)) -2) a))
1
(/ (* (/ b (/ a b)) -2) a)
(* (/ b (/ a b)) -2)
(/ b (/ a b))
b
(/ a b)
a
-2
1/4
1
(/ (* a 1/2) b)
(* a 1/2)
a
1/2
b
(+ 1 (/ (* b (* b -1/2)) (* a a)))
1
(/ (* b (* b -1/2)) (* a a))
(* b (* b -1/2))
b
(* b -1/2)
-1/2
(* a a)
a
(pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)
(neg (+ (/ (/ b a) (/ a b)) -1))
(+ (/ (/ b a) (/ a b)) -1)
(/ (/ b a) (/ a b))
(/ b a)
b
a
(/ a b)
-1
1/4
Outputs
(pow (+ 1 (/ (* (/ b (/ a b)) -2) a)) 1/4)
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a (/.f64 a b))))) #s(literal 1/4 binary64))
(+ 1 (/ (* (/ b (/ a b)) -2) a))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a (/.f64 a b)))))
1
#s(literal 1 binary64)
(/ (* (/ b (/ a b)) -2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a (/.f64 a b))))
(* (/ b (/ a b)) -2)
(*.f64 b (/.f64 #s(literal -2 binary64) (/.f64 a b)))
(/ b (/ a b))
(/.f64 b (/.f64 a b))
b
(/ a b)
(/.f64 a b)
a
-2
#s(literal -2 binary64)
1/4
#s(literal 1/4 binary64)
1
#s(literal 1 binary64)
(/ (* a 1/2) b)
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
b
(+ 1 (/ (* b (* b -1/2)) (* a a)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a (/.f64 a b)))))
1
#s(literal 1 binary64)
(/ (* b (* b -1/2)) (* a a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a (/.f64 a b))))
(* b (* b -1/2))
(*.f64 b (*.f64 b #s(literal -1/2 binary64)))
b
(* b -1/2)
(*.f64 b #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* a a)
(*.f64 a a)
a
(pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) #s(literal 1/4 binary64))
(neg (+ (/ (/ b a) (/ a b)) -1))
(-.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a (/.f64 a b))))
(+ (/ (/ b a) (/ a b)) -1)
(+.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal -1 binary64))
(/ (/ b a) (/ a b))
(/.f64 b (*.f64 a (/.f64 a b)))
(/ b a)
(/.f64 b a)
b
a
(/ a b)
(/.f64 a b)
-1
#s(literal -1 binary64)
1/4
#s(literal 1/4 binary64)

localize110.0ms (1%)

Memory
-13.0MiB live, 126.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))
✓accuracy100.0%
(neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64)))
✓accuracy100.0%
(pow.f64 (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
✓accuracy99.6%
(/.f64 (/.f64 b a) (/.f64 a b))
✓accuracy100.0%
(*.f64 b (*.f64 b #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 b #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 a a)
✓accuracy51.4%
(/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a))
✓accuracy100.0%
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
✓accuracy100.0%
(*.f64 a #s(literal 1/2 binary64))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64))
✓accuracy99.8%
(/.f64 b (/.f64 a b))
✓accuracy80.3%
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)
Samples
68.0ms254×0valid
0.0ms2×0invalid
Compiler

Compiled 150 to 28 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 25.0ms (48% of total)
ival-div: 11.0ms (21.1% of total)
ival-pow: 10.0ms (19.2% of total)
ival-add: 3.0ms (5.8% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-20.8MiB live, 16.8MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ (* (/ b (/ a b)) -2) a)) 1/4)>
#<alt (+ 1 (/ (* (/ b (/ a b)) -2) a))>
#<alt (/ (* (/ b (/ a b)) -2) a)>
#<alt (* (/ b (/ a b)) -2)>
#<alt (/ (* a 1/2) b)>
#<alt (* a 1/2)>
#<alt (+ 1 (/ (* b (* b -1/2)) (* a a)))>
#<alt (/ (* b (* b -1/2)) (* a a))>
#<alt (* b (* b -1/2))>
#<alt (* b -1/2)>
#<alt (neg (+ (/ (/ b a) (/ a b)) -1))>
#<alt (pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)>
#<alt (+ (/ (/ b a) (/ a b)) -1)>
#<alt (/ (/ b a) (/ a b))>
#<alt (/ b (/ a b))>
#<alt (* a a)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* -3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))>
#<alt (+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/128 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/1024 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* -2 (/ (pow b 2) a))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (- (pow a 2) (pow b 2)) (pow a 2))>
#<alt (/ (- (pow a 2) (pow b 2)) (pow a 2))>
#<alt (/ (- (pow a 2) (pow b 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* -3/32 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/128 (/ (pow b 2) (pow a 6))) (* 3/32 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2))))))>
#<alt (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))>
#<alt (+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))>
#<alt (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))>
#<alt (+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
Calls

84 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(/ (* b (* b -1/2)) (* a a))
0.0ms
a
@-inf
(* a 1/2)
0.0ms
b
@inf
(pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)
0.0ms
a
@inf
(* a a)
0.0ms
a
@0
(pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)

rewrite344.0ms (3%)

Memory
15.9MiB live, 451.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 718×*-lowering-*.f32
5 718×*-lowering-*.f64
4 544×/-lowering-/.f32
4 544×/-lowering-/.f64
4 156×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
1145106
21208104
08259102
Stop Event
1×iter limit
1×node limit
Counts
16 → 663
Calls
Call 1
Inputs
(pow (+ 1 (/ (* (/ b (/ a b)) -2) a)) 1/4)
(+ 1 (/ (* (/ b (/ a b)) -2) a))
(/ (* (/ b (/ a b)) -2) a)
(* (/ b (/ a b)) -2)
(/ (* a 1/2) b)
(* a 1/2)
(+ 1 (/ (* b (* b -1/2)) (* a a)))
(/ (* b (* b -1/2)) (* a a))
(* b (* b -1/2))
(* b -1/2)
(neg (+ (/ (/ b a) (/ a b)) -1))
(pow (neg (+ (/ (/ b a) (/ a b)) -1)) 1/4)
(+ (/ (/ b a) (/ a b)) -1)
(/ (/ b a) (/ a b))
(/ b (/ a b))
(* a a)
Outputs
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a)))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))
(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))))) (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 a b)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) a) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 b b) a)) a) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (/.f64 #s(literal -2 binary64) a) (neg.f64 (/.f64 #s(literal 1 binary64) b))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 a b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a (*.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal -2 binary64) a) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 #s(literal -2 binary64) a) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))) (*.f64 (/.f64 b a) (/.f64 (/.f64 (*.f64 b b) a) a)))))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 a (/.f64 (*.f64 b b) a)))))))
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(*.f64 (+.f64 (/.f64 (/.f64 b a) (*.f64 (/.f64 a b) (/.f64 a (/.f64 (*.f64 b b) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (*.f64 b b) a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a))) (/.f64 b (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 a a) b))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) b) b))
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(/.f64 b (/.f64 (*.f64 a a) b))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/.f64 (/.f64 b a) (/.f64 a b))
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(/.f64 (*.f64 b b) (*.f64 a a))
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(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 a a) b))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
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(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64))
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(pow.f64 (/.f64 (/.f64 (*.f64 a a) b) b) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))
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(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b (*.f64 a a)))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 b b))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 a b)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) a) (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 b a))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) a))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) a) b)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(*.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) a) b)))
(neg.f64 (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b b)))))
(/.f64 b (/.f64 a b))
(/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 a b))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 a b))
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 b a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))

simplify577.0ms (5.1%)

Memory
16.8MiB live, 729.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 184×accelerator-lowering-fma.f32
17 184×accelerator-lowering-fma.f64
6 680×*-lowering-*.f32
6 680×*-lowering-*.f64
4 428×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02743847
17633715
221473445
362173288
082823164
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* (pow b 2) (- (* -3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4))))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/32 (pow a 4)) (* 1/128 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/96 (pow a 6)) (+ (* -1/3072 (pow a 6)) (* 1/256 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))
(+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))
(+ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/8 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/128 (/ (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/1024 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -2 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (* 1/8 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -2/3 (/ (pow b 6) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/2 (/ (pow b 4) (pow a 4))) (+ (* -1/48 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 6) (pow a 6)))))))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(* -2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* -2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 2 (/ 1 (pow a 2)))))
(* -2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -2 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) (pow a 2)))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* -2 (/ (pow b 2) a))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (- (pow a 2) (pow b 2)) (pow a 2))
(/ (- (pow a 2) (pow b 2)) (pow a 2))
(/ (- (pow a 2) (pow b 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+ 1 (* (pow b 2) (- (* -3/32 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/128 (/ (pow b 2) (pow a 6))) (* 3/32 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2))))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ 1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4))))
(+ (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b))))))) (pow b 2))) (+ (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/8 (pow a 4)) (* 1/32 (pow a 4)))) (pow b 4)) (/ (* (exp (* 1/4 (+ (log (/ -1 (pow a 2))) (* -2 (log (/ -1 b)))))) (+ (* -1/12 (pow a 6)) (+ (* -1/384 (pow a 6)) (* 1/32 (pow a 6))))) (pow b 6)))))
(exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))
1
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
1
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 a a)))
(+ 1 (* (pow b 2) (- (* -3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -7/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -7/16 binary64))) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))))
(exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a) a) #s(literal 1/4 binary64))
(+ (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b)))))) (* -1/8 (/ (* (pow a 2) (exp (* 1/4 (+ (log (/ -2 (pow a 2))) (* -2 (log (/ 1 b))))))) (pow b 2))))
(+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a) a) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a) a) #s(literal 1/4 binary64)) (*.f64 (*.f64 a a) #s(literal -1/8 binary64))) (*.f64 b b)))
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(+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 a a) b) b) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -3/32 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -7/128 binary64)) (pow.f64 b #s(literal 6 binary64)))))))
(exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* -1/4 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 2))))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) b) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/2 binary64))) (/.f64 a b))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* -3/32 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 4))))))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 a (*.f64 a (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 b b)) (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -3/32 binary64)))))))
(+ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (* (pow a 2) (+ (* -1/4 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 2))) (* (pow a 2) (+ (* -3/32 (/ (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a))))) (pow b 4))) (* -7/128 (/ (* (pow a 2) (exp (* 1/4 (+ (log (* -1 (pow b 2))) (* -2 (log a)))))) (pow b 6))))))))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1/4 binary64))) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -7/128 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64)))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -3/32 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -7/128 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -3/32 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64)))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 4) (pow a 4))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -3/32 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(+ 1 (+ (* -1/4 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* -1/12 (/ (pow b 6) (pow a 6))) (+ (* -1/384 (/ (pow b 6) (pow a 6))) (+ (* 1/32 (/ (pow b 4) (pow a 4))) (* 1/32 (/ (pow b 6) (pow a 6)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1/4 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -7/128 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -3/32 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) (pow a 2))
(*.f64 b (/.f64 b (*.f64 a a)))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval141.0ms (1.2%)

Memory
1.0MiB live, 199.2MiB allocated
Compiler

Compiled 17 360 to 2 436 computations (86% saved)

prune91.0ms (0.8%)

Memory
2.4MiB live, 161.0MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New9963999
Fresh000
Picked325
Done022
Total99971 006
Accuracy
100.0%
Counts
1 006 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
98.4%
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) #s(literal 1 binary64)))
98.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))))
✓6.7%
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
✓6.6%
(/.f64 b a)
98.8%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
✓98.2%
#s(literal 1 binary64)
Compiler

Compiled 400 to 138 computations (65.5% saved)

regimes34.0ms (0.3%)

Memory
4.8MiB live, 42.3MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 b a)
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))))
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
Calls

7 calls:

6.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
5.0ms
a
5.0ms
b
4.0ms
(*.f64 a a)
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes19.0ms (0.2%)

Memory
-13.3MiB live, 24.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 b a)
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a) a) (/.f64 (/.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))))
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (+.f64 (/.f64 (/.f64 b a) (/.f64 a b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64)) a)) #s(literal 1/4 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
Calls

4 calls:

7.0ms
b
4.0ms
a
4.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(*.f64 a a)
98.8%1(*.f64 b b)
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total -60.1b remaining (-5215.8%)

Threshold costs -60.1b (-5215.8%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 b a)
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))
Outputs
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.2%1a
98.2%1b
98.2%1(*.f64 a a)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
12333
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
#s(literal 1 binary64)
Outputs
(pow.f64 (*.f64 (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64)) (+.f64 (/.f64 b (/.f64 a (/.f64 b a))) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) (*.f64 b #s(literal -1/2 binary64))) a))
#s(literal 1 binary64)

soundness2.7s (24.1%)

Memory
19.6MiB live, 2 781.9MiB allocated
Rules
14 212×accelerator-lowering-fma.f32
14 212×accelerator-lowering-fma.f64
13 362×accelerator-lowering-fma.f32
13 362×accelerator-lowering-fma.f64
9 090×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
12411
26911
319311
447811
5171811
6563111
0816710
023111
113095
298594
0833992
026122
1145106
21208104
08259102
02943733
18313586
223413316
364533236
083113130
01411332
13521332
210821319
335211282
464921270
082261193
0942
14242
226934
3356834
0894934
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 129 to 86 computations (33.3% saved)

preprocess27.0ms (0.2%)

Memory
15.6MiB live, 53.5MiB allocated
Remove

(abs b)

(abs a)

Compiler

Compiled 192 to 88 computations (54.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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