bug366, discussion (missed optimization)

Time bar (total: 1.7s)

analyze29.0ms (1.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
30.8%25%56.2%0.1%0%18.7%0%5
32%25%53.1%0.1%0%21.9%0%6
55.8%37.5%29.7%0.1%0%32.8%0%7
57.8%37.5%27.3%0.1%0%35.1%0%8
74.2%43.7%15.2%0.1%0%41%0%9
75.9%43.7%13.9%0.1%0%42.3%0%10
85.9%46.8%7.7%0.1%0%45.4%0%11
87%46.8%7%0.1%0%46.1%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample870.0ms (51%)

Results
817.0ms8256×body256valid
42.0ms653×body256invalid
Bogosity

preprocess138.0ms (8.1%)

Algorithm
1×egg-herbie
Rules
4458×fma-def
1962×associate--l+
1530×associate--l-
1000×distribute-lft-in
828×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992
16192
214292
337492
497892
5183392
6301992
7389992
8469792
9516392
10526892
11531492
12648092
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify145.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
2086×fma-def
1384×distribute-lft-out
996×distribute-lft-out--
982×unsub-neg
966×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11923
23123
36023
413823
538623
685023
7171923
8387523
9553823
10639723
11676623
12699623
13711023
14711023
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

eval1.0ms (0%)

Compiler

Compiled 26 to 14 computations (46.2% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
55.4%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Compiler

Compiled 20 to 12 computations (40% saved)

localize26.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms
a
@-inf
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms
b
@inf
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms
b
@0
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
0.0ms
a
@inf
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

rewrite71.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1104×prod-diff
944×log-prod
744×pow-prod-down
576×fma-def
486×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119323
2266923
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(*.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))

simplify55.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1660×fma-def
1424×associate-/l*
1296×associate-*l*
968×associate-/r*
706×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972120
15701680
225321312
Stop Event
1×node limit
Counts
58 → 85
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(*.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
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a
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a
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a
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(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))

eval26.0ms (1.5%)

Compiler

Compiled 1590 to 950 computations (40.3% saved)

prune12.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh000
Picked011
Done000
Total84286
Accurracy
100.0%
Counts
86 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Accurracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Accurracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Accurracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.4%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
99.2%
a
Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes20.0ms (1.2%)

Accuracy

Total -28.7b remaining (-5834.6%)

Threshold costs -28.7b (-5834.6%)

Counts
3 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
a
Calls

6 calls:

5.0ms
a
3.0ms
b
3.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
3.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%1(-.f64 (*.f64 a a) (*.f64 b b))
99.2%1(*.f64 a a)
99.2%1(*.f64 b b)
Compiler

Compiled 54 to 31 computations (42.6% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
a
Outputs
a
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness268.0ms (15.7%)

Rules
2086×fma-def
1384×distribute-lft-out
996×distribute-lft-out--
982×unsub-neg
966×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11923
23123
36023
413823
538623
685023
7171923
8387523
9553823
10639723
11676623
12699623
13711023
14711023
Stop Event
1×node limit
Compiler

Compiled 18 to 10 computations (44.4% saved)

end0.0ms (0%)

preprocess30.0ms (1.7%)

Remove

(abs b)

Compiler

Compiled 74 to 46 computations (37.8% saved)

Profiling

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