Details

Time bar (total: 1.0s)

analyze105.0ms (10.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%50%25.1%7
31.2%37.5%31.3%8
39%24.2%36.8%9
42.9%18.3%38.7%10
47.2%11.9%40.9%11
49.4%9.1%41.6%12
51.6%5.9%42.5%13
52.7%4.5%42.8%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample672.0ms (66.5%)

Results
648.0ms8256×body128valid
12.0ms165×body128invalid
Compiler

Compiled 20 to 12 computations (40% saved)

preprocess39.0ms (3.9%)

Algorithm
2×egg-herbie
Rules
853×fma-def_binary64
508×fma-neg_binary64
361×associate--l-_binary64
312×unsub-neg_binary64
299×associate--l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
12520
24720
310320
427120
580720
6207320
7368820
8491920
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
Outputs
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 b b) (*.f64 a a))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify24.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
697×fma-def_binary64
581×fma-neg_binary64
283×distribute-rgt-in_binary64
224×sub-neg_binary64
221×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11510
22710
35610
413110
538010
682810
7163310
8360610
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(-.f64 (*.f64 a a) (*.f64 b b))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 a a) (*.f64 b b))

series3.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite37.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
733×pow1_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
74×add-sqr-sqrt_binary64
72×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113910
2197910
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (+.f64 (*.f64 b (neg.f64 b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (fma.f64 a a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a b) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)) (-.f64 (pow.f64 a 6) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 a a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (neg.f64 (fma.f64 a a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 b (neg.f64 b)) 3)) (+.f64 (pow.f64 a 4) (-.f64 (*.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b))) (*.f64 (*.f64 a a) (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b)))) (-.f64 (*.f64 a a) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))) (-.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1))))))

simplify29.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
504×unswap-sqr_binary64
348×fma-def_binary64
235×distribute-rgt-in_binary64
227×fma-neg_binary64
219×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09210
120210
244210
396210
4253210
5921210
62985210
Stop Event
1×node limit
Counts
72 → 53
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 a 2)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 a 2)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 a 2)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 -1 (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 -1 (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
Outputs
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))

prune24.0ms (2.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New52153
Fresh000
Picked101
Done000
Total53154
Error
0b
Counts
54 → 1
Alt Table
StatusErrorProgram
▶0b
(*.f64 (+.f64 a b) (-.f64 a b))
Compiler

Compiled 815 to 251 computations (69.2% saved)

localize4.0ms (0.4%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
✓0b
(*.f64 (+.f64 a b) (-.f64 a b))
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes36.0ms (3.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
9 → 1
Compiler

Compiled 112 to 50 computations (55.4% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11010
21510
31710
41810
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (-.f64 a b))
Outputs
(*.f64 (+.f64 a b) (-.f64 a b))

end29.0ms (2.9%)

Stop Event
1×done
Compiler

Compiled 27 to 15 computations (44.4% saved)

Profiling

Loading profile data...