Details

Time bar (total: 2.8s)

analyze877.0ms (31.5%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
18.7%81.1%0.1%9
28.1%71.8%0.1%10
32.8%67.1%0.1%11
39.8%60.1%0.1%12
45.2%54.5%0.2%13
48.6%50.6%0.9%14
Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.7s (60.6%)

Results
663.0ms6049×body128valid
274.0ms845×body1024valid
203.0ms518×body2048valid
155.0ms1409×body128invalid
134.0ms519×body512valid
78.0ms327×body512invalid
69.0ms220×body1024invalid
57.0ms325×body256valid
35.0ms196×body256invalid
Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess32.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
925×fma-neg_binary64
476×fma-def_binary64
298×cancel-sign-sub_binary64
285×sub-neg_binary64
192×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02470
19658
231952
395328
4247828
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 (+.f64 x y) y) z))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (*.f64 x (+.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x x)))
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x z)))
(*.f64 x (-.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 x (-.f64 y z))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 z y)) (*.f64 y (+.f64 x y)))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (+.f64 y (-.f64 z (+.f64 x y))))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
(-.f64 (*.f64 z (+.f64 x z)) (+.f64 (*.f64 y z) (*.f64 z z)))
(-.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 y z)))
(*.f64 z (-.f64 (+.f64 x z) (+.f64 y z)))
(*.f64 z (-.f64 x y))
Compiler

Compiled 18 to 9 computations (50% saved)

simplify38.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
430×unsub-neg_binary64
302×distribute-rgt-out_binary64
293×distribute-rgt-out--_binary64
291×fma-def_binary64
229×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01019
12916
28913
32567
46967
523257
640547
744887
849727
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y z) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (-.f64 x z))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 y (-.f64 x z))
Compiler

Compiled 39 to 21 computations (46.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (-.f64 x z))

series8.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 y (-.f64 x z))
1.0ms
y
@0
(*.f64 y (-.f64 x z))
1.0ms
y
@-inf
(*.f64 y (-.f64 x z))
1.0ms
y
@inf
(*.f64 y (-.f64 x z))
1.0ms
x
@inf
(*.f64 y (-.f64 x z))

rewrite34.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
725×pow1_binary64
672×add-log-exp_binary64
672×log1p-expm1-u_binary64
672×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
217807
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 x z))))))))

simplify25.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
172×fma-def_binary64
126×fma-neg_binary64
43×cancel-sign-sub-inv_binary64
32×distribute-rgt-in_binary64
27×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011240
125240
243240
367240
4102240
5171240
6295240
7437240
8630240
9696240
10708240
Stop Event
1×saturated
Counts
56 → 26
Calls
Call 1
Inputs
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 -1 (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
(-.f64 (*.f64 y x) (*.f64 y z))
Outputs
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)

prune10.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh000
Picked101
Done000
Total26127
Error
0b
Counts
27 → 1
Alt Table
StatusErrorProgram
▶0b
(-.f64 (*.f64 y x) (*.f64 y z))
Compiler

Compiled 242 to 100 computations (58.7% saved)

localize6.0ms (0.2%)

prune1.0ms (0%)

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 y x) (*.f64 y z))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes21.0ms (0.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
6 → 1
Compiler

Compiled 70 to 33 computations (52.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22610
33210
43610
53710
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) (*.f64 y z))
Outputs
(-.f64 (*.f64 y x) (*.f64 y z))

end35.0ms (1.3%)

Stop Event
1×done
Compiler

Compiled 30 to 18 computations (40% saved)

Profiling

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