Details

Time bar (total: 2.9s)

analyze938.0ms (32.3%)

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)

sample1.8s (60.7%)

Results
670.0ms5943×body128valid
322.0ms886×body1024valid
229.0ms519×body2048valid
174.0ms1629×body128invalid
165.0ms583×body512valid
58.0ms325×body256valid
56.0ms221×body512invalid
47.0ms139×body1024invalid
27.0ms137×body256invalid

preprocess38.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
548×sub-neg_binary64
521×fma-def_binary64
344×unsub-neg_binary64
290×associate-+r+_binary64
275×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02476
19644
233140
3103528
4455428
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 y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
Outputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(+.f64 (*.f64 x (-.f64 y x)) (-.f64 (*.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(+.f64 (*.f64 y (-.f64 z y)) (-.f64 (*.f64 y y) (*.f64 x y)))
(-.f64 (fma.f64 y z 0) (*.f64 x y))
(-.f64 (*.f64 y z) (*.f64 x y))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
(+.f64 (*.f64 z (-.f64 x z)) (-.f64 (*.f64 z z) (*.f64 y z)))
(-.f64 (fma.f64 x z 0) (*.f64 y z))
(-.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (-.f64 x y))
Compiler

Compiled 18 to 9 computations (50% saved)

simplify32.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
445×unsub-neg_binary64
328×fma-def_binary64
301×sub-neg_binary64
248×fma-neg_binary64
209×distribute-lft-out--_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01019
12911
29710
32787
49057
529417
646227
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Outputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(*.f64 y (-.f64 (-.f64 x 0) z))
(*.f64 y (-.f64 x z))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 y (-.f64 x z))
14.6b
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 75 to 39 computations (48% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
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
x
@inf
(*.f64 y (-.f64 x z))
0.0ms
y
@inf
(*.f64 y (-.f64 x z))

rewrite35.0ms (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 exp.f64 (log.f64 (*.f64 y (-.f64 x z))))))) (#(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))))))))

simplify21.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
217×fma-def_binary64
132×fma-neg_binary64
41×cancel-sign-sub-inv_binary64
25×distribute-rgt-in_binary64
25×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010210
118210
235156
358156
486156
5138156
6254156
7410156
8576156
9730156
10744156
Stop Event
1×saturated
Counts
44 → 26
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))

prune15.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh101
Picked101
Done000
Total27128
Error
0b
Counts
28 → 1
Alt Table
StatusErrorProgram
▶0b
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
Compiler

Compiled 252 to 104 computations (58.7% saved)

localize5.0ms (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 x y) (*.f64 (neg.f64 z) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes22.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
6 → 1
Compiler

Compiled 77 to 37 computations (51.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11710
22610
33410
43710
53810
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 y z))

end21.0ms (0.7%)

Stop Event
1×done
Compiler

Compiled 28 to 15 computations (46.4% saved)

Profiling

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