Details

Time bar (total: 1.6s)

analyze503.0ms (30.5%)

Algorithm
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
29.6%70.2%0.1%9
42.1%57.7%0.1%10
47.6%52.1%0.3%11
53.8%44.6%1.6%12
60.3%35.4%4.3%13
63.3%30.4%6.3%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample913.0ms (55.3%)

Results
755.0ms8256×body128valid
142.0ms1499×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess60.0ms (3.7%)

Algorithm
egg-herbie
Rules
1004×fma-neg_binary64
393×times-frac_binary64
378×div-sub_binary64
312×cancel-sign-sub-inv_binary64
211×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13740
27340
314040
430540
562640
6156940
7320440
8384140
9412440
10428640
11434240
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(-.f64 z (/.f64 (-.f64 z y) x))
(+.f64 x (/.f64 (-.f64 z x) y))
(-.f64 x (/.f64 (-.f64 x z) y))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify22.0ms (1.4%)

Algorithm
egg-herbie
Rules
377×fma-neg_binary64
309×fma-def_binary64
110×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
56×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34210
48710
516510
638310
772310
8120810
9149310
10158610
11166410
12166810
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 37 to 21 computations (43.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 y x) z)

series5.0ms (0.3%)

Counts
1 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (-.f64 y x) z)
1.0ms
x
@-inf
(/.f64 (-.f64 y x) z)
1.0ms
y
@inf
(/.f64 (-.f64 y x) z)
1.0ms
y
@0
(/.f64 (-.f64 y x) z)
0.0ms
z
@inf
(/.f64 (-.f64 y x) z)

rewrite43.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
76×add-sqr-sqrt_binary64
75×*-un-lft-identity_binary64
75×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11387
221247
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))))))

simplify26.0ms (1.6%)

Algorithm
egg-herbie
Rules
279×fma-def_binary64
145×fma-neg_binary64
56×cancel-sign-sub-inv_binary64
40×distribute-rgt-in_binary64
40×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012250
124250
248228
392184
4182184
5356184
6651184
71018184
81064184
91095184
101100184
Stop Event
saturated
Counts
63 → 40
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 x z))
(*.f64 -1 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (-.f64 x y) z))
Outputs
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (neg.f64 (-.f64 x y)) z)
(/.f64 (-.f64 y x) z)

prune15.0ms (0.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141
Error
0b
Counts
41 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 471 to 184 computations (60.9% saved)

regimes17.0ms (1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21510
31710
41810
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

end37.0ms (2.2%)

Stop Event
done
Compiler

Compiled 30 to 18 computations (40% saved)

Profiling

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