Details

Time bar (total: 3.6s)

analyze1.0s (29.3%)

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
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)

sample2.1s (58%)

Results
861.0ms6015×body128valid
329.0ms833×body1024valid
240.0ms496×body2048valid
156.0ms580×body512valid
151.0ms1345×body128invalid
111.0ms320×body512invalid
95.0ms204×body1024invalid
63.0ms332×body256valid
38.0ms227×body256invalid
Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess37.0ms (1%)

Algorithm
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
saturated
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 (1.1%)

Algorithm
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
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))

prune5.0ms (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))
16.9b
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
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 (0.1%)

Counts
1 → 36
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
y
@inf
(*.f64 y (-.f64 x z))
1.0ms
z
@inf
(*.f64 y (-.f64 x z))

rewrite39.0ms (1.1%)

Algorithm
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
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))))))))

simplify31.0ms (0.9%)

Algorithm
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
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)

prune15.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh101
Picked011
Done000
Total25328
Error
0b
Counts
28 → 3
Alt Table
StatusErrorProgram
34.8b
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
0.0b
(*.f64 y (-.f64 x z))
0.0b
(-.f64 (*.f64 y x) (*.f64 y z))
Compiler

Compiled 272 to 121 computations (55.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.1%)

Counts
1 → 18
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@0
(-.f64 (*.f64 y x) (*.f64 y z))
1.0ms
y
@inf
(-.f64 (*.f64 y x) (*.f64 y z))
0.0ms
x
@0
(-.f64 (*.f64 y x) (*.f64 y z))
0.0ms
x
@inf
(-.f64 (*.f64 y x) (*.f64 y z))
0.0ms
z
@0
(-.f64 (*.f64 y x) (*.f64 y z))

rewrite47.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
836×log1p-expm1-u_binary64
836×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11627
222997
Stop Event
node limit
Counts
1 → 55
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (/.f64 1 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))) (neg.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 (*.f64 y x) (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))) (*.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 (*.f64 y x) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (-.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y 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 exp.f64 (log.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))))

simplify22.0ms (0.6%)

Algorithm
egg-herbie
Rules
143×fma-def_binary64
90×fma-neg_binary64
33×unsub-neg_binary64
31×cancel-sign-sub-inv_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013114
128114
263114
3144114
4269114
5430114
6592114
7663114
8665114
Stop Event
saturated
Counts
73 → 60
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 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y z))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
Outputs
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))

prune26.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh101
Picked101
Done011
Total61263
Error
0b
Counts
63 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 y (-.f64 x z))
0.0b
(fma.f64 y x (*.f64 z (neg.f64 y)))
Compiler

Compiled 885 to 227 computations (74.4% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y x (*.f64 z (neg.f64 y)))

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(fma.f64 y x (*.f64 z (neg.f64 y)))
1.0ms
y
@-inf
(fma.f64 y x (*.f64 z (neg.f64 y)))
1.0ms
y
@0
(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms
x
@-inf
(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms
x
@0
(fma.f64 y x (*.f64 z (neg.f64 y)))

rewrite35.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
606×pow1_binary64
555×add-log-exp_binary64
554×log1p-expm1-u_binary64
554×expm1-log1p-u_binary64
74×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11438
218118
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 2) (cbrt.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (*.f64 y z))) (sqrt.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 y z) 2)) (fma.f64 y x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 y z))))))))

simplify44.0ms (1.2%)

Algorithm
egg-herbie
Rules
165×fma-def_binary64
93×fma-neg_binary64
33×cancel-sign-sub-inv_binary64
27×unsub-neg_binary64
26×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014240
134240
273240
3161240
4296240
5459240
6592240
7678240
8680240
Stop Event
saturated
Counts
59 → 30
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 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.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 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.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 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.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 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(*.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 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))

prune10.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done011
Total30232
Error
0b
Counts
32 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 y (-.f64 x z))
0.0b
(fma.f64 y x (*.f64 z (neg.f64 y)))
Compiler

Compiled 307 to 94 computations (69.4% saved)

regimes25.0ms (0.7%)

Accuracy

Total 0.0b remaining (75%)

Threshold costs 0.0b (75%)

Counts
8 → 1
Compiler

Compiled 85 to 37 computations (56.5% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22210
32810
43110
53210
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
Outputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
(fma.f64 y x (*.f64 y (neg.f64 z)))

end41.0ms (1.2%)

Stop Event
done
Compiler

Compiled 38 to 23 computations (39.5% saved)

Profiling

Loading profile data...