Details

Time bar (total: 4.8s)

analyze177.0ms (3.7%)

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
28.1%71.8%0.1%9
34.3%56.9%8.7%10
40.6%49.9%9.5%11
48%41.9%10.1%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.9s (40.1%)

Results
1.4s8255×body256valid
507.0ms1066×body256invalid
0.0msbody1024valid

preprocess230.0ms (4.8%)

Algorithm
egg-herbie
Rules
1773×fma-neg_binary64
1050×fma-def_binary64
360×unsub-neg_binary64
348×distribute-rgt-in_binary64
333×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13040
28240
322640
470540
5193140
6335340
7522140
8575340
9586140
10586140
11597240
12597240
13711540
14711540
033
133
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 1 z))
(*.f64 (+.f64 z y) (-.f64 1 x))
(*.f64 (+.f64 x z) (-.f64 1 y))
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(*.f64 (+.f64 z y) (-.f64 1 x))
(*.f64 (+.f64 y z) (-.f64 1 x))
(*.f64 (+.f64 x z) (-.f64 1 y))
Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Rules
673×fma-neg_binary64
459×fma-def_binary64
156×cancel-sign-sub-inv_binary64
136×distribute-rgt-in_binary64
117×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
23210
38210
426110
570110
6121510
7194510
8250510
9283810
10287310
11287310
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))

eval1.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
z
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
z
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
0.0ms
y
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite62.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
974×pow1_binary64
905×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117110
2236310
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 (pow.f64 z 3))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 (pow.f64 z 3))) (*.f64 (-.f64 x y) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 (*.f64 z z))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 (*.f64 z z))) (*.f64 (-.f64 x y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 z z z)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 1 z) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (+.f64 1 (fma.f64 z z z)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 z)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 z)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 x y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (+.f64 x y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))))

simplify99.0ms (2.1%)

Algorithm
egg-herbie
Rules
862×fma-def_binary64
687×fma-neg_binary64
137×associate--r+_binary64
135×sub-neg_binary64
130×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017442
140334
295334
3266334
4484334
51109334
62033334
72761334
83101334
93105334
Stop Event
saturated
Counts
72 → 48
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(*.f64 y (-.f64 1 z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(*.f64 y (-.f64 1 z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(+.f64 y x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
Outputs
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x))
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))

eval11.0ms (0.2%)

Compiler

Compiled 624 to 311 computations (50.2% saved)

prune15.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New43548
Fresh000
Picked011
Done000
Total43649
Error
0b
Counts
49 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(-.f64 y (*.f64 y z))
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
25.7b
(+.f64 y x)
32.5b
(-.f64 x (*.f64 z x))
32.5b
(*.f64 (-.f64 1 z) x)
38.2b
(*.f64 z (-.f64 (neg.f64 y) x))
Compiler

Compiled 88 to 59 computations (33% saved)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 z) x)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (-.f64 1 z) x)
1.0ms
z
@0
(*.f64 (-.f64 1 z) x)
0.0ms
x
@inf
(*.f64 (-.f64 1 z) x)
0.0ms
x
@0
(*.f64 (-.f64 1 z) x)
0.0ms
z
@inf
(*.f64 (-.f64 1 z) x)

rewrite54.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 1 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) x)))))))

simplify18.0ms (0.4%)

Algorithm
egg-herbie
Rules
140×fma-def_binary64
84×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
19×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0785
11476
23376
35176
47276
514676
628376
739276
847576
953976
Stop Event
saturated
Counts
29 → 22
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
Outputs
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))

localize55.0ms (1.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
651×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216547
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(-.f64 x (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (cbrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 x (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 x (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z)))))))

simplify24.0ms (0.5%)

Algorithm
egg-herbie
Rules
145×fma-def_binary64
71×fma-neg_binary64
21×cancel-sign-sub-inv_binary64
19×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013160
128160
249160
388160
4136160
5223160
6371160
7450160
8518160
9524160
Stop Event
saturated
Counts
64 → 47
Calls
Call 1
Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
Outputs
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite46.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
649×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
591×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216507
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 y (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y 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 y 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 (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 2) (cbrt.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y z))) (sqrt.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y z)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2)) (+.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 y (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z)))))))

simplify23.0ms (0.5%)

Algorithm
egg-herbie
Rules
136×fma-def_binary64
71×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
18×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014160
129160
247160
376160
4124160
5211160
6359160
7439160
8509160
9515160
Stop Event
saturated
Counts
62 → 45
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 y (-.f64 1 z))
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(*.f64 -1 (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
Outputs
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 1 z))
(fma.f64 z (neg.f64 y) y)
(fma.f64 y (neg.f64 z) y)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite53.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
754×pow1_binary64
699×add-log-exp_binary64
698×log1p-expm1-u_binary64
698×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11527
221527
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 z (-.f64 (neg.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (-.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 y x) 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 expm1.f64 (log1p.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 y x))))))))

simplify37.0ms (0.8%)

Algorithm
egg-herbie
Rules
99×fma-neg_binary64
90×fma-def_binary64
38×cancel-sign-sub-inv_binary64
31×sub-neg_binary64
26×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013306
133306
281306
3121306
4200306
5362306
6549306
7598306
8602306
Stop Event
saturated
Counts
55 → 26
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
Outputs
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y x) z))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x)))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (-.f64 (neg.f64 y) x))

eval25.0ms (0.5%)

Compiler

Compiled 1463 to 517 computations (64.7% saved)

prune215.0ms (4.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1364140
Fresh000
Picked011
Done055
Total13610146
Error
0b
Counts
146 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(*.f64 (-.f64 1 z) x)
48.8b
(*.f64 y (neg.f64 z))
45.0b
y
30.8b
(-.f64 y (*.f64 y z))
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
25.7b
(+.f64 y x)
32.5b
(-.f64 x (*.f64 z x))
43.5b
x
52.0b
(*.f64 z (neg.f64 x))
38.2b
(*.f64 z (-.f64 (neg.f64 y) x))
Compiler

Compiled 71 to 49 computations (31% saved)

localize10.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.3%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune7.0ms (0.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done077
Total01010
Error
0b
Counts
10 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(*.f64 (-.f64 1 z) x)
48.8b
(*.f64 y (neg.f64 z))
45.0b
y
30.8b
(-.f64 y (*.f64 y z))
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
25.7b
(+.f64 y x)
32.5b
(-.f64 x (*.f64 z x))
43.5b
x
52.0b
(*.f64 z (neg.f64 x))
38.2b
(*.f64 z (-.f64 (neg.f64 y) x))
Compiler

Compiled 71 to 49 computations (31% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune59.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done088
Total01010
Error
0b
Counts
10 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(*.f64 (-.f64 1 z) x)
48.8b
(*.f64 y (neg.f64 z))
45.0b
y
30.8b
(-.f64 y (*.f64 y z))
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
25.7b
(+.f64 y x)
32.5b
(-.f64 x (*.f64 z x))
43.5b
x
52.0b
(*.f64 z (neg.f64 x))
38.2b
(*.f64 z (-.f64 (neg.f64 y) x))
Compiler

Compiled 71 to 49 computations (31% saved)

regimes102.0ms (2.1%)

Counts
10 → 1
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 y (*.f64 y z))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (+.f64 x y) (-.f64 1 z))
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
Calls

6 calls:

25.0ms
x
22.0ms
(+.f64 x y)
14.0ms
z
14.0ms
y
13.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b1(+.f64 x y)
0.0b1(-.f64 1 z)
Compiler

Compiled 78 to 47 computations (39.7% saved)

regimes152.0ms (3.2%)

Counts
9 → 3
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 y (*.f64 y z))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(*.f64 z (-.f64 (neg.f64 y) x))
Outputs
(*.f64 z (-.f64 (neg.f64 y) x))
(+.f64 y x)
(*.f64 z (-.f64 (neg.f64 y) x))
Calls

5 calls:

39.0ms
(-.f64 1 z)
38.0ms
y
37.0ms
z
23.0ms
(-.f64 1 z)
11.0ms
x
Results
ErrorSegmentsBranch
12.0b2x
9.2b4y
2.1b3z
2.1b3(-.f64 1 z)
2.1b3(-.f64 1 z)
Compiler

Compiled 61 to 37 computations (39.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1673697991642418
2.0385822915213954
0.0ms
-5.950384612478337
0.9957015917732784
Compiler

Compiled 16 to 12 computations (25% saved)

regimes91.0ms (1.9%)

Counts
8 → 4
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 y (*.f64 y z))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
Outputs
(-.f64 x (*.f64 z x))
(-.f64 y (*.f64 y z))
(+.f64 y x)
(-.f64 y (*.f64 y z))
Calls

5 calls:

22.0ms
y
21.0ms
z
17.0ms
(-.f64 1 z)
17.0ms
(-.f64 1 z)
11.0ms
x
Results
ErrorSegmentsBranch
12.0b2x
9.3b4y
10.3b4z
10.3b4(-.f64 1 z)
10.3b4(-.f64 1 z)
Compiler

Compiled 55 to 34 computations (38.2% saved)

bsearch55.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
643127.9441547139
4670265.140260996
17.0ms
6.559736004616496e-22
3.825614995371221e-17
19.0ms
6.957311779636474e-53
9.478814756757564e-51
Compiler

Compiled 16 to 12 computations (25% saved)

regimes61.0ms (1.3%)

Counts
6 → 5
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 y (*.f64 y z))
Outputs
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 y (*.f64 y z))
(+.f64 y x)
(-.f64 y (*.f64 y z))
Calls

3 calls:

28.0ms
z
20.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
16.3b2x
16.5b4y
10.4b5z
Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch496.0ms (10.3%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
1.390823441980683e-16
4.204330222000062e-15
30.0ms
-0.012463115845917512
-7.792617503187158e-11
339.0ms
-1.7641532544287173e+33
-1.0795701340299888e+23
91.0ms
-7.864365460427584e+48
-6.031845602122742e+41
Compiler

Compiled 330 to 240 computations (27.3% saved)

regimes107.0ms (2.2%)

Counts
5 → 4
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
Outputs
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 y x)
(*.f64 y (neg.f64 z))
Calls

3 calls:

45.0ms
z
38.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
23.4b5x
22.3b5y
11.4b4z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch100.0ms (2.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.004298408226721528
6.950384612478337
18.0ms
-1.0385822915213954
-0.16736979916424183
65.0ms
-7.864365460427584e+48
-6.031845602122742e+41
Compiler

Compiled 160 to 120 computations (25% saved)

regimes57.0ms (1.2%)

Counts
4 → 3
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
Outputs
(*.f64 y (neg.f64 z))
(+.f64 y x)
(*.f64 y (neg.f64 z))
Calls

3 calls:

23.0ms
y
19.0ms
x
13.0ms
z
Results
ErrorSegmentsBranch
23.4b5x
22.3b5y
12.5b3z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch38.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.004298408226721528
6.950384612478337
19.0ms
-490781.89883970364
-65132.50133712032
Compiler

Compiled 16 to 12 computations (25% saved)

regimes14.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
y
x
(+.f64 y x)
Outputs
(+.f64 y x)
Calls

3 calls:

5.0ms
x
4.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
25.7b1x
25.7b1y
25.7b1z
Compiler

Compiled 20 to 13 computations (35% saved)

regimes56.0ms (1.2%)

Accuracy

Total -32.6b remaining (-109.9%)

Threshold costs -32.6b (-109.9%)

Counts
2 → 4
Calls
Call 1
Inputs
y
x
Outputs
x
y
x
y
Calls

3 calls:

34.0ms
z
11.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
33.0b2x
29.7b4y
37.2b9z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch53.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.55946523652633e+40
4.164313169138183e+49
18.0ms
1.5736050300217394e-9
2.4200996448431376e-7
18.0ms
8.406130577890905e-49
3.392494449792262e-48
Compiler

Compiled 16 to 12 computations (25% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067242
196242
2113242
3127242
4137242
5140242
6141242
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -5) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 y 3751375090514765/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 x (*.f64 z x)) (if (<=.f64 y 6975507793835629/10633823966279326983230456482242756608) (-.f64 y (*.f64 y z)) (if (<=.f64 y 5524426974576421/8589934592) (+.f64 y x) (-.f64 y (*.f64 y z)))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -1599999999999999865782272) (*.f64 z (neg.f64 x)) (if (<=.f64 z -7184497136582327/576460752303423488) (-.f64 y (*.f64 y z)) (if (<=.f64 z 5641850147322575/40564819207303340847894502572032) (+.f64 y x) (-.f64 y (*.f64 y z))))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -584669852636169/562949953421312) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 y x) (*.f64 y (neg.f64 z)))))
(if (<=.f64 z -4215784409970615/8589934592) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 y x) (*.f64 y (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 y 5532930470142651/6582018229284824168619876730229402019930943462534319453394436096) x (if (<=.f64 y 3804743501337469/2417851639229258349412352) y (if (<=.f64 y 95594652365263309232757770090201732874240) x y)))
y
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -5) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 1 z) -5) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (*.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 y 3751375090514765/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 x (*.f64 z x)) (if (<=.f64 y 6975507793835629/10633823966279326983230456482242756608) (-.f64 y (*.f64 y z)) (if (<=.f64 y 5524426974576421/8589934592) (+.f64 y x) (-.f64 y (*.f64 y z)))))
(if (<=.f64 y 3751375090514765/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 x (*.f64 x z)) (if (<=.f64 y 6975507793835629/10633823966279326983230456482242756608) (-.f64 y (*.f64 y z)) (if (<=.f64 y 5524426974576421/8589934592) (+.f64 x y) (-.f64 y (*.f64 y z)))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -1599999999999999865782272) (*.f64 z (neg.f64 x)) (if (<=.f64 z -7184497136582327/576460752303423488) (-.f64 y (*.f64 y z)) (if (<=.f64 z 5641850147322575/40564819207303340847894502572032) (+.f64 y x) (-.f64 y (*.f64 y z))))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -1599999999999999865782272) (*.f64 z (neg.f64 x)) (if (<=.f64 z -7184497136582327/576460752303423488) (-.f64 y (*.f64 y z)) (if (<=.f64 z 5641850147322575/40564819207303340847894502572032) (+.f64 x y) (-.f64 y (*.f64 y z))))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -584669852636169/562949953421312) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 y x) (*.f64 y (neg.f64 z)))))
(if (<=.f64 z -5199999999999999903479830175969499460941027213312) (*.f64 y (neg.f64 z)) (if (<=.f64 z -584669852636169/562949953421312) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 x y) (*.f64 y (neg.f64 z)))))
(if (<=.f64 z -4215784409970615/8589934592) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 y x) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -4215784409970615/8589934592) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4955727280166233/1152921504606846976) (+.f64 x y) (*.f64 y (neg.f64 z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y 5532930470142651/6582018229284824168619876730229402019930943462534319453394436096) x (if (<=.f64 y 3804743501337469/2417851639229258349412352) y (if (<=.f64 y 95594652365263309232757770090201732874240) x y)))
y
Compiler

Compiled 194 to 111 computations (42.8% saved)

soundness0.0ms (0%)

end77.0ms (1.6%)

Remove

(sort x y)

Compiler

Compiled 190 to 87 computations (54.2% saved)

Profiling

Loading profile data...