Details

Time bar (total: 3.7s)

analyze331.0ms (8.9%)

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)

sample1.5s (40.3%)

Results
1.3s8255×body256valid
161.0ms1121×body256invalid
0.0msbody1024valid

preprocess230.0ms (6.2%)

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)

simplify71.0ms (1.9%)

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)

localize20.0ms (0.5%)

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)

series9.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
y
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@-inf
(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite50.0ms (1.4%)

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))))))))

simplify70.0ms (1.9%)

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 (0.3%)

Compiler

Compiled 624 to 311 computations (50.2% saved)

prune11.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549
Error
0b
Counts
49 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
30.6b
(-.f64 x (*.f64 z x))
30.6b
(*.f64 (-.f64 1 z) x)
32.2b
(*.f64 y (-.f64 1 z))
37.6b
(*.f64 z (-.f64 (neg.f64 y) x))
25.2b
(+.f64 y x)
Compiler

Compiled 78 to 54 computations (30.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite46.0ms (1.2%)

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)))))))

simplify27.0ms (0.7%)

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))

localize5.0ms (0.1%)

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))

rewrite45.0ms (1.2%)

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)))))))

simplify35.0ms (0.9%)

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)

localize7.0ms (0.2%)

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 (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (1.4%)

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))))))))

simplify29.0ms (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))

eval17.0ms (0.5%)

Compiler

Compiled 935 to 361 computations (61.4% saved)

prune39.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New92395
Fresh000
Picked011
Done044
Total928100
Error
0b
Counts
100 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
49.9b
(*.f64 y (neg.f64 z))
30.6b
(-.f64 x (*.f64 z x))
43.5b
x
37.6b
(*.f64 z (-.f64 (neg.f64 y) x))
30.6b
(*.f64 (-.f64 1 z) x)
49.9b
(*.f64 z (neg.f64 x))
32.2b
(*.f64 y (-.f64 1 z))
25.2b
(+.f64 y x)
Compiler

Compiled 57 to 40 computations (29.8% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done066
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
49.9b
(*.f64 y (neg.f64 z))
30.6b
(-.f64 x (*.f64 z x))
43.5b
x
37.6b
(*.f64 z (-.f64 (neg.f64 y) x))
30.6b
(*.f64 (-.f64 1 z) x)
49.9b
(*.f64 z (neg.f64 x))
32.2b
(*.f64 y (-.f64 1 z))
25.2b
(+.f64 y x)
Compiler

Compiled 57 to 40 computations (29.8% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
49.9b
(*.f64 y (neg.f64 z))
30.6b
(-.f64 x (*.f64 z x))
43.5b
x
37.6b
(*.f64 z (-.f64 (neg.f64 y) x))
30.6b
(*.f64 (-.f64 1 z) x)
49.9b
(*.f64 z (neg.f64 x))
32.2b
(*.f64 y (-.f64 1 z))
25.2b
(+.f64 y x)
Compiler

Compiled 57 to 40 computations (29.8% saved)

regimes79.0ms (2.1%)

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

48.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))
7.0ms
y
6.0ms
x
6.0ms
(+.f64 x y)
6.0ms
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 77 to 48 computations (37.7% saved)

regimes140.0ms (3.8%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(*.f64 y (-.f64 1 z))
(*.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:

57.0ms
x
35.0ms
(-.f64 1 z)
20.0ms
y
16.0ms
z
10.0ms
(-.f64 1 z)
Results
ErrorSegmentsBranch
6.6b6x
7.9b4y
0.9b3z
0.9b3(-.f64 1 z)
0.9b3(-.f64 1 z)
Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000240614
1522577719.922361
0.0ms
-1267523.3352350637
0.7579304009734458
Compiler

Compiled 16 to 12 computations (25% saved)

regimes143.0ms (3.8%)

Counts
7 → 8
Calls
Call 1
Inputs
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(*.f64 y (-.f64 1 z))
Outputs
(-.f64 x (*.f64 z x))
(+.f64 y x)
(-.f64 x (*.f64 z x))
(*.f64 y (-.f64 1 z))
(-.f64 x (*.f64 z x))
(*.f64 y (-.f64 1 z))
(*.f64 z (neg.f64 x))
(*.f64 y (-.f64 1 z))
Calls

5 calls:

42.0ms
(-.f64 1 z)
39.0ms
x
29.0ms
z
19.0ms
(-.f64 1 z)
12.0ms
y
Results
ErrorSegmentsBranch
5.8b8x
9.0b2y
7.8b6z
7.8b6(-.f64 1 z)
7.8b6(-.f64 1 z)
Compiler

Compiled 54 to 35 computations (35.2% saved)

bsearch148.0ms (4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
-3.574214940949239e-226
-1.4317233318725585e-232
18.0ms
-2.2621802846860282e-207
-3.0358102461123576e-209
19.0ms
-1.758473611016117e-183
-2.07172359061723e-184
18.0ms
-9.654080820176135e-147
-3.0436750295059565e-150
18.0ms
-1.4126622697240717e-98
-2.0372732139923777e-101
40.0ms
-4.607358152156033e-75
-1.3315049256750862e-77
17.0ms
-1.251181739311937e-11
-3.9323728644778284e-15
Compiler

Compiled 16 to 12 computations (25% saved)

regimes130.0ms (3.5%)

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

5 calls:

37.0ms
x
29.0ms
z
27.0ms
y
18.0ms
(-.f64 1 z)
17.0ms
(-.f64 1 z)
Results
ErrorSegmentsBranch
14.5b8x
12.3b6y
8.0b6z
8.0b6(-.f64 1 z)
8.0b6(-.f64 1 z)
Compiler

Compiled 49 to 32 computations (34.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.663664030322982e+179
1.8089572012803487e+180
0.0ms
2.8647276018433365e+99
9.857637875340943e+101
0.0ms
1.0000000000240614
1522577719.922361
0.0ms
0.9998336656510546
1.0
0.0ms
-2.0491301765695078e+152
-7.346820952631724e+147
Compiler

Compiled 16 to 12 computations (25% saved)

regimes93.0ms (2.5%)

Counts
4 → 6
Calls
Call 1
Inputs
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 (neg.f64 z))
(+.f64 y x)
(*.f64 z (neg.f64 x))
(*.f64 y (neg.f64 z))
Calls

3 calls:

33.0ms
y
33.0ms
x
24.0ms
z
Results
ErrorSegmentsBranch
19.3b9x
18.7b9y
8.6b6z
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch125.0ms (3.4%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
7.346820952631724e+147
2.0491301765695078e+152
18.0ms
0.24206959902655423
1267524.3352350637
17.0ms
-1522577718.922361
-2.4061406499523838e-11
40.0ms
-9.857637875340943e+101
-2.8647276018433365e+99
16.0ms
-1.8089572012803487e+180
-2.663664030322982e+179
Compiler

Compiled 368 to 276 computations (25% saved)

regimes55.0ms (1.5%)

Counts
3 → 3
Calls
Call 1
Inputs
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:

27.0ms
y
17.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
22.4b5x
21.4b7y
13.1b3z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch36.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.24206959902655423
1267524.3352350637
17.0ms
-1522577718.922361
-2.4061406499523838e-11
Compiler

Compiled 16 to 12 computations (25% saved)

regimes12.0ms (0.3%)

Accuracy

Total -18.4b remaining (-73%)

Threshold costs -18.4b (-73%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(+.f64 y x)
Outputs
(+.f64 y x)
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
25.2b1x
25.2b1y
25.2b1z
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify20.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
076322
1102322
2120322
3135322
4145322
5148322
6149322
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -1000000) (*.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 x -991288301770860672/79228162514264337593543950336) (-.f64 x (*.f64 z x)) (if (<=.f64 x -4692677155899909/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 y x) (if (<=.f64 x -556617275050805632/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (*.f64 z x)) (if (<=.f64 x -555940830406723968/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -8412653344959187/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (-.f64 x (*.f64 z x)) (if (<=.f64 x -3270875494946751/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -2383291681246434/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (*.f64 z (neg.f64 x)) (*.f64 y (-.f64 1 z)))))))))
(if (<=.f64 (-.f64 1 z) -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -269999999999999981766112660115682648041915348830533180623466453795787911212910286517935253599259489334602625235242997321961769284014610704997256445377035885477747188394081239695360) (*.f64 y (neg.f64 z)) (if (<=.f64 z -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (*.f64 z (neg.f64 x)) (if (<=.f64 z -6539421508389820416/4294967296) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4465395941268336640/18446744073709551616) (+.f64 y x) (if (<=.f64 z 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -6539421508389820416/4294967296) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4465395941268336640/18446744073709551616) (+.f64 y x) (*.f64 y (neg.f64 z))))
(+.f64 y x)
x
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -1000000) (*.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) -1000000) (*.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 x -991288301770860672/79228162514264337593543950336) (-.f64 x (*.f64 z x)) (if (<=.f64 x -4692677155899909/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 y x) (if (<=.f64 x -556617275050805632/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (*.f64 z x)) (if (<=.f64 x -555940830406723968/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -8412653344959187/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (-.f64 x (*.f64 z x)) (if (<=.f64 x -3270875494946751/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -2383291681246434/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (*.f64 z (neg.f64 x)) (*.f64 y (-.f64 1 z)))))))))
(if (<=.f64 x -7744439857584849/618970019642690137449562112) (-.f64 x (*.f64 x z)) (if (<=.f64 x -4692677155899909/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 x y) (if (<=.f64 x -4348572461334419/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (-.f64 x (*.f64 x z)) (if (<=.f64 x -4343287737552531/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -8412653344959187/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (-.f64 x (*.f64 x z)) (if (<=.f64 x -3270875494946751/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (*.f64 y (-.f64 1 z)) (if (<=.f64 x -1191645840623217/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (*.f64 z (neg.f64 x)) (*.f64 y (-.f64 1 z)))))))))
(if (<=.f64 (-.f64 1 z) -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 (-.f64 1 z) -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944) (-.f64 x (*.f64 x z)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 (-.f64 1 z) -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 (neg.f64 y) z) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552) (*.f64 (neg.f64 y) z) (if (<=.f64 (-.f64 1 z) 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944) (-.f64 x (*.f64 x z)) (*.f64 (neg.f64 y) z))))))
(if (<=.f64 (-.f64 1 z) -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 y)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552) (*.f64 z (neg.f64 y)) (if (<=.f64 (-.f64 1 z) 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944) (-.f64 x (*.f64 x z)) (*.f64 z (neg.f64 y)))))))
(if (<=.f64 z -269999999999999981766112660115682648041915348830533180623466453795787911212910286517935253599259489334602625235242997321961769284014610704997256445377035885477747188394081239695360) (*.f64 y (neg.f64 z)) (if (<=.f64 z -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (*.f64 z (neg.f64 x)) (if (<=.f64 z -6539421508389820416/4294967296) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4465395941268336640/18446744073709551616) (+.f64 y x) (if (<=.f64 z 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -269999999999999981766112660115682648041915348830533180623466453795787911212910286517935253599259489334602625235242997321961769284014610704997256445377035885477747188394081239695360) (*.f64 y (neg.f64 z)) (if (<=.f64 z -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (*.f64 z (neg.f64 x)) (if (<=.f64 z -3193076908393467/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (if (<=.f64 z 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -269999999999999981766112660115682648041915348830533180623466453795787911212910286517935253599259489334602625235242997321961769284014610704997256445377035885477747188394081239695360) (*.f64 (neg.f64 y) z) (if (<=.f64 z -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (*.f64 z (neg.f64 x)) (if (<=.f64 z -3193076908393467/2097152) (*.f64 (neg.f64 y) z) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (if (<=.f64 z 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 x)) (*.f64 (neg.f64 y) z))))))
(if (<=.f64 z -269999999999999981766112660115682648041915348830533180623466453795787911212910286517935253599259489334602625235242997321961769284014610704997256445377035885477747188394081239695360) (*.f64 z (neg.f64 y)) (if (<=.f64 z -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (*.f64 z (neg.f64 x)) (if (<=.f64 z -3193076908393467/2097152) (*.f64 z (neg.f64 y)) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (if (<=.f64 z 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008) (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 y)))))))
(if (<=.f64 z -6539421508389820416/4294967296) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4465395941268336640/18446744073709551616) (+.f64 y x) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -3193076908393467/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -3193076908393467/2097152) (*.f64 (neg.f64 y) z) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (*.f64 (neg.f64 y) z)))
(if (<=.f64 z -3193076908393467/2097152) (*.f64 z (neg.f64 y)) (if (<=.f64 z 1090184555973715/4503599627370496) (+.f64 x y) (*.f64 z (neg.f64 y))))
(+.f64 y x)
(+.f64 x y)
x
Compiler

Compiled 244 to 137 computations (43.9% saved)

soundness0.0ms (0%)

end87.0ms (2.3%)

Remove

(sort x y)

Compiler

Compiled 243 to 115 computations (52.7% saved)

Profiling

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