Details

Time bar (total: 3.6s)

analyze358.0ms (10%)

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)

sample1.3s (35.4%)

Results
1.1s8255×body256valid
115.0ms1125×body256invalid
0.0msbody1024valid

preprocess233.0ms (6.5%)

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)

simplify77.0ms (2.2%)

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))

eval0.0ms (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)

series7.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
z
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@0
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
x
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms
y
@inf
(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite58.0ms (1.6%)

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))))))))

simplify76.0ms (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 (0.3%)

Compiler

Compiled 624 to 311 computations (50.2% saved)

prune12.0ms (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
30.4b
(*.f64 y (-.f64 1 z))
42.2b
(*.f64 z (-.f64 (neg.f64 y) x))
20.9b
(+.f64 y x)
32.6b
(-.f64 x (*.f64 z x))
32.6b
(*.f64 (-.f64 1 z) x)
Compiler

Compiled 78 to 54 computations (30.8% saved)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite51.0ms (1.4%)

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 y (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) y) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) y) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 z))))))))

simplify21.0ms (0.6%)

Algorithm
egg-herbie
Rules
133×fma-def_binary64
90×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0885
11476
23076
34676
46476
512876
625376
735976
845776
953376
Stop Event
saturated
Counts
29 → 23
Calls
Call 1
Inputs
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
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 y (-.f64 1 z))

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)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite57.0ms (1.6%)

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 (0.5%)

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))
0.0ms
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))

rewrite49.0ms (1.4%)

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)))))))

simplify28.0ms (0.8%)

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)

series7.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
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))
1.0ms
x
@0
(*.f64 z (-.f64 (neg.f64 y) x))

rewrite48.0ms (1.3%)

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))))))))

simplify31.0ms (0.9%)

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))

eval23.0ms (0.6%)

Compiler

Compiled 1111 to 466 computations (58.1% saved)

prune22.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1144118
Fresh000
Picked011
Done044
Total1149123
Error
0b
Counts
123 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.4b
y
42.2b
(*.f64 z (-.f64 (neg.f64 y) x))
32.6b
(*.f64 (-.f64 1 z) x)
42.2b
x
51.5b
(*.f64 y (neg.f64 z))
30.4b
(*.f64 y (-.f64 1 z))
53.0b
(*.f64 z (neg.f64 x))
20.9b
(+.f64 y x)
32.6b
(-.f64 x (*.f64 z x))
Compiler

Compiled 61 to 43 computations (29.5% saved)

localize9.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0.2%)

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

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done066
Total099
Error
0b
Counts
9 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.4b
y
42.2b
(*.f64 z (-.f64 (neg.f64 y) x))
32.6b
(*.f64 (-.f64 1 z) x)
42.2b
x
51.5b
(*.f64 y (neg.f64 z))
30.4b
(*.f64 y (-.f64 1 z))
53.0b
(*.f64 z (neg.f64 x))
20.9b
(+.f64 y x)
32.6b
(-.f64 x (*.f64 z x))
Compiler

Compiled 61 to 43 computations (29.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done077
Total099
Error
0b
Counts
9 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.4b
y
42.2b
(*.f64 z (-.f64 (neg.f64 y) x))
32.6b
(*.f64 (-.f64 1 z) x)
42.2b
x
51.5b
(*.f64 y (neg.f64 z))
30.4b
(*.f64 y (-.f64 1 z))
53.0b
(*.f64 z (neg.f64 x))
20.9b
(+.f64 y x)
32.6b
(-.f64 x (*.f64 z x))
Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes48.0ms (1.3%)

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 1 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:

9.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))
8.0ms
(-.f64 1 z)
8.0ms
(+.f64 x y)
7.0ms
x
6.0ms
y
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 48 computations (38.5% saved)

regimes143.0ms (4%)

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 1 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:

54.0ms
x
34.0ms
(-.f64 1 z)
27.0ms
y
16.0ms
z
8.0ms
(-.f64 1 z)
Results
ErrorSegmentsBranch
10.2b2x
8.5b5y
1.5b3z
1.5b3(-.f64 1 z)
1.5b3(-.f64 1 z)
Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000001865709434
433.59138076847006
0.0ms
-34.04186107993135
0.9801180345047023
Compiler

Compiled 16 to 12 computations (25% saved)

regimes163.0ms (4.6%)

Counts
8 → 5
Calls
Call 1
Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 y (-.f64 1 z))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
Outputs
(*.f64 z (neg.f64 x))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z x))
(+.f64 y x)
(*.f64 y (-.f64 1 z))
Calls

5 calls:

55.0ms
y
54.0ms
x
25.0ms
z
13.0ms
(-.f64 1 z)
13.0ms
(-.f64 1 z)
Results
ErrorSegmentsBranch
10.2b2x
8.5b5y
6.2b5z
6.2b5(-.f64 1 z)
6.2b5(-.f64 1 z)
Compiler

Compiled 55 to 35 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000002
1.0000000000013143
0.0ms
0.9999694093784203
1.0
0.0ms
-6.966192058473547e+90
-2.984601023990298e+79
0.0ms
-8.586944633075084e+205
-6.8640057947715685e+205
Compiler

Compiled 16 to 12 computations (25% saved)

regimes129.0ms (3.6%)

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 1 z))
Outputs
(*.f64 z (neg.f64 x))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 y x)
(*.f64 y (-.f64 1 z))
Calls

5 calls:

55.0ms
y
25.0ms
z
22.0ms
x
13.0ms
(-.f64 1 z)
13.0ms
(-.f64 1 z)
Results
ErrorSegmentsBranch
12.4b4x
15.2b4y
6.7b5z
6.7b5(-.f64 1 z)
6.7b5(-.f64 1 z)
Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000002
1.0000000000013143
0.0ms
-34.04186107993135
0.9801180345047023
0.0ms
-6.966192058473547e+90
-2.984601023990298e+79
0.0ms
-8.586944633075084e+205
-6.8640057947715685e+205
Compiler

Compiled 16 to 12 computations (25% saved)

regimes93.0ms (2.6%)

Counts
5 → 5
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 y x)
(*.f64 z (neg.f64 x))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 x))
Calls

3 calls:

65.0ms
x
22.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
18.6b5x
20.9b1y
7.5b5z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch98.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
9.0ms
6.8640057947715685e+205
8.586944633075084e+205
54.0ms
2.984601023990298e+79
6.966192058473547e+90
17.0ms
0.01988196549529779
35.04186107993135
18.0ms
-432.59138076847006
-1.8657094339579323e-7
Compiler

Compiled 224 to 168 computations (25% saved)

regimes57.0ms (1.6%)

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:

11.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
20.9b1x
20.9b1y
10.9b3z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch34.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.01988196549529779
35.04186107993135
17.0ms
-432.59138076847006
-1.8657094339579323e-7
Compiler

Compiled 16 to 12 computations (25% saved)

regimes18.0ms (0.5%)

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

3 calls:

10.0ms
y
4.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
20.9b1x
20.9b1y
20.9b1z
Compiler

Compiled 20 to 13 computations (35% saved)

regimes32.0ms (0.9%)

Accuracy

Total -36.1b remaining (-139.4%)

Threshold costs -36.1b (-139.4%)

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

3 calls:

13.0ms
x
9.0ms
z
8.0ms
y
Results
ErrorSegmentsBranch
25.9b4x
28.6b2y
37.1b2z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch60.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
-1.3571155631350517e-94
-5.4617395584073085e-95
26.0ms
-1.1724524457345529e-32
-4.389331335006924e-35
17.0ms
-62147770860.630646
-34002.02076565434
Compiler

Compiled 16 to 12 computations (25% saved)

simplify44.0ms (1.2%)

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
063288
189288
2107288
3122288
4132288
5135288
6136288
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -20) (*.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) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 y x) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -20) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 y x) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 z (neg.f64 x)) (if (<=.f64 z 69999999999999995593736963541507161064685440599936214188342124829509014472581118516538527161955974555639754534966037149818610719245344870206711729905766385978320898317872191337454840377445177849034643079168) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (*.f64 y (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 x -2036458155561145/32768) x (if (<=.f64 x -17135411691336706/1461501637330902918203684832716283019655932542976) y (if (<=.f64 x -5099589903628415/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) x y)))
y
Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -20) (*.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) -20) (*.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 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 y x) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 x y) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 x y) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -20) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 y x) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -20) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 x y) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 (-.f64 1 z) -80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512) (*.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -20) (*.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 562949953421875/562949953421312) (+.f64 x y) (*.f64 y (-.f64 1 z))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 z (neg.f64 x)) (if (<=.f64 z 69999999999999995593736963541507161064685440599936214188342124829509014472581118516538527161955974555639754534966037149818610719245344870206711729905766385978320898317872191337454840377445177849034643079168) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 1432646598336259/72057594037927936) (+.f64 x y) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 z (neg.f64 x)) (if (<=.f64 z 69999999999999995593736963541507161064685440599936214188342124829509014472581118516538527161955974555639754534966037149818610719245344870206711729905766385978320898317872191337454840377445177849034643079168) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 1432646598336259/72057594037927936) (+.f64 x y) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 x (neg.f64 z)) (if (<=.f64 z 69999999999999995593736963541507161064685440599936214188342124829509014472581118516538527161955974555639754534966037149818610719245344870206711729905766385978320898317872191337454840377445177849034643079168) (*.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y (neg.f64 z)) (if (<=.f64 z 1432646598336259/72057594037927936) (+.f64 x y) (*.f64 y (neg.f64 z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x -2036458155561145/32768) x (if (<=.f64 x -17135411691336706/1461501637330902918203684832716283019655932542976) y (if (<=.f64 x -5099589903628415/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) x y)))
(if (<=.f64 x -2036458155561145/32768) x (if (<=.f64 x -8567705845668353/730750818665451459101842416358141509827966271488) y (if (<=.f64 x -5099589903628415/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) x y)))
y
Compiler

Compiled 224 to 136 computations (39.3% saved)

soundness0.0ms (0%)

end116.0ms (3.3%)

Remove

(sort x y)

Compiler

Compiled 220 to 112 computations (49.1% saved)

Profiling

Loading profile data...