Details

Time bar (total: 1.9s)

analyze546.0ms (29.4%)

Algorithm
1×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
25%72.2%2.9%9
34.3%60.3%5.4%10
41.3%51.6%7.1%11
46.8%44.2%9%12
53.2%35.8%11%13
58%29.1%12.9%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample922.0ms (49.7%)

Results
805.0ms8256×body128valid
101.0ms868×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess53.0ms (2.9%)

Algorithm
2×egg-herbie
Rules
937×fma-neg_binary64
564×fma-def_binary64
322×cancel-sign-sub-inv_binary64
129×associate--r+_binary64
126×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14244
27144
312440
419640
527740
642140
766540
8144240
9260440
10306840
11332340
12334040
13334040
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (+.f64 x -1) z))
(fma.f64 (+.f64 x -1) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z))
(fma.f64 y x (*.f64 z (+.f64 y -1)))
(fma.f64 x y (*.f64 z (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x z)) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x))
(fma.f64 z y (*.f64 x (+.f64 z -1)))
(fma.f64 x (+.f64 z -1) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y))
(fma.f64 x z (*.f64 y (+.f64 x -1)))
(-.f64 (*.f64 x (+.f64 z y)) y)
(fma.f64 x (+.f64 y z) (neg.f64 y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify19.0ms (1%)

Algorithm
1×egg-herbie
Rules
295×fma-neg_binary64
252×fma-def_binary64
95×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
41×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911
11811
22811
34310
46210
58710
613710
722310
847510
984110
10112910
11121510
12122010
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (+.f64 x -1) z))
(-.f64 (*.f64 x (+.f64 y z)) z)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Compiler

Compiled 43 to 27 computations (37.2% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.4%)

Counts
2 → 48
Calls

15 calls:

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

rewrite48.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
465×log-prod_binary64
376×fma-def_binary64
208×fma-neg_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119418
2264818
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) z) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))) (/.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3)) (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2)) (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3))) (neg.f64 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (+.f64 x -1)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x -1) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x -1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) z) 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 2) (cbrt.f64 (*.f64 (+.f64 x -1) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z)) (sqrt.f64 (*.f64 (+.f64 x -1) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 1))))))

simplify34.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
306×fma-def_binary64
243×fma-neg_binary64
53×cancel-sign-sub-inv_binary64
44×associate-*r*_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019394
143394
282394
3158394
4309394
5602394
61054394
71284394
81297394
Stop Event
1×saturated
Counts
139 → 104
Calls
Call 1
Inputs
(*.f64 -1 z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (+.f64 y z) x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (+.f64 y z) x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (-.f64 x 1) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 -1 (*.f64 (-.f64 1 x) z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
Outputs
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 -1 (*.f64 (-.f64 1 x) z))
(fma.f64 z x (neg.f64 z))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))

prune52.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1031104
Fresh000
Picked101
Done000
Total1041105
Error
0b
Counts
105 → 1
Alt Table
StatusErrorProgram
▶0b
(fma.f64 x y (*.f64 (+.f64 x -1) z))
Compiler

Compiled 1520 to 844 computations (44.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite32.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
645×pow1_binary64
597×add-log-exp_binary64
597×log1p-expm1-u_binary64
597×expm1-log1p-u_binary64
64×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215597
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (+.f64 x -1) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z -1) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) z) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) z)))))))

simplify19.0ms (1%)

Algorithm
1×egg-herbie
Rules
123×fma-def_binary64
78×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
16×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010158
120158
224158
331158
446158
573158
6154158
7296158
8436158
9470158
10472158
Stop Event
1×saturated
Counts
46 → 28
Calls
Call 1
Inputs
(*.f64 -1 z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (-.f64 x 1) z)
Outputs
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 z x)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 -1 x))
(fma.f64 z x (neg.f64 z))

prune13.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done000
Total28129
Error
0b
Counts
29 → 1
Alt Table
StatusErrorProgram
✓0b
(fma.f64 x y (*.f64 (+.f64 x -1) z))
Compiler

Compiled 315 to 180 computations (42.9% saved)

regimes38.0ms (2.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
16 → 1
Compiler

Compiled 126 to 58 computations (54% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y (*.f64 (+.f64 x -1) z))
Outputs
(fma.f64 x y (*.f64 (+.f64 x -1) z))

end53.0ms (2.9%)

Stop Event
1×done
Compiler

Compiled 33 to 21 computations (36.4% saved)

Profiling

Loading profile data...