Details

Time bar (total: 4.7s)

analyze222.0ms (4.8%)

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
25%71.8%3.3%9
34.3%60.1%5.6%10
41.3%51.5%7.2%11
46.8%44.1%9.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (23.9%)

Results
958.0ms8256×body256valid
145.0ms1230×body256invalid

preprocess101.0ms (2.2%)

Algorithm
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
419540
527640
642040
766540
8143940
9261940
10308340
11333840
12335540
13335540
033
Stop Event
saturated
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)
(fma.f64 x (+.f64 y z) (neg.f64 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)
(fma.f64 y (+.f64 x z) (neg.f64 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)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(-.f64 (*.f64 z (+.f64 x y)) 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 15 to 11 computations (26.7% saved)

simplify32.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0911
11811
22811
34610
46510
59010
614010
722410
847710
984910
10113710
11122810
12123310
Stop Event
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)

eval1.0ms (0%)

Compiler

Compiled 19 to 11 computations (42.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.2%)

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)
Compiler

Compiled 27 to 14 computations (48.1% saved)

series10.0ms (0.2%)

Counts
2 → 48
Calls

15 calls:

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

rewrite67.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
465×log-prod_binary64
414×prod-exp_binary64
376×fma-def_binary64
353×pow-prod-down_binary64
343×exp-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119418
2265418
Stop Event
node limit
Counts
2 → 114
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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z)) 2)) (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 (E.f64) (log.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x -1) z)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 x -1)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(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 -.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 x (*.f64 y (*.f64 (+.f64 x -1) z))))))))) (#(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 (E.f64) (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))) (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 1) 1))))) (#(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 (cbrt.f64 (*.f64 x x)) (*.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 (cbrt.f64 (*.f64 x x))) (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))))))

simplify48.0ms (1%)

Algorithm
egg-herbie
Rules
256×fma-neg_binary64
216×fma-def_binary64
92×cancel-sign-sub-inv_binary64
57×distribute-rgt-in_binary64
46×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022406
154394
2120394
3298394
4693394
51119394
61324394
71347394
Stop Event
saturated
Counts
162 → 130
Calls
Call 1
Inputs
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 -1 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (-.f64 x 1) z)
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (-.f64 x 1) z)
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (-.f64 x 1) z)
(fma.f64 -1 z (*.f64 z x))
(*.f64 z (+.f64 -1 x))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite80.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
470×fma-def_binary64
437×log-prod_binary64
434×prod-exp_binary64
349×pow-prod-down_binary64
319×exp-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116517
2256617
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(*.f64 x (+.f64 y z))
(-.f64 (*.f64 x (+.f64 y z)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (*.f64 x y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (cbrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (*.f64 (cbrt.f64 (+.f64 y z)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (*.f64 (cbrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (+.f64 y z) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y 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 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x z) z))))))

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Rules
309×fma-neg_binary64
284×fma-def_binary64
66×cancel-sign-sub-inv_binary64
55×associate-*r*_binary64
48×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024554
165554
2135554
3255554
4509554
5814554
61220554
71431554
81442554
Stop Event
saturated
Counts
267 → 210
Calls
Call 1
Inputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 -1 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
Outputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 (+.f64 y z) x) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 z x) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 (+.f64 y z) x) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 (+.f64 y z) x) z)

eval78.0ms (1.7%)

Compiler

Compiled 4884 to 1913 computations (60.8% saved)

prune55.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3328340
Fresh000
Picked011
Done101
Total3339342
Error
0b
Counts
342 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
36.5b
(*.f64 y x)
26.2b
(*.f64 (-.f64 x 1) z)
27.7b
(*.f64 (+.f64 y z) x)
35.5b
(neg.f64 z)
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b
(fma.f64 (+.f64 y z) x (neg.f64 z))
26.2b
(-.f64 (*.f64 z x) z)
9.6b
(-.f64 (*.f64 y x) z)
27.7b
(+.f64 (*.f64 x y) (*.f64 z x))
Compiler

Compiled 136 to 88 computations (35.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
723×pow1_binary64
670×add-log-exp_binary64
669×log1p-expm1-u_binary64
669×expm1-log1p-u_binary64
654×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11528
221408
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (+.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y z) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y z) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y z) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (+.f64 y z) x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 y z) x) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y z) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y z) x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x z)) 2) (cbrt.f64 (fma.f64 (+.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x z)) (sqrt.f64 (fma.f64 (+.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 (+.f64 y z) x) (*.f64 (+.f64 y z) x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (+.f64 y z) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 y z) x) (*.f64 (+.f64 y z) x)) (*.f64 z z)) (fma.f64 (+.f64 y z) x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y z) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y z) x z)))))))

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Rules
309×fma-neg_binary64
284×fma-def_binary64
66×cancel-sign-sub-inv_binary64
55×associate-*r*_binary64
48×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024320
165320
2135320
3255320
4510320
5818320
61227320
71438320
81449320
Stop Event
saturated
Counts
59 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 (-.f64 x 1) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(*.f64 -1 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
Outputs
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 z x) (*.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 z x) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) (*.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite50.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
663×add-log-exp_binary64
663×log1p-expm1-u_binary64
663×expm1-log1p-u_binary64
648×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217767
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (+.f64 y z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y z) x)))))))

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
saturated
Counts
45 → 25
Calls
Call 1
Inputs
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
Outputs
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 x (+.f64 z y))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217847
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 2) (cbrt.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) z)) (sqrt.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))) (neg.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y x) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 z))))))

simplify27.0ms (0.6%)

Algorithm
egg-herbie
Rules
90×fma-def_binary64
61×fma-neg_binary64
23×cancel-sign-sub-inv_binary64
16×unsub-neg_binary64
15×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08248
113221
219221
324221
440221
567221
6131221
7219221
8305221
9367221
10401221
11403221
Stop Event
saturated
Counts
73 → 42
Calls
Call 1
Inputs
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
(+.f64 (*.f64 -1 z) (*.f64 y x))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1 z) (*.f64 y x))
(fma.f64 -1 z (*.f64 y x))
(-.f64 (*.f64 y x) z)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite53.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
817×pow1_binary64
756×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
739×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078
11497
220607
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y z))) (/.f64 (pow.f64 (*.f64 x z) 2) (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (cbrt.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 1 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 y z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))) (neg.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))))))

simplify27.0ms (0.6%)

Algorithm
egg-herbie
Rules
90×fma-neg_binary64
85×fma-def_binary64
42×cancel-sign-sub-inv_binary64
38×distribute-rgt-in_binary64
34×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015234
135234
281234
3211234
4435234
5568234
6678234
7683234
Stop Event
saturated
Counts
75 → 44
Calls
Call 1
Inputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y x))
Outputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 (+.f64 y z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 (+.f64 y z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 (+.f64 y z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 z x) (*.f64 y x))
(*.f64 (+.f64 y z) x)

eval26.0ms (0.5%)

Compiler

Compiled 1578 to 489 computations (69% saved)

prune29.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1454149
Fresh213
Picked011
Done145
Total14810158
Error
0b
Counts
158 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
27.7b
(*.f64 (+.f64 y z) x)
35.5b
(neg.f64 z)
26.2b
(-.f64 (*.f64 z x) z)
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
36.5b
(*.f64 y x)
26.2b
(*.f64 (-.f64 x 1) z)
53.5b
(*.f64 z x)
9.6b
(fma.f64 y x (neg.f64 z))
9.6b
(-.f64 (*.f64 y x) z)
27.7b
(+.f64 (*.f64 x y) (*.f64 z x))
Compiler

Compiled 113 to 74 computations (34.5% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
628×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
571×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215737
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 z x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2) (cbrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) (sqrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))) (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z x z) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (fma.f64 z x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))) (neg.f64 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 z x) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (neg.f64 z))))))

simplify20.0ms (0.4%)

Algorithm
egg-herbie
Rules
82×fma-def_binary64
58×fma-neg_binary64
20×associate-*r*_binary64
18×unsub-neg_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014158
137158
288158
3180158
4300158
5397158
6425158
Stop Event
saturated
Counts
62 → 46
Calls
Call 1
Inputs
(*.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 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
(+.f64 (*.f64 -1 z) (*.f64 z x))
Outputs
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x))))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)
(+.f64 (*.f64 -1 z) (*.f64 z x))
(*.f64 (+.f64 x -1) z)
(-.f64 (*.f64 x z) z)

eval17.0ms (0.4%)

Compiler

Compiled 904 to 464 computations (48.7% saved)

prune18.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done099
Total9010100
Error
0b
Counts
100 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
27.7b
(*.f64 (+.f64 y z) x)
35.5b
(neg.f64 z)
26.2b
(-.f64 (*.f64 z x) z)
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
36.5b
(*.f64 y x)
26.2b
(*.f64 (-.f64 x 1) z)
53.5b
(*.f64 z x)
9.6b
(fma.f64 y x (neg.f64 z))
9.6b
(-.f64 (*.f64 y x) z)
27.7b
(+.f64 (*.f64 x y) (*.f64 z x))
Compiler

Compiled 77 to 50 computations (35.1% saved)

regimes39.0ms (0.8%)

Counts
14 → 1
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 y z) x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 x y) (*.f64 z x))
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 y x (neg.f64 z))
(fma.f64 (+.f64 y z) x (neg.f64 z))
Outputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
Calls

4 calls:

10.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
9.0ms
x
8.0ms
z
8.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Compiler

Compiled 98 to 40 computations (59.2% saved)

regimes37.0ms (0.8%)

Counts
13 → 1
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 y z) x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 x y) (*.f64 z x))
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 y x (neg.f64 z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Calls

4 calls:

9.0ms
z
8.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
8.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Compiler

Compiled 91 to 39 computations (57.1% saved)

regimes27.0ms (0.6%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 y z) x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 x y) (*.f64 z x))
(-.f64 (*.f64 x (+.f64 y z)) z)
Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
Calls

3 calls:

10.0ms
z
8.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
Compiler

Compiled 65 to 26 computations (60% saved)

regimes62.0ms (1.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
(*.f64 (+.f64 y z) x)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 x y) (*.f64 z x))
Outputs
(*.f64 (+.f64 y z) x)
(-.f64 (*.f64 y x) z)
(+.f64 (*.f64 x y) (*.f64 z x))
Calls

3 calls:

23.0ms
x
23.0ms
y
12.0ms
z
Results
ErrorSegmentsBranch
1.0b3x
5.8b3y
8.1b2z
Compiler

Compiled 58 to 24 computations (58.6% saved)

bsearch68.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
0.00015829680585962314
634662.5995063038
19.0ms
-1074.8939322039207
-362.4884556283587
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes171.0ms (3.7%)

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

3 calls:

134.0ms
x
21.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
1.0b3x
5.8b3y
8.1b2z
Compiler

Compiled 51 to 22 computations (56.9% saved)

bsearch38.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.00015829680585962314
634662.5995063038
19.0ms
-1074.8939322039207
-362.4884556283587
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes188.0ms (4%)

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

3 calls:

117.0ms
x
43.0ms
y
18.0ms
z
Results
ErrorSegmentsBranch
12.5b3x
14.1b3y
12.3b3z
Compiler

Compiled 46 to 21 computations (54.3% saved)

bsearch40.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
5.19973242426416e-63
1.811205152140118e-60
20.0ms
-2.306932934271634e-45
-1.9150676777350214e-47
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes80.0ms (1.7%)

Counts
6 → 3
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x 1) z)
Outputs
(*.f64 (-.f64 x 1) z)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
Calls

3 calls:

37.0ms
x
24.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
17.6b7x
14.6b3y
14.0b3z
Compiler

Compiled 36 to 19 computations (47.2% saved)

bsearch39.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.1004284753178592e-81
2.0582058506493217e-80
19.0ms
-4.1387530806619617e-103
-8.851756949431955e-104
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes95.0ms (2%)

Counts
5 → 3
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
Outputs
(-.f64 (*.f64 z x) z)
(*.f64 y x)
(-.f64 (*.f64 z x) z)
Calls

3 calls:

44.0ms
y
33.0ms
x
16.0ms
z
Results
ErrorSegmentsBranch
17.6b7x
14.6b3y
14.0b3z
Compiler

Compiled 31 to 16 computations (48.4% saved)

bsearch83.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.1004284753178592e-81
2.0582058506493217e-80
62.0ms
-4.1387530806619617e-103
-8.851756949431955e-104
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes226.0ms (4.8%)

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

3 calls:

166.0ms
x
45.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
17.9b8x
23.3b3y
21.8b3z
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch569.0ms (12.2%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
3.777973998362889e+164
3.1730964147931592e+168
37.0ms
1.722178985279387e+78
2.258248359315031e+79
300.0ms
3.9681519230364654e+35
1.3836572085890652e+41
127.0ms
634662.5995063038
7206380.496354574
33.0ms
4.657281829991664e-26
7.572204053359855e-25
19.0ms
1.116453541673691e-81
1.3769338521398656e-77
19.0ms
-6.0173010790558064e-58
-6.392544083949953e-59
Compiler

Compiled 340 to 243 computations (28.5% saved)

regimes43.0ms (0.9%)

Accuracy

Total -40.8b remaining (-192.2%)

Threshold costs -40.8b (-192.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 y x)
Outputs
(*.f64 y x)
(neg.f64 z)
(*.f64 y x)
Calls

3 calls:

15.0ms
x
15.0ms
y
12.0ms
z
Results
ErrorSegmentsBranch
21.2b3x
23.3b3y
21.8b3z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch39.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.116453541673691e-81
1.3769338521398656e-77
20.0ms
-6.0173010790558064e-58
-6.392544083949953e-59
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
065293
184293
290293
391293
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -4727433508336313/4398046511104) (*.f64 (+.f64 y z) x) (if (<=.f64 x 5840121330756309/36893488147419103232) (-.f64 (*.f64 y x) z) (+.f64 (*.f64 x y) (*.f64 z x))))
(if (<=.f64 x -4727433508336313/4398046511104) (*.f64 (+.f64 y z) x) (if (<=.f64 x 5840121330756309/36893488147419103232) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 z -7414196595270227/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (-.f64 x 1) z) (if (<=.f64 z 4816703047044497/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 (+.f64 y z) x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 (-.f64 x 1) z) (if (<=.f64 z 4701001914474321/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 y x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 (*.f64 z x) z) (if (<=.f64 z 4701001914474321/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 y x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 x -8505320599534045/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (neg.f64 z) (if (<=.f64 x 8114129328780509/174224571863520493293247799005065324265472) (*.f64 y x) (if (<=.f64 x 5451710217747841/8589934592) (neg.f64 z) (if (<=.f64 x 1650000000000000104526356573113917898752) (*.f64 z x) (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 y x) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 z x) (*.f64 y x))))))))
(if (<=.f64 x -8505320599534045/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (neg.f64 z) (*.f64 y x)))
(neg.f64 z)
Outputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 z (+.f64 x -1)) (*.f64 y x))
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(if (<=.f64 x -4727433508336313/4398046511104) (*.f64 (+.f64 y z) x) (if (<=.f64 x 5840121330756309/36893488147419103232) (-.f64 (*.f64 y x) z) (+.f64 (*.f64 x y) (*.f64 z x))))
(if (<=.f64 x -4727433508336313/4398046511104) (*.f64 (+.f64 y z) x) (if (<=.f64 x 5840121330756309/36893488147419103232) (-.f64 (*.f64 y x) z) (+.f64 (*.f64 y x) (*.f64 z x))))
(if (<=.f64 x -4727433508336313/4398046511104) (*.f64 (+.f64 y z) x) (if (<=.f64 x 5840121330756309/36893488147419103232) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 z -7414196595270227/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (-.f64 x 1) z) (if (<=.f64 z 4816703047044497/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 (+.f64 y z) x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -7414196595270227/3213876088517980551083924184682325205044405987565585670602752) (*.f64 z (+.f64 x -1)) (if (<=.f64 z 4816703047044497/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 (+.f64 y z) x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 (-.f64 x 1) z) (if (<=.f64 z 4701001914474321/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 y x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 z (+.f64 x -1)) (if (<=.f64 z 4701001914474321/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 y x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 (*.f64 z x) z) (if (<=.f64 z 4701001914474321/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 y x) (-.f64 (*.f64 z x) z)))
(if (<=.f64 x -8505320599534045/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (neg.f64 z) (if (<=.f64 x 8114129328780509/174224571863520493293247799005065324265472) (*.f64 y x) (if (<=.f64 x 5451710217747841/8589934592) (neg.f64 z) (if (<=.f64 x 1650000000000000104526356573113917898752) (*.f64 z x) (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 y x) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 z x) (*.f64 y x))))))))
(if (<=.f64 x -8505320599534045/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (neg.f64 z) (*.f64 y x)))
(neg.f64 z)
Compiler

Compiled 237 to 133 computations (43.9% saved)

soundness99.0ms (2.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0911
11811
22811
34610
46510
59010
614010
722410
847710
984910
10113710
11122810
12123310
Stop Event
saturated
Compiler

Compiled 116 to 75 computations (35.3% saved)

end258.0ms (5.5%)

Compiler

Compiled 207 to 80 computations (61.4% saved)

Profiling

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