Details

Time bar (total: 1.7s)

analyze126.0ms (7.3%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
59.3%35.9%4.8%8
67.1%25.8%7.1%9
72.6%19.1%8.3%10
76.9%13.5%9.7%11
79.8%9.9%10.3%12
82%6.9%11.1%13
83.6%5%11.4%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample1.1s (64.6%)

Results
615.0ms6186×body128valid
213.0ms745×body1024valid
175.0ms805×body512valid
79.0ms509×body256valid
11.0ms124×body128invalid
3.0ms11×body2048valid
Compiler

Compiled 24 to 18 computations (25% saved)

preprocess30.0ms (1.7%)

Algorithm
egg-herbie
Rules
1016×fma-def_binary64
368×fma-neg_binary64
337×unsub-neg_binary64
317×associate--l+_binary64
241×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
11922
24222
313222
451216
5222116
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify32.0ms (1.8%)

Algorithm
egg-herbie
Rules
736×fma-def_binary64
523×unsub-neg_binary64
291×distribute-neg-in_binary64
256×sub-neg_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11611
23711
311311
44098
516868
640868
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
15.1b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b
(-.f64 (fma.f64 x y 1) y)
Compiler

Compiled 55 to 37 computations (32.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x y 1) y)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (fma.f64 x y 1) y)
1.0ms
x
@0
(-.f64 (fma.f64 x y 1) y)
1.0ms
x
@inf
(-.f64 (fma.f64 x y 1) y)
1.0ms
y
@inf
(-.f64 (fma.f64 x y 1) y)
1.0ms
y
@-inf
(-.f64 (fma.f64 x y 1) y)

rewrite40.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
672×pow1_binary64
624×add-log-exp_binary64
624×log1p-expm1-u_binary64
624×expm1-log1p-u_binary64
65×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11248
216328
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) (sqrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))) (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 x y 1)) (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x y 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (cbrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y 1) y)))))))

simplify21.0ms (1.2%)

Algorithm
egg-herbie
Rules
162×fma-def_binary64
148×fma-neg_binary64
27×associate--r+_binary64
25×sub-neg_binary64
24×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014171
133171
271171
3144171
4279171
5475171
6650171
7730171
8741171
Stop Event
saturated
Counts
62 → 46
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
1
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y (-.f64 x 1))
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 -1 (*.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
Outputs
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
1
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 (-.f64 1 x) y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)

prune28.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done000
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
15.1b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b
(-.f64 (fma.f64 x y 1) y)
Compiler

Compiled 599 to 360 computations (39.9% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
3.2b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

series5.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite54.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
433×log-prod_binary64
356×fma-def_binary64
167×expm1-udef_binary64
165×log1p-udef_binary64
161×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118021
2261621
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) (neg.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) 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y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1))))))

simplify72.0ms (4.1%)

Algorithm
egg-herbie
Rules
522×fma-neg_binary64
302×fma-def_binary64
80×sub-neg_binary64
74×associate--r+_binary64
58×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
018409
148409
2126405
3297405
4677387
51342387
61751387
71844387
81854387
Stop Event
saturated
Counts
169 → 134
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
1
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 y (-.f64 x 1))
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(*.f64 -1 (*.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 1) (+.f64 y x))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 y x) 1) y)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 (*.f64 y x) 1) y)
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1
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(*.f64 (-.f64 x 1) (-.f64 y 1))

prune93.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136
Error
0b
Counts
136 → 2
Alt Table
StatusErrorProgram
15.1b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b
(-.f64 (fma.f64 x y 1) y)
Compiler

Compiled 2158 to 1436 computations (33.5% saved)

regimes52.0ms (3%)

Accuracy

Total -0.0b remaining (-14.3%)

Threshold costs -0.0b (-14.3%)

Counts
17 → 1
Compiler

Compiled 142 to 87 computations (38.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
2148
3168
4178
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 1 y))
Outputs
(fma.f64 y x (-.f64 1 y))

end40.0ms (2.3%)

Stop Event
done
Compiler

Compiled 35 to 23 computations (34.3% saved)

Profiling

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