Details

Time bar (total: 2.6s)

analyze67.0ms (2.5%)

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
Compiler

Compiled 12 to 9 computations (25% saved)

sample1.1s (40.7%)

Results
720.0ms6717×body256valid
163.0ms705×body1024valid
145.0ms828×body512valid
21.0ms205×body256invalid
3.0msbody2048valid

preprocess46.0ms (1.8%)

Algorithm
egg-herbie
Rules
1016×fma-def_binary64
740×unsub-neg_binary64
552×sub-neg_binary64
405×distribute-neg-in_binary64
368×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
11922
24222
313222
451216
5222116
6570916
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 13 to 10 computations (23.1% saved)

simplify121.0ms (4.6%)

Algorithm
egg-herbie
Rules
840×unsub-neg_binary64
736×fma-def_binary64
420×distribute-neg-in_binary64
411×sub-neg_binary64
264×+-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11611
23711
311311
44098
516868
640868
756848
863748
966378
1067968
1168948
1270578
1374438
1476568
1578088
1678848
1779278
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)

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
16.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b
(-.f64 (fma.f64 x y 1) y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

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)
0.0ms
y
@inf
(-.f64 (fma.f64 x y 1) y)

rewrite51.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
672×pow1_binary64
624×add-log-exp_binary64
624×log1p-expm1-u_binary64
624×expm1-log1p-u_binary64
610×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11248
216328
Stop Event
node limit
Counts
1 → 37
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 cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3))))) (#(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 log1p.f64 (expm1.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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y 1) y)))))))

simplify20.0ms (0.8%)

Algorithm
egg-herbie
Rules
185×fma-def_binary64
162×fma-neg_binary64
31×sub-neg_binary64
25×unsub-neg_binary64
22×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017207
145171
2107171
3227171
4461171
5661171
6766171
7784171
Stop Event
saturated
Counts
61 → 47
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.4b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
2.4b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series5.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite69.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
433×log-prod_binary64
394×prod-exp_binary64
356×fma-def_binary64
329×exp-prod_binary64
323×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118021
2261621
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))
Outputs
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(fma.f64 y y y))) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 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 log1p.f64 (expm1.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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))))

simplify119.0ms (4.5%)

Algorithm
egg-herbie
Rules
832×unsub-neg_binary64
698×sub-neg_binary64
612×fma-neg_binary64
545×distribute-neg-in_binary64
443×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025667
163573
2163387
3430387
41451387
53651387
65160387
76446387
86824387
96990387
107048387
117123387
127704387
Stop Event
node limit
Counts
192 → 162
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)
(*.f64 (-.f64 1 (-.f64 1 y)) x)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)
(*.f64 (-.f64 1 (-.f64 1 y)) x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 y x 1) y)
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (neg.f64 (-.f64 1 y)) x)
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (neg.f64 (-.f64 1 y)) x)
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))

eval71.0ms (2.7%)

Compiler

Compiled 3103 to 1999 computations (35.6% saved)

prune35.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2036209
Fresh000
Picked101
Done101
Total2056211
Error
0b
Counts
211 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(-.f64 (*.f64 y x) y)
29.3b
(*.f64 y (-.f64 x 1))
33.7b
1
44.7b
(*.f64 y x)
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
18.7b
(-.f64 1 y)
Compiler

Compiled 69 to 47 computations (31.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 20 to 9 computations (55% saved)

series4.0ms (0.2%)

Counts
2 → 21
Calls

12 calls:

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

rewrite57.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
893×pow1_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
832×add-log-exp_binary64
816×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115413
2222313
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (*.f64 y x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 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 y x 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) (sqrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))) (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 y x 1)) (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y x) y) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (-.f64 (*.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 y x 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) (-.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 y x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 1)))))))

simplify24.0ms (0.9%)

Algorithm
egg-herbie
Rules
199×fma-def_binary64
137×fma-neg_binary64
31×sub-neg_binary64
28×unsub-neg_binary64
24×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015135
139117
294117
3212117
4429117
5632117
6752117
7784117
8785117
Stop Event
saturated
Counts
95 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(-.f64 1 y)
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
Outputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(fma.f64 y x (-.f64 1 y))
(-.f64 1 y)
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite41.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
599×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215407
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) y) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))))))

simplify15.0ms (0.6%)

Algorithm
egg-herbie
Rules
125×fma-def_binary64
76×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
15×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0774
11274
22274
32974
44474
57274
615574
729774
844174
947574
1047774
Stop Event
saturated
Counts
29 → 22
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 -1 x))
(-.f64 (*.f64 y x) y)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite81.0ms (3.1%)

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
215677
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2) (cbrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) (sqrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))))

simplify164.0ms (6.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
014158
137158
284158
3176158
4295158
5391158
6419158
Stop Event
saturated
Counts
62 → 44
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)

eval40.0ms (1.5%)

Compiler

Compiled 1709 to 862 computations (49.6% saved)

prune22.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1472149
Fresh101
Picked011
Done044
Total1487155
Error
0b
Counts
155 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(-.f64 (*.f64 y x) y)
29.3b
(*.f64 y (-.f64 x 1))
44.7b
(*.f64 y x)
33.7b
1
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
18.7b
(-.f64 1 y)
47.5b
(neg.f64 y)
Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(-.f64 (*.f64 y x) y)
29.3b
(*.f64 y (-.f64 x 1))
44.7b
(*.f64 y x)
33.7b
1
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
18.7b
(-.f64 1 y)
47.5b
(neg.f64 y)
Compiler

Compiled 40 to 28 computations (30% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(-.f64 (*.f64 y x) y)
29.3b
(*.f64 y (-.f64 x 1))
44.7b
(*.f64 y x)
33.7b
1
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
18.7b
(-.f64 1 y)
47.5b
(neg.f64 y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes21.0ms (0.8%)

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

4 calls:

6.0ms
y
5.0ms
x
4.0ms
(-.f64 1 y)
4.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 1 y)
0.0b1(-.f64 1 y)
Compiler

Compiled 44 to 26 computations (40.9% saved)

regimes47.0ms (1.8%)

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

4 calls:

15.0ms
y
13.0ms
x
9.0ms
(-.f64 1 y)
8.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
7.8b3x
9.3b3y
9.5b3(-.f64 1 y)
9.5b3(-.f64 1 y)
Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch101.0ms (3.9%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.7193464721373824e+37
1.1568929093361125e+44
82.0ms
-3.9270420332877367e+115
-4.836673088004053e+113
Compiler

Compiled 100 to 75 computations (25% saved)

regimes38.0ms (1.5%)

Counts
4 → 3
Calls
Call 1
Inputs
1
(neg.f64 y)
(-.f64 1 y)
(*.f64 y x)
Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)
Calls

4 calls:

11.0ms
x
11.0ms
y
8.0ms
(-.f64 1 y)
7.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
7.8b3x
16.7b3y
16.9b3(-.f64 1 y)
16.9b3(-.f64 1 y)
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch100.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
1.7193464721373824e+37
1.1568929093361125e+44
82.0ms
-3.9270420332877367e+115
-4.836673088004053e+113
Compiler

Compiled 100 to 75 computations (25% saved)

regimes17.0ms (0.7%)

Counts
3 → 1
Calls
Call 1
Inputs
1
(neg.f64 y)
(-.f64 1 y)
Outputs
(-.f64 1 y)
Calls

3 calls:

10.0ms
y
4.0ms
x
3.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
18.7b1x
18.7b1y
18.7b1(-.f64 1 y)
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes23.0ms (0.9%)

Accuracy

Total -42.9b remaining (-223.7%)

Threshold costs -42.9b (-223.7%)

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

2 calls:

11.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
30.8b3x
19.2b3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch39.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.3583391504686918e-9
32075.51690087317
19.0ms
-1.8490581912368364e-18
-5.023672360386747e-21
Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (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
02685
13885
24385
34485
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760) (*.f64 y x) (if (<=.f64 x 17193464721373824071090584730092961792) (-.f64 1 y) (*.f64 y (-.f64 x 1))))
(if (<=.f64 x -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760) (*.f64 y x) (if (<=.f64 x 17193464721373824071090584730092961792) (-.f64 1 y) (*.f64 y x)))
(-.f64 1 y)
(if (<=.f64 y -2400214759401779/1298074214633706907132624082305024) (neg.f64 y) (if (<=.f64 y 5702114180819263/2417851639229258349412352) 1 (neg.f64 y)))
1
Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760) (*.f64 y x) (if (<=.f64 x 17193464721373824071090584730092961792) (-.f64 1 y) (*.f64 y (-.f64 x 1))))
(if (<=.f64 x -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760) (*.f64 y x) (if (<=.f64 x 17193464721373824071090584730092961792) (-.f64 1 y) (*.f64 y (+.f64 x -1))))
(if (<=.f64 x -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760) (*.f64 y x) (if (<=.f64 x 17193464721373824071090584730092961792) (-.f64 1 y) (*.f64 y x)))
(-.f64 1 y)
(if (<=.f64 y -2400214759401779/1298074214633706907132624082305024) (neg.f64 y) (if (<=.f64 y 5702114180819263/2417851639229258349412352) 1 (neg.f64 y)))
1

end50.0ms (1.9%)

Stop Event
fuel
Compiler

Compiled 134 to 84 computations (37.3% saved)

Profiling

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