Details

Time bar (total: 3.6s)

analyze68.0ms (1.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
62.3%59.3%35.9%0.1%4.7%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
79.1%72.6%19.1%0.1%8.2%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
89%79.8%9.9%0.1%10.2%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample939.0ms (26.2%)

Results
902.0ms8254×body256valid
23.0ms234×body256infinite
0.0ms1×body1024valid
0.0ms1×body512valid
Bogosity

preprocess63.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
650×fma-def_binary64
317×fma-neg_binary64
120×cancel-sign-sub-inv_binary64
74×distribute-rgt-in_binary64
62×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12220
24516
312316
426516
554616
6109316
7180816
8198016
9199816
10199816
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(-.f64 (*.f64 x (+.f64 1 y)) y)
(fma.f64 x (+.f64 1 y) (neg.f64 y))
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (-.f64 x 1) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify35.0ms (1%)

Algorithm
1×egg-herbie
Rules
406×fma-def_binary64
257×fma-neg_binary64
73×cancel-sign-sub-inv_binary64
42×distribute-rgt-in_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11410
2278
3668
41328
52618
64908
79218
812508
912998
1013088
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)

eval1.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune5.0ms (0.1%)

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

Compiled 17 to 10 computations (41.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series6.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite71.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
840×pow1_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
780×add-log-exp_binary64
765×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2211217
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(*.f64 (+.f64 x 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))))) (#(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 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(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 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 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 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))))))

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
286×fma-def_binary64
228×fma-neg_binary64
70×cancel-sign-sub-inv_binary64
37×distribute-rgt-in_binary64
35×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020332
144286
290286
3193286
4422286
5845286
61124286
71153286
81156286
Stop Event
1×saturated
Counts
104 → 69
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
Outputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
y
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 4 computations (71.4% saved)

series41.0ms (1.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
36.0ms
y
@0
(-.f64 (fma.f64 x y y) x)
1.0ms
y
@-inf
(-.f64 (fma.f64 x y y) x)
1.0ms
x
@-inf
(-.f64 (fma.f64 x y y) x)
1.0ms
y
@inf
(-.f64 (fma.f64 x y y) x)
1.0ms
x
@0
(-.f64 (fma.f64 x y y) x)

rewrite77.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
651×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
11118
215838
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (sqrt.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y)))) (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x y y)) (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x)) (+.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x y y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x y y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x y y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2) (cbrt.f64 (fma.f64 x y y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))))))

simplify76.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
185×fma-neg_binary64
182×fma-def_binary64
44×unsub-neg_binary64
43×distribute-rgt-in_binary64
40×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
154176
2132172
3350172
4668172
5931172
61004172
71008172
Stop Event
1×saturated
Counts
61 → 51
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
Outputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 y -1) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 y x (-.f64 y x))

eval43.0ms (1.2%)

Compiler

Compiled 1440 to 512 computations (64.4% saved)

prune40.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1146120
Fresh000
Picked101
Done101
Total1166122
Error
0b
Counts
122 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
35.9b
y
▶27.2b
(-.f64 (*.f64 y x) x)
▶0.0b
(-.f64 (+.f64 (*.f64 y x) y) x)
▶26.5b
(*.f64 (+.f64 1 x) y)
▶37.4b
(neg.f64 x)
▶27.2b
(*.f64 (-.f64 y 1) x)
Compiler

Compiled 71 to 46 computations (35.2% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series29.0ms (0.8%)

Counts
2 → 45
Calls

12 calls:

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

rewrite113.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
917×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
839×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
114313
2227913
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (-.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x y) x)) (sqrt.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y)))) (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y x y)) (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (*.f64 y x) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y x y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y x y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 y x) (-.f64 y x))) (-.f64 (*.f64 y x) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (-.f64 y x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.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 (-.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 y (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.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 (-.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (-.f64 (*.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 (-.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)))))

simplify91.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
196×fma-def_binary64
177×fma-neg_binary64
43×unsub-neg_binary64
40×distribute-rgt-in_binary64
40×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023347
158271
2135271
3310271
4630271
5903271
6967271
7971271
Stop Event
1×saturated
Counts
130 → 101
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
y
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(fma.f64 x y (neg.f64 x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(fma.f64 x y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
y
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)

localize5.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite82.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
604×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
215207
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))))))

simplify19.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
4×associate-*r*_binary64
4×associate-*l*_binary64
3×*-lft-identity_binary64
3×*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0654
1854
21254
31654
42254
52854
64154
74554
84754
Stop Event
1×saturated
Counts
31 → 22
Calls
Call 1
Inputs
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
Outputs
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

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

rewrite108.0ms (3%)

Algorithm
1×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
215437
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))))

simplify71.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0774
11474
22374
32874
44374
57174
615474
729974
844374
947774
1047974
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite74.0ms (2.1%)

Algorithm
1×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
215727
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))))))

simplify70.0ms (2%)

Algorithm
1×egg-herbie
Rules
85×fma-def_binary64
53×fma-neg_binary64
21×associate-*l*_binary64
17×cancel-sign-sub-inv_binary64
17×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014158
132158
266158
3136158
4278158
5390158
6448158
7452158
Stop Event
1×saturated
Counts
62 → 46
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))

eval91.0ms (2.5%)

Compiler

Compiled 2064 to 769 computations (62.7% saved)

prune86.0ms (2.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1883191
Fresh101
Picked011
Done044
Total1898197
Error
0b
Counts
197 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.2b
(*.f64 (-.f64 y 1) x)
▶53.4b
(*.f64 y x)
▶26.5b
(+.f64 (*.f64 y x) y)
35.9b
y
✓27.2b
(-.f64 (*.f64 y x) x)
✓0.0b
(-.f64 (+.f64 (*.f64 y x) y) x)
✓26.5b
(*.f64 (+.f64 1 x) y)
✓37.4b
(neg.f64 x)
Compiler

Compiled 49 to 31 computations (36.7% saved)

localize6.0ms (0.2%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

eval32.0ms (0.9%)

Compiler

Compiled 432 to 160 computations (63% saved)

prune34.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done066
Total40848
Error
0b
Counts
48 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.2b
(*.f64 (-.f64 y 1) x)
✓53.4b
(*.f64 y x)
✓26.5b
(+.f64 (*.f64 y x) y)
35.9b
y
✓27.2b
(-.f64 (*.f64 y x) x)
✓0.0b
(-.f64 (+.f64 (*.f64 y x) y) x)
✓26.5b
(*.f64 (+.f64 1 x) y)
✓37.4b
(neg.f64 x)
Compiler

Compiled 49 to 31 computations (36.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.2b
(*.f64 (-.f64 y 1) x)
✓53.4b
(*.f64 y x)
✓26.5b
(+.f64 (*.f64 y x) y)
35.9b
y
✓27.2b
(-.f64 (*.f64 y x) x)
✓0.0b
(-.f64 (+.f64 (*.f64 y x) y) x)
✓26.5b
(*.f64 (+.f64 1 x) y)
✓37.4b
(neg.f64 x)
Compiler

Compiled 49 to 31 computations (36.7% saved)

regimes26.0ms (0.7%)

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

3 calls:

8.0ms
x
8.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
7.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 64 to 29 computations (54.7% saved)

regimes63.0ms (1.8%)

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

3 calls:

42.0ms
y
12.0ms
x
7.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 58 to 27 computations (53.4% saved)

regimes75.0ms (2.1%)

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

2 calls:

18.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
8.2b3y
Compiler

Compiled 35 to 16 computations (54.3% saved)

bsearch39.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
7.123178213401636e-57
6.775049741027718e-51
19.0ms
-13074684.626674337
-505.05319600842694
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.9%)

Counts
7 → 3
Calls
Call 1
Inputs
y
y
(neg.f64 x)
(*.f64 y x)
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 x) y)
Outputs
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 x) y)
(-.f64 (*.f64 y x) x)
Calls

2 calls:

16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
8.2b3y
Compiler

Compiled 30 to 13 computations (56.7% saved)

bsearch62.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
45.0ms
7.123178213401636e-57
6.775049741027718e-51
17.0ms
-13074684.626674337
-505.05319600842694
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (1%)

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

2 calls:

17.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
8.2b3y
Compiler

Compiled 25 to 10 computations (60% saved)

bsearch105.0ms (2.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
7.123178213401636e-57
6.775049741027718e-51
88.0ms
-13074684.626674337
-505.05319600842694
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes34.0ms (0.9%)

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

2 calls:

17.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
16.8b3x
8.3b3y
Compiler

Compiled 20 to 9 computations (55% saved)

bsearch36.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
2.2955365779880831e-29
2.0249729044723358e-22
17.0ms
-1.4036274192456728e-9
-1.1042135343366164e-10
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes38.0ms (1.1%)

Counts
4 → 7
Calls
Call 1
Inputs
y
y
(neg.f64 x)
(*.f64 y x)
Outputs
y
(neg.f64 x)
y
(*.f64 y x)
y
(*.f64 y x)
y
Calls

2 calls:

25.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
17.4b3x
15.2b7y
Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch238.0ms (6.6%)

Algorithm
6×binary-search
Steps
TimeLeftRight
111.0ms
6.83313346740075e+48
3.797656278469361e+53
17.0ms
1.0088307958376626e+35
7.88215644772225e+35
30.0ms
4964495694362770.0
441105183826517400.0
30.0ms
646180.6945878172
11557256.74259532
28.0ms
2.2955365779880831e-29
2.0249729044723358e-22
21.0ms
-1.4036274192456728e-9
-1.1042135343366164e-10
Compiler

Compiled 94 to 66 computations (29.8% saved)

regimes22.0ms (0.6%)

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

2 calls:

11.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
17.4b3x
17.5b3y
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch67.0ms (1.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
7.123178213401636e-57
6.775049741027718e-51
52.0ms
-9.89106774016047e-5
-1.624525987697842e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
35.9b1x
35.9b1y
Compiler

Compiled 10 to 6 computations (40% saved)

simplify11.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050217
165217
271217
372217
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 (+.f64 1 x) y) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 (+.f64 1 x) y) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) (+.f64 (*.f64 y x) y) (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (+.f64 (*.f64 y x) y)))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) y (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (if (<=.f64 y 2775324950561239/4294967296) y (if (<=.f64 y 4964495694362770) (*.f64 y x) (if (<=.f64 y 100883079583766262318237399474241536) y (if (<=.f64 y 6999999999999999495624517169466564524548282122240) (*.f64 y x) y))))))
(if (<=.f64 x -7298319808738595/73786976294838206464) (neg.f64 x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) y (neg.f64 x)))
y
Outputs
(-.f64 (fma.f64 x y y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 x y)) x)
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 (+.f64 1 x) y) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 x y) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 y (+.f64 x 1)) (*.f64 x (+.f64 y -1))))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 (+.f64 1 x) y) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 x y) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 y (+.f64 x 1)) (-.f64 (*.f64 x y) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 x y) x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 y (*.f64 x y)) (-.f64 (*.f64 x y) x)))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) (+.f64 (*.f64 y x) y) (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (+.f64 (*.f64 y x) y)))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) (+.f64 y (*.f64 x y)) (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (+.f64 y (*.f64 x y))))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) y (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (if (<=.f64 y 2775324950561239/4294967296) y (if (<=.f64 y 4964495694362770) (*.f64 y x) (if (<=.f64 y 100883079583766262318237399474241536) y (if (<=.f64 y 6999999999999999495624517169466564524548282122240) (*.f64 y x) y))))))
(if (<=.f64 y -6787525712980567/4835703278458516698824704) y (if (<=.f64 y 4095374105569533/178405961588244985132285746181186892047843328) (neg.f64 x) (if (<=.f64 y 2775324950561239/4294967296) y (if (<=.f64 y 4964495694362770) (*.f64 x y) (if (<=.f64 y 100883079583766262318237399474241536) y (if (<=.f64 y 6999999999999999495624517169466564524548282122240) (*.f64 x y) y))))))
(if (<=.f64 x -7298319808738595/73786976294838206464) (neg.f64 x) (if (<=.f64 x 393298953695063/55213970774324510299478046898216203619608871777363092441300193790394368) y (neg.f64 x)))
y
Compiler

Compiled 170 to 93 computations (45.3% saved)

soundness56.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
406×fma-def_binary64
257×fma-neg_binary64
73×cancel-sign-sub-inv_binary64
42×distribute-rgt-in_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11410
2278
3668
41328
52618
64908
79218
812508
912998
1013088
Stop Event
1×saturated
Compiler

Compiled 26 to 15 computations (42.3% saved)

end136.0ms (3.8%)

Compiler

Compiled 154 to 66 computations (57.1% saved)

Profiling

Loading profile data...