Details

Time bar (total: 3.3s)

analyze107.0ms (3.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
40.6%59.3%0.1%7
45.3%53.1%1.7%8
63.2%33.6%3.2%9
66%28.9%5.2%10
75.1%17.8%7.1%11
76.6%15%8.4%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (33.6%)

Results
1.0s8256×body256valid
39.0ms383×body256invalid

preprocess24.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
36×fma-neg_binary64
18×associate-/l*_binary64
16×sub-neg_binary64
16×times-frac_binary64
16×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11622
22422
33622
46622
511922
615522
720722
825622
929522
1029522
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-neg_binary64
17×fma-def_binary64
16×cancel-sign-sub-inv_binary64
16×sub-neg_binary64
9×fabs-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32711
44811
510211
615411
719611
823011
925711
1027111
1127111
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))

eval4.0ms (0.1%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@-inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
y
@inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite50.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
778×pow1_binary64
728×add-log-exp_binary64
728×log1p-expm1-u_binary64
728×expm1-log1p-u_binary64
713×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11617
225397
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.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 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 2) (cbrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) (sqrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) y)))))))

simplify18.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
33×fma-neg_binary64
27×fma-def_binary64
15×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
9×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014104
12788
25088
39788
416688
519488
622388
724388
825688
925688
Stop Event
1×saturated
Counts
46 → 41
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))

eval38.0ms (1.1%)

Compiler

Compiled 396 to 145 computations (63.4% saved)

prune8.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New37441
Fresh000
Picked101
Done000
Total38442
Error
0.0b
Counts
42 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.8b
(*.f64 (/.f64 (-.f64 x y) y) 1)
▶49.8b
(-.f64 (/.f64 x y) (/.f64 y y))
▶0.0b
(fabs.f64 (/.f64 (-.f64 y x) y))
▶49.9b
(*.f64 (/.f64 1 y) (-.f64 x y))
Compiler

Compiled 35 to 22 computations (37.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 y) (-.f64 x y))
✓0.2b
(*.f64 (/.f64 1 y) (-.f64 x y))
Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
805×pow1_binary64
750×add-log-exp_binary64
750×log1p-expm1-u_binary64
750×expm1-log1p-u_binary64
734×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
220307
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 y (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 x x (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 y)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) y)))))))

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07141
111141
212141
Stop Event
1×saturated
Counts
63 → 43
Calls
Call 1
Inputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
Outputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)

localize7.0ms (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 18 to 5 computations (72.2% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
787×pow1_binary64
738×add-log-exp_binary64
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
721×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11197
219037
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 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 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))))

simplify18.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
1×saturated
Counts
57 → 37
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
Outputs
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
782×pow1_binary64
731×add-log-exp_binary64
730×log1p-expm1-u_binary64
730×expm1-log1p-u_binary64
717×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11637
219757
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x y)) (/.f64 1 (*.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 (pow.f64 (/.f64 x y) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (+.f64 (pow.f64 (/.f64 x y) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 x y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (-.f64 x y))) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 x y)))))))

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07141
111141
212141
Stop Event
1×saturated
Counts
68 → 47
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
Outputs
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
771×pow1_binary64
723×add-log-exp_binary64
723×log1p-expm1-u_binary64
723×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11187
218727
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x y) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))))))

simplify14.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07141
111141
212141
Stop Event
1×saturated
Counts
57 → 35
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
Outputs
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)

eval53.0ms (1.6%)

Compiler

Compiled 1728 to 850 computations (50.8% saved)

prune31.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1557162
Fresh000
Picked101
Done303
Total1597166
Error
0b
Counts
166 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.8b
(+.f64 (/.f64 x y) -1)
63.1b
-1
▶27.3b
(fabs.f64 1)
▶0.0b
(fabs.f64 (-.f64 1 (/.f64 x y)))
▶54.0b
(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
34.5b
(fabs.f64 (/.f64 (neg.f64 x) y))
▶49.1b
(/.f64 x y)
Compiler

Compiled 87 to 61 computations (29.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
708×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217137
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))))

simplify16.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
1×saturated
Counts
52 → 33
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (/.f64 x y) -1)
0.0ms
x
@0
(+.f64 (/.f64 x y) -1)
0.0ms
x
@-inf
(+.f64 (/.f64 x y) -1)
0.0ms
y
@inf
(+.f64 (/.f64 x y) -1)
0.0ms
y
@0
(+.f64 (/.f64 x y) -1)

rewrite49.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
736×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
671×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217627
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (/.f64 x y) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x y) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07141
111141
212141
Stop Event
1×saturated
Counts
56 → 36
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
Outputs
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)

localize9.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
22.5b
(/.f64 (*.f64 y (-.f64 x y)) y)
0.0b
(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
0.0b
(*.f64 y (-.f64 x y))
✓0.0b
(*.f64 y (-.f64 x y))
✓0.0b
(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
✓22.5b
(/.f64 (*.f64 y (-.f64 x y)) y)
Compiler

Compiled 28 to 6 computations (78.6% saved)

series9.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 y (-.f64 x y))
1.0ms
x
@inf
(/.f64 (*.f64 y (-.f64 x y)) y)
1.0ms
y
@-inf
(*.f64 y (-.f64 x y))
0.0ms
y
@0
(*.f64 y (-.f64 x y))
0.0ms
x
@-inf
(*.f64 y (-.f64 x y))

rewrite80.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
504×log-prod_binary64
404×prod-diff_binary64
374×exp-prod_binary64
329×pow-prod-down_binary64
228×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0730
116230
2259118
Stop Event
1×node limit
Counts
3 → 217
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 x y)) y)
(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
(*.f64 y (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (/.f64 y (cbrt.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 -1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 y))) (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y 3) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (/.f64 (-.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (-.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (-.f64 x y))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (+.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 x y))) 1) (sqrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (/.f64 y (cbrt.f64 y))) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) y) (/.f64 (*.f64 y (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) 2) (/.f64 y (cbrt.f64 y))) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 x y))) (/.f64 y (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 x y))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 x y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 x y)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (-.f64 (*.f64 x x) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x y))) 2)) (cbrt.f64 (log.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x y)))) (sqrt.f64 (log.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (-.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 x y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1 (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1 (fma.f64 (neg.f64 (cbrt.f64 y)) (/.f64 y 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simplify51.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
863×fma-def_binary64
831×fma-neg_binary64
806×associate-/l/_binary64
554×associate-/l*_binary64
422×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014471
131435
247381
390381
4252381
5822381
61971381
74323381
Stop Event
1×node limit
Counts
289 → 231
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
Outputs
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 5 computations (0% saved)

eval76.0ms (2.3%)

Compiler

Compiled 3683 to 1427 computations (61.3% saved)

prune48.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2955300
Fresh202
Picked011
Done134
Total2989307
Error
0b
Counts
307 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓49.8b
(+.f64 (/.f64 x y) -1)
✓27.3b
(fabs.f64 1)
✓0.0b
(fabs.f64 (-.f64 1 (/.f64 x y)))
▶57.8b
(/.f64 (/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) y) y)
▶34.5b
(fabs.f64 (/.f64 (neg.f64 x) y))
▶63.2b
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
▶53.2b
(/.f64 (/.f64 (*.f64 y x) y) y)
63.1b
-1
✓49.1b
(/.f64 x y)
Compiler

Compiled 72 to 47 computations (34.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
14.8b
(/.f64 (*.f64 y x) y)
✓14.8b
(/.f64 (*.f64 y x) y)
Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite46.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
621×pow1_binary64
577×add-log-exp_binary64
577×log1p-expm1-u_binary64
577×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
215137
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
1×saturated
Counts
64 → 41
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
26.1b
(/.f64 (*.f64 y (neg.f64 y)) y)
✓26.1b
(/.f64 (*.f64 y (neg.f64 y)) y)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1.5%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
346×pow1_binary64
333×add-sqr-sqrt_binary64
327×*-un-lft-identity_binary64
323×add-log-exp_binary64
322×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11109
217909
059
Stop Event
1×iter limit
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(/.f64 (*.f64 y (neg.f64 y)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 y (/.f64 y (neg.f64 y)))) (cbrt.f64 (/.f64 y (/.f64 y (neg.f64 y))))) (cbrt.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 y (neg.f64 y)))) (sqrt.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 y (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 y (/.f64 y (neg.f64 y))) (/.f64 y (/.f64 y (neg.f64 y)))) (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 y (neg.f64 y)))))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3×sub-neg_binary64
2×+-commutative_binary64
2×fma-def_binary64
1×*-commutative_binary64
1×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0436
1636
2836
3936
41136
51536
61936
72436
Stop Event
1×saturated
Counts
22 → 12
Calls
Call 1
Inputs
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
Outputs
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)

localize11.0ms (0.3%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

localize27.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.3b
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))
1.5b
(*.f64 y (-.f64 (*.f64 x x) (*.f64 y y)))
1.4b
(-.f64 (*.f64 x x) (*.f64 y y))
0.0b
(/.f64 (/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) y) y)
✓1.4b
(-.f64 (*.f64 x x) (*.f64 y y))
✓1.5b
(*.f64 y (-.f64 (*.f64 x x) (*.f64 y y)))
✓11.3b
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))
✓22.5b
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) y)
Compiler

Compiled 74 to 10 computations (86.5% saved)

series11.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

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

rewrite108.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
709×log-prod_binary64
677×fma-def_binary64
292×fma-neg_binary64
238×log-div_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01064
124443
2409443
Stop Event
1×node limit
Counts
4 → 327
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) y)
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))
(*.f64 y (-.f64 (*.f64 x x) (*.f64 y y)))
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (/.f64 1 (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (*.f64 (/.f64 1 (+.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) (sqrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (/.f64 1 (-.f64 x y))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 y 1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) 2) y) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) y) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) 1) (/.f64 (/.f64 1 (+.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 (+.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (sqrt.f64 y)) (/.f64 (/.f64 1 (+.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (/.f64 1 (-.f64 x y)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 1 (-.f64 x y)) y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 (/.f64 1 (-.f64 x y)) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y y) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) (-.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y 1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y 1) (-.f64 x y)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 y 1) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y 1) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y 1) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y 1) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y 1) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y 1) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y 1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))) (sqrt.f64 (*.f64 (/.f64 y 1) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y x)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 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simplify77.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
671×unswap-sqr_binary64
387×distribute-rgt-in_binary64
371×distribute-rgt-neg-in_binary64
361×fma-def_binary64
338×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018849
149777
296723
3226723
4865723
52763723
67170723
Stop Event
1×node limit
Counts
423 → 348
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
Outputs
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y x))
(fma.f64 -1 (*.f64 y y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 y 3) (*.f64 y (*.f64 x x)))
(-.f64 (*.f64 y (*.f64 x x)) (pow.f64 y 3))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))

eval108.0ms (3.3%)

Compiler

Compiled 9207 to 2776 computations (69.8% saved)

prune65.0ms (2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3947401
Fresh011
Picked101
Done077
Total39515410
Error
0b
Counts
410 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓49.8b
(+.f64 (/.f64 x y) -1)
49.2b
(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
57.0b
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y x)) y) y)
52.9b
(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
53.3b
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) y)
✓0.0b
(fabs.f64 (-.f64 1 (/.f64 x y)))
63.2b
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y)) y)
✓63.2b
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
49.2b
(/.f64 (*.f64 y (*.f64 x (/.f64 1 y))) y)
✓49.1b
(/.f64 x y)
✓27.3b
(fabs.f64 1)
✓34.5b
(fabs.f64 (/.f64 (neg.f64 x) y))
✓53.2b
(/.f64 (/.f64 (*.f64 y x) y) y)
63.1b
-1
49.2b
(/.f64 (*.f64 x (*.f64 y (/.f64 1 y))) y)
Compiler

Compiled 137 to 90 computations (34.3% saved)

regimes43.0ms (1.3%)

Counts
15 → 1
Calls
Call 1
Inputs
-1
(/.f64 x y)
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (*.f64 y x) y) y)
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
(/.f64 (*.f64 x (*.f64 y (/.f64 1 y))) y)
(/.f64 (*.f64 y (*.f64 x (/.f64 1 y))) y)
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) y)
(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y)) y)
(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y x)) y) y)
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
Calls

2 calls:

28.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
Compiler

Compiled 115 to 61 computations (47% saved)

regimes98.0ms (3%)

Counts
14 → 5
Calls
Call 1
Inputs
-1
(/.f64 x y)
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (*.f64 y x) y) y)
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
(/.f64 (*.f64 x (*.f64 y (/.f64 1 y))) y)
(/.f64 (*.f64 y (*.f64 x (/.f64 1 y))) y)
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) y)
(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y)) y)
(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y x)) y) y)
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

2 calls:

47.0ms
x
47.0ms
y
Results
ErrorSegmentsBranch
13.5b5x
14.2b5y
Compiler

Compiled 109 to 58 computations (46.8% saved)

bsearch118.0ms (3.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
2.0339769433539062e+22
9.31727341125982e+27
26.0ms
-4.67035431253082e-21
-2.6039898596464568e-36
20.0ms
-3.6663046263187295e+27
-1.2929455695301371e+26
52.0ms
-2.9216283739660717e+169
-4.8481223571365246e+153
Compiler

Compiled 144 to 120 computations (16.7% saved)

regimes57.0ms (1.7%)

Counts
13 → 5
Calls
Call 1
Inputs
-1
(/.f64 x y)
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (*.f64 y x) y) y)
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
(/.f64 (*.f64 x (*.f64 y (/.f64 1 y))) y)
(/.f64 (*.f64 y (*.f64 x (/.f64 1 y))) y)
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) y)
(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y)) y)
(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y x)) y) y)
(fabs.f64 1)
Outputs
(fabs.f64 1)
(/.f64 x y)
(fabs.f64 1)
(+.f64 (/.f64 x y) -1)
(fabs.f64 1)
Calls

2 calls:

38.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
23.4b2x
21.7b5y
Compiler

Compiled 104 to 55 computations (47.1% saved)

bsearch163.0ms (4.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
9.86116815523921e+37
4.047275873753045e+39
18.0ms
0.06335512579798619
0.17788813838290995
84.0ms
8.993166888935259e-114
6.465893161934733e-112
43.0ms
-1.6574005897713768e-193
-7.266497030681024e-198
Compiler

Compiled 179 to 145 computations (19% saved)

regimes20.0ms (0.6%)

Accuracy

Total -14.3b remaining (-29.2%)

Threshold costs -14.3b (-29.2%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
(/.f64 x y)
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (*.f64 y x) y) y)
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
(/.f64 (*.f64 x (*.f64 y (/.f64 1 y))) y)
(/.f64 (*.f64 y (*.f64 x (/.f64 1 y))) y)
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) y)
(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 y)) y)
(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y x)) y) y)
Outputs
(/.f64 x y)
Calls

2 calls:

9.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
49.1b1x
49.1b1y
Compiler

Compiled 102 to 53 computations (48% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
6×sub-neg_binary64
4×fabs-mul_binary64
3×fabs-sub_binary64
2×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038102
15196
26596
37496
47896
57996
Stop Event
1×saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -3666304626318729509035048960) (fabs.f64 1) (if (<=.f64 x -1589239219827399680/340282366920938463463374607431768211456) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 20339769433539062267904) (fabs.f64 1) (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 y -5049730465486439/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (fabs.f64 1) (if (<=.f64 y 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 x y) (if (<=.f64 y 1168695791353124864/18446744073709551616) (fabs.f64 1) (if (<=.f64 y 98611681552392100687825128783662284800) (+.f64 (/.f64 x y) -1) (fabs.f64 1)))))
(/.f64 x y)
-1
Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -3666304626318729509035048960) (fabs.f64 1) (if (<=.f64 x -1589239219827399680/340282366920938463463374607431768211456) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 20339769433539062267904) (fabs.f64 1) (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -3666304626318729509035048960) 1 (if (<=.f64 x -1551991425612695/332306998946228968225951765070086144) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 20339769433539062267904) 1 (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -3666304626318729509035048960) 1 (if (<=.f64 x -1551991425612695/332306998946228968225951765070086144) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 20339769433539062267904) 1 (fabs.f64 (/.f64 x y))))))
(if (<=.f64 y -5049730465486439/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (fabs.f64 1) (if (<=.f64 y 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 x y) (if (<=.f64 y 1168695791353124864/18446744073709551616) (fabs.f64 1) (if (<=.f64 y 98611681552392100687825128783662284800) (+.f64 (/.f64 x y) -1) (fabs.f64 1)))))
(if (<=.f64 y -5049730465486439/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) 1 (if (<=.f64 y 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 x y) (if (<=.f64 y 570652241871643/9007199254740992) 1 (if (<=.f64 y 98611681552392100687825128783662284800) (+.f64 (/.f64 x y) -1) 1))))
(/.f64 x y)
-1

end47.0ms (1.4%)

Stop Event
1×fuel
Compiler

Compiled 146 to 89 computations (39% saved)

Profiling

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