Details

Time bar (total: 4.9s)

analyze201.0ms (4.1%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
29.6%70.2%0.1%9
42.1%57.7%0.1%10
47.6%52.1%0.3%11
53.8%44.6%1.6%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (29.5%)

Results
1.2s8256×body256valid
225.0ms1901×body256invalid

preprocess245.0ms (5%)

Algorithm
2×egg-herbie
Rules
1612×fma-neg_binary64
563×fma-def_binary64
490×div-sub_binary64
453×associate-/l*_binary64
453×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13740
27340
314040
430740
563240
6157540
7364140
8429540
9457640
10473840
11479440
12572640
13577840
14599440
15685840
16768440
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(-.f64 y (/.f64 (-.f64 y x) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(-.f64 z (/.f64 (-.f64 z y) x))
(+.f64 x (/.f64 (-.f64 z x) y))
(-.f64 x (/.f64 (-.f64 x z) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify160.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
377×fma-neg_binary64
307×fma-def_binary64
119×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
56×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34210
48810
516610
638510
772410
8121510
9150010
10159310
11167110
12167510
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series12.0ms (0.2%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms
x
@inf
(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms
y
@-inf
(/.f64 (-.f64 y x) z)
1.0ms
x
@-inf
(/.f64 (-.f64 y x) z)
1.0ms
y
@0
(/.f64 (-.f64 y x) z)

rewrite75.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
462×log-prod_binary64
362×fma-def_binary64
354×exp-prod_binary64
315×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116717
2273117
Stop Event
1×node limit
Counts
2 → 144
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
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2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 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)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) 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(-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 y x) z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))))

simplify191.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
325×fma-def_binary64
311×fma-neg_binary64
73×distribute-rgt-in_binary64
71×cancel-sign-sub-inv_binary64
45×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027661
161585
2107468
3199468
4368468
5661468
61026468
71232468
81331468
91412468
101502468
Stop Event
1×saturated
Counts
204 → 161
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
Outputs
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))

eval51.0ms (1%)

Compiler

Compiled 2175 to 675 computations (69% saved)

prune161.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1565161
Fresh000
Picked011
Done000
Total1566162
Error
0b
Counts
162 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
▶25.7b
(-.f64 x (/.f64 x z))
▶25.7b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
▶12.9b
(+.f64 x (/.f64 y z))
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
38.3b
x
Compiler

Compiled 52 to 35 computations (32.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite50.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
735×pow1_binary64
682×add-log-exp_binary64
682×log1p-expm1-u_binary64
682×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114810
2187310
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z -3)) x) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z -3))) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z -2))) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 1 z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 1 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 -1 z))))))))

simplify28.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
199×fma-def_binary64
132×fma-neg_binary64
45×cancel-sign-sub-inv_binary64
26×distribute-rgt-in_binary64
24×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0780
11371
22271
33271
44771
58971
614871
725071
849571
979771
1082171
1185171
1286171
Stop Event
1×saturated
Counts
31 → 24
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
Outputs
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))

localize5.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓0.0b
(/.f64 z (-.f64 y x))
✓0.4b
(pow.f64 (/.f64 z (-.f64 y x)) -1)
Compiler

Compiled 31 to 11 computations (64.5% saved)

series19.0ms (0.4%)

Counts
3 → 96
Calls

27 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(pow.f64 (/.f64 z (-.f64 y x)) -1)
2.0ms
x
@0
(pow.f64 (/.f64 z (-.f64 y x)) -1)
2.0ms
y
@0
(pow.f64 (/.f64 z (-.f64 y x)) -1)
1.0ms
z
@0
(pow.f64 (/.f64 z (-.f64 y x)) -1)
1.0ms
z
@inf
(pow.f64 (/.f64 z (-.f64 y x)) -1)

rewrite94.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
987×prod-diff_binary64
504×log-prod_binary64
331×fma-def_binary64
282×pow2_binary64
193×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
120624
2303124
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(/.f64 z (-.f64 y x))
(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (pow.f64 (/.f64 1 (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 z (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 y x)) (/.f64 z (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 z (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) 2)) (cbrt.f64 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))))))
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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 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(sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (pow.f64 (/.f64 1 (-.f64 y x)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (-.f64 y x)) x)))))

simplify391.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
706×fma-def_binary64
505×associate-+l+_binary64
368×unsub-neg_binary64
362×associate-+r+_binary64
309×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351293
14741275
218481053
367141053
Stop Event
1×node limit
Counts
243 → 194
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) z)) (*.f64 -1 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z)))) (+.f64 (/.f64 (pow.f64 y 3) z) (*.f64 -1 (/.f64 (pow.f64 y 3) z)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))))
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)) (+.f64 (/.f64 z y) (/.f64 (*.f64 z x) (pow.f64 y 2)))))
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) z)) (*.f64 -1 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))))))) (pow.f64 x 2))) (+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (/.f64 y z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z)))) (+.f64 (/.f64 (pow.f64 y 3) z) (*.f64 -1 (/.f64 (pow.f64 y 3) z)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (/.f64 y z)))))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 x (/.f64 y z))) (/.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x)))) (pow.f64 y 2))) (+.f64 x (/.f64 y z)))) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 x (/.f64 y z)))) (/.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x))) (pow.f64 y 2))) (+.f64 x (/.f64 y z))))) (/.f64 x z))
Outputs
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) z)) (*.f64 -1 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z))))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 z x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) z) (*.f64 -1 (/.f64 (pow.f64 y 2) z)))) (+.f64 (/.f64 (pow.f64 y 3) z) (*.f64 -1 (/.f64 (pow.f64 y 3) z)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 z x)) (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 z x)) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
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(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 x (/.f64 y z)))) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) z)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z)) x))) (pow.f64 y 2))) (+.f64 x (/.f64 y z))))) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite231.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217897
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 1 z)) x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2) (cbrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))) (neg.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (*.f64 x (/.f64 (neg.f64 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (-.f64 x (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) z))))))

simplify61.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
74×fma-neg_binary64
28×distribute-rgt-in_binary64
25×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014218
132218
267155
3132155
4223155
5385155
6621155
7649155
Stop Event
1×saturated
Counts
60 → 43
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
Outputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))

eval277.0ms (5.6%)

Compiler

Compiled 4052 to 1715 computations (57.7% saved)

prune57.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2583261
Fresh101
Picked011
Done134
Total2607267
Error
0b
Counts
267 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
38.3b
x
▶50.6b
(/.f64 (neg.f64 x) z)
✓25.7b
(-.f64 x (/.f64 x z))
✓25.7b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓12.9b
(+.f64 x (/.f64 y z))
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 59 to 40 computations (32.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b
(/.f64 z (-.f64 y x))
✓0.4b
(/.f64 1 (/.f64 z (-.f64 y x)))
Compiler

Compiled 31 to 11 computations (64.5% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite86.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
355×fma-def_binary64
346×pow-prod-down_binary64
278×pow2_binary64
191×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120517
2308017
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 1 (/.f64 z (-.f64 y x)))
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z -1)) (*.f64 (neg.f64 x) (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 z -1) y) (*.f64 (pow.f64 z -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) -2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) 1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 y x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 y x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 z) (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (pow.f64 z -1) (*.f64 (neg.f64 x) (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1) y (*.f64 (pow.f64 z -1) (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) -2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3)) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3)) (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) -2)) (-.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) -2))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 z (-.f64 y x)) -2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 y x)) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 y x) z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (pow.f64 z -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) (-.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) -2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z -1) 1) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z -1) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z -1) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)))))

simplify66.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
325×fma-def_binary64
307×fma-neg_binary64
73×distribute-rgt-in_binary64
71×cancel-sign-sub-inv_binary64
46×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027669
161669
2106552
3198552
4367552
5661552
61021552
71227552
81323552
91404552
101494552
Stop Event
1×saturated
Counts
195 → 140
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
Outputs
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval41.0ms (0.8%)

Compiler

Compiled 2734 to 1037 computations (62.1% saved)

prune59.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1941195
Fresh011
Picked011
Done145
Total1957202
Error
0b
Counts
202 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.6b
(/.f64 (neg.f64 x) z)
38.3b
x
✓25.7b
(-.f64 x (/.f64 x z))
✓25.7b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓12.9b
(+.f64 x (/.f64 y z))
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
▶25.7b
(+.f64 x (/.f64 1 (/.f64 (neg.f64 z) x)))
Compiler

Compiled 58 to 40 computations (31% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 1 (/.f64 (neg.f64 z) x)))
✓1.1b
(/.f64 1 (/.f64 (neg.f64 z) x))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 1 (/.f64 (neg.f64 z) x))
1.0ms
x
@inf
(/.f64 1 (/.f64 (neg.f64 z) x))
0.0ms
z
@inf
(/.f64 1 (/.f64 (neg.f64 z) x))
0.0ms
x
@0
(/.f64 1 (/.f64 (neg.f64 z) x))
0.0ms
x
@inf
(+.f64 x (/.f64 1 (/.f64 (neg.f64 z) x)))

rewrite150.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
840×pow1_binary64
785×add-log-exp_binary64
785×log1p-expm1-u_binary64
785×expm1-log1p-u_binary64
766×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117911
2275411
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (neg.f64 z) x))
(+.f64 x (/.f64 1 (/.f64 (neg.f64 z) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 z x)) -1) (pow.f64 (sqrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) 2) (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 x z)) 2) (/.f64 1 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) 2) (cbrt.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 x z))) (sqrt.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x z)) (pow.f64 (+.f64 x (/.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 x z)) 2) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3)) (fma.f64 x x (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 x z)) 2)) (neg.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z x) -3)) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) x x)))))

simplify28.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
70×fma-neg_binary64
28×distribute-rgt-in_binary64
25×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014362
132362
267299
3132299
4223299
5383299
6613299
7641299
Stop Event
1×saturated
Counts
130 → 87
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
Outputs
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))

eval32.0ms (0.6%)

Compiler

Compiled 936 to 378 computations (59.6% saved)

prune15.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New87087
Fresh011
Picked011
Done055
Total87794
Error
0b
Counts
94 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.6b
(/.f64 (neg.f64 x) z)
38.3b
x
✓25.7b
(-.f64 x (/.f64 x z))
✓25.7b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓12.9b
(+.f64 x (/.f64 y z))
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
✓25.7b
(+.f64 x (/.f64 1 (/.f64 (neg.f64 z) x)))
Compiler

Compiled 58 to 40 computations (31% saved)

regimes171.0ms (3.5%)

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

4 calls:

149.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms
x
6.0ms
z
6.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 81 to 44 computations (45.7% saved)

regimes177.0ms (3.6%)

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

3 calls:

141.0ms
y
21.0ms
x
13.0ms
z
Results
ErrorSegmentsBranch
7.4b3x
6.8b3y
9.9b3z
Compiler

Compiled 38 to 23 computations (39.5% saved)

bsearch57.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
7.511525384072633e-142
5.269488687561202e-140
40.0ms
-7.521334495371785e-48
-2.9009658538287556e-55
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes59.0ms (1.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
x
(/.f64 (neg.f64 x) z)
(-.f64 x (/.f64 x z))
Outputs
(-.f64 x (/.f64 x z))
Calls

3 calls:

50.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
25.7b1x
25.7b1y
25.7b1z
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes31.0ms (0.6%)

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

3 calls:

10.0ms
x
9.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
37.0b3x
37.3b3y
27.0b3z
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch36.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.03720605636403665
219.5320002606499
19.0ms
-40.05829275334659
-0.12351334472213248
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
38.3b1x
38.3b1y
38.3b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify31.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02671
13671
24271
34571
44671
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -6188195094635733/822752278660603021077484591278675252491367932816789931674304512) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5156510188059349/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(-.f64 x (/.f64 x z))
(if (<=.f64 z -1409425877477109/35184372088832) x (if (<=.f64 z 1340489452616009/36028797018963968) (/.f64 (neg.f64 x) z) x))
x
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -6188195094635733/822752278660603021077484591278675252491367932816789931674304512) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5156510188059349/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(-.f64 x (/.f64 x z))
(if (<=.f64 z -1409425877477109/35184372088832) x (if (<=.f64 z 1340489452616009/36028797018963968) (/.f64 (neg.f64 x) z) x))
x
Compiler

Compiled 65 to 38 computations (41.5% saved)

soundness0.0ms (0%)

end35.0ms (0.7%)

Compiler

Compiled 53 to 24 computations (54.7% saved)

Profiling

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