Details

Time bar (total: 6.9s)

analyze31.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%37.5%62.5%0
0%37.5%62.5%1
0%18.7%81.3%2
0%9.4%90.6%3
0%9.4%90.6%4
0%7%93%5
1.2%4.7%94.1%6
1.2%3.5%95.3%7
1.8%2.6%95.6%8
2%1.9%96%9
2.4%1.3%96.3%10
2.6%1%96.5%11
2.7%0.7%96.6%12
Compiler

Compiled 26 to 15 computations (42.3% saved)

sample2.2s (32.2%)

Results
1.9s8256×body256valid
243.0ms755×body256invalid

preprocess67.0ms (1%)

Algorithm
egg-herbie
Rules
746×fma-neg_binary64
359×fabs-div_binary64
352×distribute-neg-frac_binary64
303×associate-/l*_binary64
297×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
14734
213730
339430
4128230
5545830
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 a a) (*.f64 b b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 (/.f64 a b) b) -1)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify71.0ms (1%)

Algorithm
egg-herbie
Rules
704×fma-def_binary64
600×associate-/r*_binary64
558×associate-*l*_binary64
489×associate-*r*_binary64
362×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
12617
27215
320115
454915
5197915
6766915
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

eval1.0ms (0%)

Compiler

Compiled 25 to 13 computations (48% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
15.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
15.8b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
15.8b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 27 to 16 computations (40.7% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
15.3b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
15.3b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Compiler

Compiled 53 to 8 computations (84.9% saved)

series11.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
2.0ms
b
@inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
a
@inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
b
@0
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
b
@-inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

rewrite138.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
765×prod-diff_binary64
451×log-prod_binary64
391×fma-def_binary64
295×pow-prod-down_binary64
226×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0726
117023
2272220
Stop Event
node limit
Counts
2 → 205
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) 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5) (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (neg.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 5)))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 5) (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (neg.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 5)))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 5) (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) 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(pow.f64 (hypot.f64 a b) 2)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (neg.f64 b))) 2) (cbrt.f64 (*.f64 b (neg.f64 b))) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) (sqrt.f64 (*.f64 b (neg.f64 b))) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) 1) b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))))

simplify70.0ms (1%)

Algorithm
egg-herbie
Rules
772×associate-/l*_binary64
467×associate-/r*_binary64
408×fma-def_binary64
362×associate-/l/_binary64
324×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013537
130483
268483
3211483
4989483
55535483
Stop Event
node limit
Counts
253 → 216
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
15.7b
(/.f64 b (*.f64 a a))
0.0b
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
0.0b
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
15.7b
(/.f64 b (*.f64 a a))
Compiler

Compiled 40 to 14 computations (65% saved)

series13.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/.f64 b (*.f64 a a))
1.0ms
b
@inf
(/.f64 b (*.f64 a a))
1.0ms
b
@0
(/.f64 b (*.f64 a a))
1.0ms
b
@-inf
(/.f64 b (*.f64 a a))
1.0ms
b
@-inf
(fma.f64 b (/.f64 b (*.f64 a a)) -1)

rewrite89.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
731×pow1_binary64
677×add-log-exp_binary64
677×log1p-expm1-u_binary64
677×expm1-log1p-u_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114218
2182718
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 b (*.f64 a a))
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 a a))) (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))) (cbrt.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 b (cbrt.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 a a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 b (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (/.f64 b (*.f64 a a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2) (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 b (*.f64 a a))) 3) -1) (+.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))) 1) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))))

simplify78.0ms (1.1%)

Algorithm
egg-herbie
Rules
677×unswap-sqr_binary64
580×times-frac_binary64
504×fma-def_binary64
391×associate-+l+_binary64
368×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011435
122435
237399
388399
4348399
52754399
64459399
75608399
Stop Event
node limit
Counts
101 → 60
Calls
Call 1
Inputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
Outputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)

eval203.0ms (3%)

Compiler

Compiled 5555 to 2217 computations (60.1% saved)

prune110.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2733276
Fresh000
Picked101
Done101
Total2753278
Error
0b
Counts
278 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
2.1b
(sqrt.f64 (fabs.f64 1))
0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
61.2b
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize23.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
15.7b
(/.f64 b (*.f64 a a))
14.6b
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
0.2b
(*.f64 b (/.f64 b (*.f64 a a)))
0.2b
(*.f64 b (/.f64 b (*.f64 a a)))
14.6b
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
15.7b
(/.f64 b (*.f64 a a))
Compiler

Compiled 36 to 7 computations (80.6% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@0
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
1.0ms
a
@0
(*.f64 b (/.f64 b (*.f64 a a)))
1.0ms
b
@inf
(*.f64 b (/.f64 b (*.f64 a a)))
1.0ms
b
@0
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
1.0ms
b
@inf
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))

rewrite112.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
776×pow1_binary64
723×add-log-exp_binary64
723×log1p-expm1-u_binary64
723×expm1-log1p-u_binary64
704×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
117111
2234611
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(*.f64 b (/.f64 b (*.f64 a a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 a (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (*.f64 b b)) (fabs.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) 1) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b (pow.f64 a -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 b a) 2)))))))

simplify110.0ms (1.6%)

Algorithm
egg-herbie
Rules
1163×associate-/r/_binary64
948×fabs-div_binary64
605×fabs-mul_binary64
570×unswap-sqr_binary64
555×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
09576
120528
240384
399336
4384336
52809336
65568336
76059336
86255336
96469336
106734336
Stop Event
node limit
Counts
117 → 72
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(fabs.f64 (/.f64 b a))
(/.f64 b a)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 a a)))

localize32.0ms (0.5%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(/.f64 b (*.f64 a (/.f64 a b)))
0.2b
(*.f64 a (/.f64 a b))
0.0b
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
0.0b
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
0.2b
(*.f64 a (/.f64 a b))
0.2b
(/.f64 b (*.f64 a (/.f64 a b)))
Compiler

Compiled 50 to 15 computations (70% saved)

series20.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
4.0ms
b
@-inf
(*.f64 a (/.f64 a b))
1.0ms
b
@0
(*.f64 a (/.f64 a b))
1.0ms
a
@0
(*.f64 a (/.f64 a b))
1.0ms
a
@inf
(*.f64 a (/.f64 a b))

rewrite120.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
985×pow1_binary64
917×add-log-exp_binary64
917×log1p-expm1-u_binary64
917×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
117524
2249924
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(/.f64 b (*.f64 a (/.f64 a b)))
(*.f64 a (/.f64 a b))
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 (/.f64 b a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 (/.f64 b a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 b a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (/.f64 b (cbrt.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a (sqrt.f64 b))) (/.f64 b (/.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (sqrt.f64 b))) (/.f64 (cbrt.f64 b) (/.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 b a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)) (+.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2))) (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2)))) (-.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))

simplify95.0ms (1.4%)

Algorithm
egg-herbie
Rules
622×associate-/l*_binary64
525×div-sub_binary64
495×fma-def_binary64
394×associate-/r*_binary64
362×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012717
126681
254681
3157681
4763681
54591681
66628681
Stop Event
node limit
Counts
163 → 100
Calls
Call 1
Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
(/.f64 (pow.f64 a 2) b)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
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(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
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(/.f64 (pow.f64 b 2) (pow.f64 a 2))
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(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
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(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (/.f64 b (*.f64 a a)) b)
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(/.f64 (pow.f64 b 2) (pow.f64 a 2))
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(*.f64 (/.f64 b a) (/.f64 b a))
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(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
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(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
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(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
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(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
(/.f64 (pow.f64 a 2) b)
(/.f64 (*.f64 a a) b)
(/.f64 a (/.f64 b a))
(*.f64 (/.f64 a b) a)
(*.f64 a (/.f64 a b))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1)

localize11.0ms (0.2%)

Compiler

Compiled 8 to 8 computations (0% saved)

eval107.0ms (1.6%)

Compiler

Compiled 2551 to 1468 computations (42.5% saved)

prune62.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2024206
Fresh000
Picked011
Done112
Total2036209
Error
0b
Counts
209 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
59.7b
(/.f64 b a)
59.7b
(/.f64 1 (/.f64 a b))
59.7b
(*.f64 b (/.f64 1 a))
61.2b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
2.1b
(sqrt.f64 (fabs.f64 1))
0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.4b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
0.0b
(+.f64 1 (/.f64 b a))
0.0b
(+.f64 1 (/.f64 b a))
9.4b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
Compiler

Compiled 20 to 10 computations (50% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(-.f64 (+.f64 1 (/.f64 b a)) 1)
1.0ms
b
@0
(-.f64 (+.f64 1 (/.f64 b a)) 1)
1.0ms
a
@-inf
(-.f64 (+.f64 1 (/.f64 b a)) 1)
1.0ms
a
@inf
(-.f64 (+.f64 1 (/.f64 b a)) 1)
1.0ms
a
@0
(-.f64 (+.f64 1 (/.f64 b a)) 1)

rewrite98.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
842×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
116011
2227111
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(+.f64 1 (/.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 b a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (-.f64 (+.f64 1 (/.f64 b a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (cbrt.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))) (+.f64 1 (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (neg.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1) (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 1)))))

simplify40.0ms (0.6%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06237
19237
Stop Event
saturated
Counts
145 → 99
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 b (/.f64 1 a))
0.2b
(*.f64 b (/.f64 1 a))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(*.f64 b (/.f64 1 a))
1.0ms
b
@0
(*.f64 b (/.f64 1 a))
1.0ms
b
@inf
(*.f64 b (/.f64 1 a))
0.0ms
a
@inf
(*.f64 b (/.f64 1 a))
0.0ms
a
@0
(*.f64 b (/.f64 1 a))

rewrite67.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
537×pow1_binary64
514×add-sqr-sqrt_binary64
495×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11204
214244
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 b (/.f64 1 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))))

simplify35.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
45 → 21
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 a b))
0.3b
(/.f64 1 (/.f64 a b))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 1 (/.f64 a b))
0.0ms
a
@inf
(/.f64 1 (/.f64 a b))
0.0ms
b
@-inf
(/.f64 1 (/.f64 a b))
0.0ms
b
@inf
(/.f64 1 (/.f64 a b))
0.0ms
a
@-inf
(/.f64 1 (/.f64 a b))

rewrite80.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
571×add-log-exp_binary64
571×log1p-expm1-u_binary64
571×expm1-log1p-u_binary64
557×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11254
216074
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 1 (/.f64 a b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a b)) -1) (pow.f64 (sqrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))))

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
59 → 36
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)

localize7.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval114.0ms (1.7%)

Compiler

Compiled 1580 to 824 computations (47.8% saved)

prune75.0ms (1.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New14412156
Fresh000
Picked011
Done055
Total14418162
Error
0b
Counts
162 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
59.7b
(/.f64 1 (/.f64 a b))
59.7b
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
61.2b
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
59.7b
(*.f64 b (/.f64 1 a))
61.2b
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
61.2b
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))
61.2b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
61.2b
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))
61.2b
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
61.3b
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1)
59.7b
(/.f64 b a)
61.2b
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))
61.2b
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1)
61.2b
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
2.1b
(sqrt.f64 (fabs.f64 1))
61.2b
(+.f64 (+.f64 (/.f64 b a) -1) 1)
61.2b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))
Compiler

Compiled 468 to 336 computations (28.2% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
0.1b
(pow.f64 (/.f64 1 b) -1)
0.1b
(pow.f64 (/.f64 1 b) -1)
0.2b
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(pow.f64 (/.f64 1 b) -1)
1.0ms
b
@0
(pow.f64 (/.f64 1 b) -1)
1.0ms
a
@0
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
1.0ms
b
@inf
(pow.f64 (/.f64 1 b) -1)
1.0ms
b
@-inf
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))

rewrite86.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
723×pow1_binary64
671×add-log-exp_binary64
669×log1p-expm1-u_binary64
669×expm1-log1p-u_binary64
655×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
11835
221345
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(pow.f64 (/.f64 1 b) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 1 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 b) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b -1/2) -1) (pow.f64 (pow.f64 b -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (pow.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))))

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04108
Stop Event
saturated
Counts
88 → 53
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
b
b
b
b
b
b
b
b
b
b
b
b
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
b
b
b
b
b
b
b
b
b
b
b
b

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.8b
(+.f64 (+.f64 (/.f64 b a) -1) 1)
0.0b
(+.f64 (/.f64 b a) -1)
0.0b
(+.f64 (/.f64 b a) -1)
9.8b
(+.f64 (+.f64 (/.f64 b a) -1) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+.f64 (+.f64 (/.f64 b a) -1) 1)
0.0ms
a
@inf
(+.f64 (/.f64 b a) -1)
0.0ms
a
@0
(+.f64 (/.f64 b a) -1)
0.0ms
a
@-inf
(+.f64 (/.f64 b a) -1)
0.0ms
b
@inf
(+.f64 (+.f64 (/.f64 b a) -1) 1)

rewrite87.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
884×pow1_binary64
826×add-log-exp_binary64
826×log1p-expm1-u_binary64
826×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
117511
2238211
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(+.f64 (/.f64 b a) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (+.f64 (/.f64 b a) -2)) (/.f64 1 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) -2) (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1) (+.f64 (/.f64 b a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 b a) 3) 0) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 0 (*.f64 (/.f64 b a) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (-.f64 1 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 0) (-.f64 (/.f64 b a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 a -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) 1)) (/.f64 1 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (sqrt.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 b a)) 1) (-.f64 (sqrt.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))) (+.f64 -1 (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) 1) (+.f64 (pow.f64 (/.f64 b a) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) (+.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (-.f64 -1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) 1) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) 1) (+.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 a -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) -1)))))

simplify31.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07237
111237
212237
Stop Event
saturated
Counts
145 → 99
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
-1
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
-1
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
-1
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
(-.f64 (/.f64 b a) 1)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
-1
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(/.f64 b a)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
-1
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
-1
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)
(-.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) -1)

localize41.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))
0.1b
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
0.0b
(-.f64 1 (+.f64 (/.f64 b a) -1))
0.0b
(+.f64 (/.f64 b a) -1)
0.0b
(-.f64 1 (+.f64 (/.f64 b a) -1))
0.1b
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
0.1b
(*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))
9.6b
(-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)))
Compiler

Compiled 66 to 35 computations (47% saved)

series27.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
8.0ms
b
@0
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
2.0ms
b
@inf
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
1.0ms
b
@-inf
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
1.0ms
a
@0
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
1.0ms
a
@inf
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))

rewrite220.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
815×prod-diff_binary64
628×log-prod_binary64
410×fma-def_binary64
259×fma-neg_binary64
258×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01158
125937
2400634
Stop Event
node limit
Counts
4 → 309
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)))
(*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(-.f64 1 (+.f64 (/.f64 b a) -1))
Outputs
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2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a b) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 b a) -1) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 (/.f64 b a)) (/.f64 1 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) (cbrt.f64 (-.f64 1 (/.f64 b a)))) (cbrt.f64 (-.f64 1 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 a b)) (cbrt.f64 (/.f64 a b))) (cbrt.f64 (/.f64 a b)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) (sqrt.f64 (-.f64 1 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 a b)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (-.f64 2 (/.f64 b a)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (-.f64 2 (/.f64 b a)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 (/.f64 b a)) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 6))) (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 4)) (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 (/.f64 b a)) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 4))) (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1)))))

simplify118.0ms (1.7%)

Algorithm
egg-herbie
Rules
812×associate-/l*_binary64
512×associate-/r*_binary64
454×associate-*l/_binary64
425×associate-*l*_binary64
395×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0201032
151990
2102822
3248798
41128798
56850798
Stop Event
node limit
Counts
405 → 330
Calls
Call 1
Inputs
(*.f64 2 (/.f64 b a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 2 (/.f64 b a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 2 (/.f64 b a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 2 (/.f64 b a))
(/.f64 2 (/.f64 a b))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(*.f64 2 (/.f64 b a))
(/.f64 2 (/.f64 a b))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(*.f64 2 (/.f64 b a))
(/.f64 2 (/.f64 a b))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) -2))
(fma.f64 (/.f64 b a) -2 1)
(fma.f64 b (/.f64 -2 a) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) -2))
(fma.f64 (/.f64 b a) -2 1)
(fma.f64 b (/.f64 -2 a) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) -2))
(fma.f64 (/.f64 b a) -2 1)
(fma.f64 b (/.f64 -2 a) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
2
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))
(+.f64 2 (*.f64 -1 (/.f64 b a)))
(+.f64 2 (neg.f64 (/.f64 b a)))
(-.f64 2 (/.f64 b a))

localize35.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (/.f64 b a) 2)
0.0b
(/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1))
0.0b
(+.f64 (/.f64 b a) -1)
0.0b
(-.f64 (pow.f64 (/.f64 b a) 2) 1)
0.0b
(+.f64 (/.f64 b a) -1)
0.0b
(/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1))
0.4b
(pow.f64 (/.f64 b a) 2)
9.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
Compiler

Compiled 55 to 30 computations (45.5% saved)

series37.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
13.0ms
b
@0
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
4.0ms
a
@0
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
3.0ms
b
@inf
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
3.0ms
a
@-inf
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
2.0ms
a
@inf
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)

rewrite130.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
723×prod-diff_binary64
604×log-prod_binary64
381×fma-neg_binary64
279×fma-def_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
127424
2380424
Stop Event
node limit
Counts
3 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
(pow.f64 (/.f64 b a) 2)
(/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1))
Outputs
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fma.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1) b 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 (/.f64 b a) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) 1))) (hypot.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (pow.f64 (/.f64 b a) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (pow.f64 (/.f64 b a) 2) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) 1) (/.f64 (/.f64 b a) (+.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (+.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (/.f64 b a) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (/.f64 b a) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (/.f64 b a) 2) -1)) (+.f64 (/.f64 b a) 1) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 -1 (pow.f64 (/.f64 b a) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) (*.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))))

simplify39.0ms (0.6%)

Algorithm
egg-herbie
Rules
719×associate-/l*_binary64
682×fma-def_binary64
546×associate-*l/_binary64
502×distribute-rgt-in_binary64
479×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019477
148477
2114477
3264477
41165477
Stop Event
node limit
Counts
322 → 256
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 b a)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (/.f64 b (*.f64 a a)))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)

localize25.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 1 (/.f64 b a)))
0.0b
(*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))))
0.0b
(-.f64 1 (/.f64 b a))
0.0b
(-.f64 1 (pow.f64 (/.f64 b a) 2))
0.0b
(*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))))
0.0b
(/.f64 1 (-.f64 1 (/.f64 b a)))
0.4b
(pow.f64 (/.f64 b a) 2)
9.9b
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
Compiler

Compiled 65 to 37 computations (43.1% saved)

series21.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
a
@inf
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
2.0ms
b
@0
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
2.0ms
a
@0
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
2.0ms
b
@inf
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
1.0ms
b
@-inf
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)

rewrite78.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
590×log-prod_binary64
347×fma-def_binary64
314×pow2_binary64
228×fma-neg_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251
127921
2389021
Stop Event
node limit
Counts
3 → 221
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
(/.f64 1 (-.f64 1 (/.f64 b a)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a)))) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 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(expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a)))) (+.f64 1 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a))))) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a)))) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 b a)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (/.f64 1 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (/.f64 1 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (*.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) 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((x fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 1 (/.f64 b a)))) (hypot.f64 1 (sqrt.f64 (+.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))))))))

simplify90.0ms (1.3%)

Algorithm
egg-herbie
Rules
838×fma-neg_binary64
750×associate-/l*_binary64
645×fma-def_binary64
512×associate-*l/_binary64
508×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048717
1145699
2454609
31669579
Stop Event
node limit
Counts
293 → 237
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
Outputs
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b)))
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2))))
(/.f64 b a)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a)))
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)))
(*.f64 -1 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b))
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b)))))
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3))
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b)))
(*.f64 -1 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b))
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b)))))
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3))
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b)))
(*.f64 -1 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b))
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b)))))
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3))
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b)))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a)))
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a)))
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1)))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)

eval632.0ms (9.2%)

Compiler

Compiled 29068 to 17612 computations (39.4% saved)

prune173.0ms (2.5%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New1047121059
Fresh617
Picked101
Done3710
Total1057201077
Error
0b
Counts
1077 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
59.7b
(/.f64 b a)
59.7b
(/.f64 (/.f64 1 a) (/.f64 1 b))
59.7b
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
61.2b
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
61.2b
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
61.2b
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
52.0b
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
59.7b
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
59.7b
(*.f64 b (/.f64 1 a))
61.2b
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
2.1b
(sqrt.f64 (fabs.f64 1))
61.5b
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
59.7b
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
59.7b
(/.f64 1 (/.f64 a b))
55.0b
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
59.7b
(/.f64 1 (*.f64 a (/.f64 1 b)))
61.2b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
61.2b
(+.f64 (+.f64 (/.f64 b a) -1) 1)
61.2b
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
Compiler

Compiled 248 to 178 computations (28.2% saved)

regimes168.0ms (2.5%)

Counts
33 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))
(sqrt.f64 (fabs.f64 1))
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1)
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
Calls

12 calls:

40.0ms
a
31.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
19.0ms
(*.f64 a a)
18.0ms
b
13.0ms
(*.f64 a a)
Results
ErrorSegmentsBranch
0b1a
0b1b
0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0b1(*.f64 a a)
0b1(*.f64 a a)
0b1(*.f64 b b)
0b1(*.f64 b b)
Compiler

Compiled 523 to 297 computations (43.2% saved)

regimes56.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))
(sqrt.f64 (fabs.f64 1))
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1)
Outputs
(sqrt.f64 (fabs.f64 1))
Calls

3 calls:

16.0ms
b
15.0ms
a
13.0ms
(*.f64 a a)
Results
ErrorSegmentsBranch
2.1b1a
2.1b1b
2.1b1(*.f64 a a)
Compiler

Compiled 390 to 233 computations (40.3% saved)

regimes39.0ms (0.6%)

Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))
Outputs
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
Calls

2 calls:

16.0ms
b
14.0ms
a
Results
ErrorSegmentsBranch
52.0b1a
52.0b1b
Compiler

Compiled 363 to 218 computations (39.9% saved)

regimes48.0ms (0.7%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
Outputs
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
Calls

2 calls:

26.0ms
b
17.0ms
a
Results
ErrorSegmentsBranch
53.6b2a
55.0b1b
Compiler

Compiled 183 to 109 computations (40.4% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.3164228816471113e-165
2.1278457424210298e-162
Compiler

Compiled 20 to 12 computations (40% saved)

regimes29.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2)
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1)
Outputs
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
Calls

2 calls:

16.0ms
b
8.0ms
a
Results
ErrorSegmentsBranch
59.7b1a
59.7b1b
Compiler

Compiled 149 to 88 computations (40.9% saved)

regimes42.0ms (0.6%)

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 1 (/.f64 a b))
(*.f64 b (/.f64 1 a))
(/.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 a (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 b a) -1) 1)
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b)))
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1)
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1)
Outputs
(/.f64 b a)
Calls

2 calls:

32.0ms
b
6.0ms
a
Results
ErrorSegmentsBranch
59.7b1a
59.7b1b
Compiler

Compiled 78 to 52 computations (33.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033119
157119
290119
3112119
4123119
5125119
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
(sqrt.f64 (fabs.f64 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(if (<=.f64 a 2460680399745756672/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))))
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 b a)
Outputs
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))))
(sqrt.f64 (fabs.f64 1))
1
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (+.f64 1 (-.f64 1 (/.f64 b a))))
(/.f64 (+.f64 1 (*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))) (+.f64 1 (-.f64 1 (/.f64 b a))))
(if (<=.f64 a 2460680399745756672/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))))
(if (<=.f64 a 4806016405753431/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (*.f64 (/.f64 b a) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))))
(if (<=.f64 a 4806016405753431/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (*.f64 (/.f64 b a) 2) (+.f64 1 (-.f64 1 (/.f64 b a)))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (+.f64 1 (-.f64 1 (/.f64 b a)))))
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (*.f64 (/.f64 b a) 2) (-.f64 1 (+.f64 (/.f64 b a) -1)))
(/.f64 (*.f64 (/.f64 b a) 2) (+.f64 1 (-.f64 1 (/.f64 b a))))
(/.f64 b a)

end54.0ms (0.8%)

Stop Event
fuel
Compiler

Compiled 176 to 109 computations (38.1% saved)

Profiling

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