Details

Time bar (total: 2.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.7s (64.3%)

Results
1.7s8256×body256valid

preprocess21.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
116×fma-def_binary64
43×distribute-rgt-in_binary64
39×distribute-lft-in_binary64
25×*-commutative_binary64
17×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02570
18870
218470
328970
434370
044
144
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
1
3
1
Call 2
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 b (+.f64 c d)))
Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
28×fma-def_binary64
10×distribute-lft-in_binary64
10×distribute-rgt-in_binary64
7×*-commutative_binary64
6×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11910
24510
38510
410310
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
0.0b
(+.f64 b (+.f64 c d))
✓0.0b
(+.f64 b (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series10.0ms (0.4%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms
a
@0
(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms
a
@-inf
(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms
a
@inf
(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms
b
@inf
(*.f64 a (+.f64 b (+.f64 c d)))

rewrite61.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
475×log-prod_binary64
436×pow-prod-down_binary64
429×fma-def_binary64
353×exp-prod_binary64
264×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118517
2288917
Stop Event
1×node limit
Counts
2 → 139
Calls
Call 1
Inputs
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 b c) a) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a (+.f64 c d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a (+.f64 c d)) 3)) (+.f64 (pow.f64 (*.f64 a b) 2) (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 (*.f64 a (+.f64 c d)) 2)) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) a) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) a) (-.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (-.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 c d) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 b c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 c d) a (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (*.f64 (cbrt.f64 (+.f64 c d)) a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) a) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 c d)) (*.f64 (sqrt.f64 (+.f64 c d)) a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) a) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a b) 1 (*.f64 (*.f64 a (+.f64 c d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b c) a (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (*.f64 a b)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 2) (cbrt.f64 (*.f64 a (+.f64 c d))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a b)) (sqrt.f64 (*.f64 a b)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) (sqrt.f64 (*.f64 a (+.f64 c d))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 c d)) 2)) (cbrt.f64 (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 c d))) (sqrt.f64 (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a b))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (+.f64 c d)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (*.f64 b b) (*.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (-.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 b b)) (-.f64 (+.f64 c d) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (-.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (+.f64 c d)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 c d)))) 2)) (cbrt.f64 (log.f64 (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 b (+.f64 c d))))) (sqrt.f64 (log.f64 (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 b (+.f64 c d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 c d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 c d) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 c d) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (*.f64 c c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 1 (-.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b c) 1 d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)))))

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
25×fma-def_binary64
8×+-commutative_binary64
7×*-commutative_binary64
6×distribute-rgt-in_binary64
4×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021642
150642
269642
377642
Stop Event
1×saturated
Counts
223 → 158
Calls
Call 1
Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))

eval35.0ms (1.3%)

Compiler

Compiled 1969 to 622 computations (68.4% saved)

prune26.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1544158
Fresh000
Picked011
Done000
Total1545159
Error
0b
Counts
159 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
▶0.3b
(*.f64 a (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
▶3.8b
(*.f64 a d)
▶0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
Compiler

Compiled 56 to 35 computations (37.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
0.0b
(*.f64 a (+.f64 b c))
✓0.0b
(*.f64 a (+.f64 b c))
✓0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series13.0ms (0.5%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
2.0ms
d
@inf
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
1.0ms
a
@0
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
1.0ms
a
@inf
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
1.0ms
a
@-inf
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))

rewrite64.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
624×fma-def_binary64
560×log-prod_binary64
456×pow-prod-down_binary64
290×pow2_binary64
273×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120617
2315617
Stop Event
1×node limit
Counts
2 → 139
Calls
Call 1
Inputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 b c))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify48.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
393×fma-neg_binary64
388×fma-def_binary64
116×distribute-rgt-in_binary64
94×unsub-neg_binary64
91×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026670
179669
2202669
3486669
41225669
51762669
62038669
72043669
Stop Event
1×saturated
Counts
223 → 156
Calls
Call 1
Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 (+.f64 c b)) (*.f64 -1 d))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 c a (*.f64 d a))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (*.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 c d))
Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 a (+.f64 c d))
1.0ms
a
@inf
(*.f64 a (+.f64 c d))
0.0ms
a
@-inf
(*.f64 a (+.f64 c d))
0.0ms
c
@0
(*.f64 a (+.f64 c d))
0.0ms
c
@inf
(*.f64 a (+.f64 c d))

rewrite47.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219757
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 a (+.f64 c d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a c) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 a d))))))

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010234
116234
218234
Stop Event
1×saturated
Counts
60 → 30
Calls
Call 1
Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
0.3b
(*.f64 (sqrt.f64 a) (+.f64 c d))
✓0.3b
(*.f64 (sqrt.f64 a) (+.f64 c d))
✓0.4b
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
Compiler

Compiled 34 to 9 computations (73.5% saved)

series14.0ms (0.5%)

Counts
2 → 63
Calls

21 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
1.0ms
a
@0
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
1.0ms
a
@-inf
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
1.0ms
c
@0
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
1.0ms
b
@0
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))

rewrite58.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
873×prod-diff_binary64
549×log-prod_binary64
289×pow2_binary64
275×fma-def_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01027
121422
2295420
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
(*.f64 (sqrt.f64 a) (+.f64 c d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (+.f64 c d) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (+.f64 c d)) 1) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (+.f64 c d) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) 2) (cbrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) (sqrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (-.f64 (pow.f64 (*.f64 a b) 2) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)) (fma.f64 a (+.f64 c d) (neg.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) a) (exp.f64 (*.f64 a (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a b))) (exp.f64 (*.f64 a (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (+.f64 c d))) (+.f64 1 (expm1.f64 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (+.f64 c d) (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (+.f64 c d) (*.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 a) c) 1) (*.f64 (*.f64 (sqrt.f64 a) d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 c d)) (sqrt.f64 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 c d)) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 c d)) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 c d)) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 a) c) 3) (pow.f64 (*.f64 (sqrt.f64 a) d) 3)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 a) c) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 a) d) 2) (*.f64 (*.f64 (sqrt.f64 a) c) (*.f64 (sqrt.f64 a) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 a) c) 2) (pow.f64 (*.f64 (sqrt.f64 a) d) 2)) (-.f64 (*.f64 (sqrt.f64 a) c) (*.f64 (sqrt.f64 a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (sqrt.f64 a)) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (sqrt.f64 a)) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (pow.f64 (+.f64 c d) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (+.f64 c d) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (pow.f64 (+.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 c d)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 a) d)) (exp.f64 (*.f64 (sqrt.f64 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (+.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) c (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) d (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (sqrt.f64 a) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d (sqrt.f64 a) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 a) c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 a) d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 d d)) (*.f64 (cbrt.f64 d) (sqrt.f64 a)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (sqrt.f64 a)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (sqrt.f64 a)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (sqrt.f64 a)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) c) 1 (*.f64 (*.f64 (sqrt.f64 a) d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) d)) 2) (cbrt.f64 (*.f64 (sqrt.f64 a) d)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) c)) 2) (cbrt.f64 (*.f64 (sqrt.f64 a) c)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) d)) (sqrt.f64 (*.f64 (sqrt.f64 a) d)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) c)) (sqrt.f64 (*.f64 (sqrt.f64 a) c)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 a 1/4) (sqrt.f64 d)) (*.f64 (pow.f64 a 1/4) (sqrt.f64 d)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 d) (pow.f64 a 1/4)) (*.f64 (sqrt.f64 d) (pow.f64 a 1/4)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 a 1/4) (sqrt.f64 c)) (*.f64 (pow.f64 a 1/4) (sqrt.f64 c)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 c) (pow.f64 a 1/4)) (*.f64 (sqrt.f64 c) (pow.f64 a 1/4)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 d d))) (cbrt.f64 d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 d)) (sqrt.f64 d) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (pow.f64 a 1/4)) (pow.f64 a 1/4) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)) (*.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 a 1/4)) (pow.f64 a 1/4) (*.f64 (sqrt.f64 a) d))))))

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
31×fma-def_binary64
11×+-commutative_binary64
11×*-commutative_binary64
6×distribute-lft-out_binary64
6×distribute-rgt-out_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021580
149525
280525
399525
4100525
Stop Event
1×saturated
Counts
155 → 110
Calls
Call 1
Inputs
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 c a)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (sqrt.f64 a) d)
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) d)
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) d)
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
Outputs
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 c a))
(fma.f64 a b (*.f64 a c))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 (sqrt.f64 a) d)
(*.f64 d (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(*.f64 c (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) d)
(*.f64 d (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) d)
(*.f64 d (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))
(+.f64 (*.f64 (sqrt.f64 a) d) (*.f64 c (sqrt.f64 a)))
(fma.f64 (sqrt.f64 a) d (*.f64 c (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (+.f64 d c))
(*.f64 (+.f64 d c) (sqrt.f64 a))

eval63.0ms (2.4%)

Compiler

Compiled 4190 to 1088 computations (74% saved)

prune57.0ms (2.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2942296
Fresh000
Picked101
Done044
Total2956301
Error
0b
Counts
301 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(+.f64 (*.f64 a d) (*.f64 c a))
▶0b
(fma.f64 d a (*.f64 a (+.f64 b c)))
✓0.3b
(*.f64 a (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
✓3.8b
(*.f64 a d)
✓0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
Compiler

Compiled 63 to 40 computations (36.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 b c))
0.0b
(*.f64 a (+.f64 b c))
Compiler

Compiled 24 to 7 computations (70.8% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a d) (*.f64 c a))
✓0.0b
(+.f64 (*.f64 a d) (*.f64 c a))
Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0.2%)

Counts
1 → 27
Calls

9 calls:

TimeVariablePointExpression
1.0ms
c
@0
(+.f64 (*.f64 a d) (*.f64 c a))
1.0ms
a
@-inf
(+.f64 (*.f64 a d) (*.f64 c a))
1.0ms
a
@0
(+.f64 (*.f64 a d) (*.f64 c a))
0.0ms
d
@0
(+.f64 (*.f64 a d) (*.f64 c a))
0.0ms
c
@inf
(+.f64 (*.f64 a d) (*.f64 c a))

rewrite48.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
817×pow1_binary64
756×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
739×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078
11497
220597
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 a d) (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 d c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 2) (cbrt.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) (sqrt.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)))) (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (-.f64 d c)) (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (*.f64 d (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a c) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a d (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d a (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a c))))))

simplify20.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
90×fma-neg_binary64
85×fma-def_binary64
41×cancel-sign-sub-inv_binary64
30×distribute-rgt-in_binary64
28×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015171
133171
279171
3207171
4383171
5516171
6626171
7631171
Stop Event
1×saturated
Counts
66 → 45
Calls
Call 1
Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 c a)
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 c a)
(*.f64 c a)
Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(*.f64 c a)

eval23.0ms (0.8%)

Compiler

Compiled 1301 to 425 computations (67.3% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done145
Total1006106
Error
0b
Counts
106 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(fma.f64 a d (*.f64 a c))
✓0.3b
(*.f64 a (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
✓3.8b
(*.f64 a d)
✓0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
✓0.3b
(+.f64 (*.f64 a d) (*.f64 c a))
Compiler

Compiled 61 to 39 computations (36.1% saved)

localize7.0ms (0.3%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.3b
(fma.f64 a d (*.f64 a c))
✓0.3b
(*.f64 a (+.f64 c d))
✓0.0b
(*.f64 a (+.f64 b (+.f64 c d)))
✓3.8b
(*.f64 a d)
✓0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
✓0.3b
(+.f64 (*.f64 a d) (*.f64 c a))
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes52.0ms (1.9%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c d)) (*.f64 a b))
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
Calls

7 calls:

8.0ms
d
7.0ms
a
7.0ms
(+.f64 b c)
7.0ms
b
7.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
Results
ErrorSegmentsBranch
0b1a
0b1b
0b1c
0b1d
0b1(*.f64 a (+.f64 (+.f64 b c) d))
0b1(+.f64 (+.f64 b c) d)
0b1(+.f64 b c)
Compiler

Compiled 115 to 57 computations (50.4% saved)

regimes49.0ms (1.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
Outputs
(*.f64 a (+.f64 b (+.f64 c d)))
Calls

8 calls:

7.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
(+.f64 b c)
6.0ms
d
6.0ms
a
6.0ms
b
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1c
0.0b1d
0.0b1(*.f64 a (+.f64 (+.f64 b c) d))
0.0b1(+.f64 (+.f64 b c) d)
0.0b1(+.f64 b c)
0.0b1(+.f64 b c)
Compiler

Compiled 102 to 57 computations (44.1% saved)

regimes16.0ms (0.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
Outputs
(+.f64 (*.f64 a d) (*.f64 c a))
Calls

4 calls:

4.0ms
c
4.0ms
a
4.0ms
d
4.0ms
b
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
0.3b1c
0.3b1d
Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes15.0ms (0.5%)

Accuracy

Total -3.4b remaining (-1087.9%)

Threshold costs -3.4b (-1087.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
Outputs
(*.f64 a (+.f64 c d))
Calls

4 calls:

4.0ms
a
3.0ms
c
3.0ms
b
3.0ms
d
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
0.3b1c
0.3b1d
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542
12442
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 c d))
(*.f64 a d)
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 d a) (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 d a)

end53.0ms (2%)

Stop Event
1×done
Compiler

Compiled 108 to 60 computations (44.4% saved)

Profiling

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