Details

Time bar (total: 4.5s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.7s (36.9%)

Results
1.6s8256×body256valid
Bogosity

preprocess5.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
36×rational.json-simplify-1
16×rational.json-simplify-41
14×rational.json-simplify-2
2×swap-b-d
2×swap-b-c
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026133
143133
250133
357133
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 d (+.f64 a c)))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 c (+.f64 a (+.f64 b d)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×rational.json-simplify-1
4×rational.json-simplify-41
2×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11219
21619
32019
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)))

eval0.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

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

rewrite206.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
1586×rational.json-simplify-1
1560×rational.json-1
1560×rational.json-2
1560×rational.json-3
1544×rational.json-simplify-35
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
15919
212719
328319
458619
5152319
6337619
7501719
8669719
9789319
10790319
11790319
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b (+.f64 c d))) 0)))) (#(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 (+.f64 c d)) (*.f64 a 1/2)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)) (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)) (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 b (+.f64 c d))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)))))

simplify452.0ms (10.1%)

Algorithm
1×egg-herbie
Rules
4604×rational.json-simplify-41
1934×rational.json-simplify-2
1928×rational.json-simplify-35
1238×rational.json-simplify-53
960×exponential.json-simplify-26
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0671107
11581107
22961107
36781107
425441107
541661107
643691107
744711107
845631107
946551107
1047451107
1158271107
1261571107
1362461107
1463351107
1563351107
Stop Event
1×node limit
Counts
63 → 29
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 (*.f64 a (+.f64 b (+.f64 c d))) 0)
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(+.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 1/2)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 1/2)))
(+.f64 (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)) (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)))
(+.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)) (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)))
(-.f64 (*.f64 a (+.f64 b (+.f64 c d))) 0)
(/.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 a a)) 2)
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 4)) 4)
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))))) 128)
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 b (+.f64 c d))) 0)
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 1/2)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 1/2)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)) (*.f64 (*.f64 a 1/4) (*.f64 (+.f64 b (+.f64 c d)) 2)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)) (*.f64 (*.f64 (+.f64 b (+.f64 c d)) 1/4) (+.f64 a a)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (*.f64 a (+.f64 b (+.f64 c d))) 0)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 a a)) 2)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 4)) 4)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)) 8)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))) 16)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))) 32)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8))))) 64)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 a 8)))))) 128)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 a (+.f64 c (+.f64 d b)))

eval4.0ms (0.1%)

Compiler

Compiled 291 to 114 computations (60.8% saved)

prune129.0ms (2.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New26329
Fresh000
Picked101
Done000
Total27330
Error
0.0b
Counts
30 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
▶2.6b
(*.f64 d a)
▶0.0b
(*.f64 a (+.f64 c d))
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 6 computations (60% saved)

series2.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite177.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
2520×rational.json-simplify-2
1526×rational.json-simplify-35
1258×rational.json-simplify-1
1232×exponential.json-3
1232×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14613
210213
321413
439713
589613
6231513
7418313
8508813
9616213
10697713
11697713
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 a (+.f64 c d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) (*.f64 a (*.f64 (+.f64 c d) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 c d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (+.f64 c d) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 c d) (*.f64 a 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))))

simplify456.0ms (10.2%)

Algorithm
1×egg-herbie
Rules
2824×rational.json-simplify-2
2076×rational.json-simplify-35
1528×rational.json-simplify-53
1396×rational.json-simplify-1
1046×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050614
1130614
2256614
3617614
42260614
54476614
64683614
74798614
84896614
94994614
105090614
116646614
127195614
137401614
147401614
157401614
167497614
177593614
Stop Event
1×node limit
Counts
50 → 20
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))
(+.f64 (*.f64 a (+.f64 c d)) 0)
(+.f64 0 (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) (*.f64 a (*.f64 (+.f64 c d) 1/2)))
(-.f64 (*.f64 a (+.f64 c d)) 0)
(/.f64 (*.f64 a (+.f64 c d)) 1)
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 2)) 2)
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)
(/.f64 (*.f64 (+.f64 c d) (*.f64 a 8)) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))))) 256)
(pow.f64 (*.f64 a (+.f64 c d)) 1)
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)
(+.f64 (*.f64 a (+.f64 c d)) 0)
(*.f64 (+.f64 c d) a)
(+.f64 0 (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) (*.f64 a (*.f64 (+.f64 c d) 1/2)))
(*.f64 (+.f64 c d) a)
(-.f64 (*.f64 a (+.f64 c d)) 0)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 2)) 2)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 (+.f64 c d) (*.f64 a 8)) 8)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))) 16)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))) 32)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))) 64)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8)))))) 128)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 c d) (*.f64 a 8))))))) 256)
(*.f64 (+.f64 c d) a)
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 (+.f64 c d) a)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize49.0ms (1.1%)

Local error

Found 1 expressions with local error:

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

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0.1%)

Counts
1 → 39
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
1.0ms
a
@inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
0.0ms
a
@0
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
0.0ms
d
@0
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
0.0ms
d
@-inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))

rewrite162.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2764×rational.json-simplify-2
1422×rational.json-simplify-35
1358×rational.json-1
1358×rational.json-2
1358×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
16619
213819
330419
459619
5140319
6295919
7464019
8602319
9690119
10690119
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 b (+.f64 d c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 b (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 b (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (+.f64 b (+.f64 d c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (/.f64 (+.f64 b (+.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (+.f64 d c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 b (+.f64 d c))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 b (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (+.f64 d c)) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (+.f64 d c)) 2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)))))

simplify374.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
2784×rational.json-simplify-2
1704×rational.json-simplify-35
840×rational.json-simplify-1
768×rational.json-simplify-51
732×exponential.json-simplify-26
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0961755
12171371
24451371
314601371
433911371
542971371
646991371
749871371
852061371
954031371
1055681371
1158661371
1265181371
1369511371
1477711371
Stop Event
1×node limit
Counts
75 → 56
Calls
Call 1
Inputs
(+.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 (*.f64 a d) (*.f64 c a))
(+.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 b)
(+.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 b)
(+.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 (+.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 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 (+.f64 d b) a)
(*.f64 c a)
(*.f64 c a)
(-.f64 (*.f64 a (+.f64 b (+.f64 d c))) 0)
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
(*.f64 1 (*.f64 a (+.f64 b (+.f64 d c))))
(*.f64 2 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)))
(*.f64 2 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)))
(*.f64 (+.f64 a a) (*.f64 (+.f64 b (+.f64 d c)) 1/2))
(*.f64 (+.f64 a a) (/.f64 (+.f64 b (+.f64 d c)) 2))
(*.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 1/2)
(*.f64 (+.f64 b (+.f64 d c)) a)
(*.f64 4 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4))
(*.f64 4 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)))
(*.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 1/4)
(*.f64 (*.f64 2 (+.f64 b (+.f64 d c))) (*.f64 a 1/2))
(*.f64 1/2 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))))
(*.f64 1/2 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))))
(*.f64 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)) 2)
(*.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 b (+.f64 d c))))
(*.f64 (*.f64 a 1/2) (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)))
(*.f64 (*.f64 (+.f64 b (+.f64 d c)) 1/2) (+.f64 a a))
(*.f64 1/4 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)))
(*.f64 (/.f64 (+.f64 b (+.f64 d c)) 2) (+.f64 a a))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4) 4)
(*.f64 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))) 1/2)
(*.f64 (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)) (*.f64 a 1/2))
(*.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)) 2)
(*.f64 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)) 4)
(/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
(/.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 2)
(/.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 4)
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))))) 128)
(pow.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
Outputs
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 b d))
(*.f64 c a)
(*.f64 a c)
(*.f64 c a)
(*.f64 a c)
(-.f64 (*.f64 a (+.f64 b (+.f64 d c))) 0)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 1 (*.f64 a (+.f64 b (+.f64 d c))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 2 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 2 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 a a) (*.f64 (+.f64 b (+.f64 d c)) 1/2))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 a a) (/.f64 (+.f64 b (+.f64 d c)) 2))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 1/2)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 b (+.f64 d c)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 4 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 4 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 1/4)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 2 (+.f64 b (+.f64 d c))) (*.f64 a 1/2))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 1/2 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 1/2 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 a (/.f64 (+.f64 b (+.f64 d c)) 2)) 2)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 b (+.f64 d c))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 a 1/2) (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)))
(*.f64 a (*.f64 1/2 (+.f64 (+.f64 c c) (*.f64 (+.f64 b d) 2))))
(*.f64 1/2 (*.f64 a (+.f64 (+.f64 c c) (*.f64 (+.f64 b d) 2))))
(*.f64 (*.f64 (+.f64 b (+.f64 d c)) 1/2) (+.f64 a a))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 1/4 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (/.f64 (+.f64 b (+.f64 d c)) 2) (+.f64 a a))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 4) 4)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 (*.f64 c (+.f64 a a)) (*.f64 (+.f64 d b) (+.f64 a a))) 1/2)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 (+.f64 c c) (*.f64 (+.f64 d b) 2)) (*.f64 a 1/2))
(*.f64 a (*.f64 1/2 (+.f64 (+.f64 c c) (*.f64 (+.f64 b d) 2))))
(*.f64 1/2 (*.f64 a (+.f64 (+.f64 c c) (*.f64 (+.f64 b d) 2))))
(*.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 1/2)) 2)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (*.f64 (*.f64 a 1/2) (/.f64 (+.f64 b (+.f64 d c)) 2)) 4)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 (+.f64 a a) (+.f64 b (+.f64 d c))) 2)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 d c)) 4)) 4)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8) 8)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)) 16)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))) 32)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8)))) 64)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 b (+.f64 d c))) 8))))) 128)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 d c))) 1)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))

eval60.0ms (1.3%)

Compiler

Compiled 740 to 300 computations (59.5% saved)

prune11.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh000
Picked101
Done022
Total76379
Error
0.0b
Counts
79 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 c a) (*.f64 a d))
✓2.6b
(*.f64 d a)
✓0.0b
(*.f64 a (+.f64 c d))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize97.0ms (2.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts
1 → 27
Calls

9 calls:

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

rewrite164.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2726×rational.json-simplify-2
1304×rational.json-1
1304×rational.json-2
1304×rational.json-3
1284×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
15313
211713
325513
447413
5110513
6276213
7490013
8616413
9702313
10702313
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(+.f64 (*.f64 c a) (*.f64 a d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 c d)) 0)))) (#(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 2 (*.f64 a (*.f64 (+.f64 c d) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (+.f64 c d) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (*.f64 2 (+.f64 c d)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c d) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 a (/.f64 (+.f64 c d) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) (/.f64 (+.f64 c d) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) (*.f64 (+.f64 c d) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) (*.f64 (*.f64 2 (+.f64 c d)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (+.f64 c d) (/.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 c d)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 8) (*.f64 (+.f64 c d) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 a (*.f64 2 (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (+.f64 (+.f64 d d) (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 a 8)) (*.f64 (+.f64 c d) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) 4) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 a (*.f64 (+.f64 c d) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 (+.f64 c d) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/4) (*.f64 (+.f64 c d) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (*.f64 a (+.f64 c d)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c d) 4) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d d) (+.f64 c c)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) 1/4) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) (/.f64 a 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) 1/8) (*.f64 a 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) 1/16) (*.f64 2 (*.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/4) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/8) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))))

simplify181.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
2052×rational.json-simplify-2
1722×rational.json-simplify-1
1582×rational.json-simplify-35
1548×rational.json-simplify-53
1326×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106939
1246939
2574939
31463939
43638939
55581939
66020939
76138939
86262939
96384939
106530939
Stop Event
1×node limit
Counts
75 → 54
Calls
Call 1
Inputs
(*.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 (+.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 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a d)
(*.f64 a d)
(-.f64 (*.f64 a (+.f64 c d)) 0)
(*.f64 a (+.f64 c d))
(*.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 1 (*.f64 a (+.f64 c d)))
(*.f64 2 (*.f64 a (*.f64 (+.f64 c d) 1/2)))
(*.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 1/2)
(*.f64 (+.f64 a a) (*.f64 (+.f64 c d) 1/2))
(*.f64 (+.f64 a a) (*.f64 (*.f64 2 (+.f64 c d)) 1/4))
(*.f64 (+.f64 c d) a)
(*.f64 4 (*.f64 a (/.f64 (+.f64 c d) 4)))
(*.f64 4 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)))
(*.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 1/4)
(*.f64 (*.f64 a 4) (/.f64 (+.f64 c d) 4))
(*.f64 (*.f64 a 4) (*.f64 (+.f64 c d) 1/4))
(*.f64 (*.f64 a 4) (*.f64 (*.f64 2 (+.f64 c d)) 1/8))
(*.f64 8 (*.f64 (+.f64 c d) (/.f64 a 8)))
(*.f64 (*.f64 2 (+.f64 c d)) (*.f64 a 1/2))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 1/8)
(*.f64 (*.f64 a 8) (*.f64 (+.f64 c d) 1/8))
(*.f64 1/2 (*.f64 a (*.f64 2 (+.f64 c d))))
(*.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) 2)
(*.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 c d)))
(*.f64 (*.f64 a 1/2) (+.f64 (+.f64 d d) (+.f64 c c)))
(*.f64 (*.f64 2 (*.f64 a 8)) (*.f64 (+.f64 c d) 1/16))
(*.f64 (*.f64 (+.f64 c d) 4) (*.f64 a 1/4))
(*.f64 1/4 (*.f64 a (*.f64 (+.f64 c d) 4)))
(*.f64 (*.f64 (+.f64 c d) 1/2) (+.f64 a a))
(*.f64 (*.f64 a (/.f64 (+.f64 c d) 4)) 4)
(*.f64 (*.f64 a 1/4) (*.f64 (+.f64 c d) 4))
(*.f64 1/8 (*.f64 (*.f64 a (+.f64 c d)) 8))
(*.f64 (/.f64 (+.f64 c d) 4) (*.f64 a 4))
(*.f64 (+.f64 (+.f64 d d) (+.f64 c c)) (*.f64 a 1/2))
(*.f64 (*.f64 (+.f64 c d) 1/4) (*.f64 a 4))
(*.f64 (*.f64 (+.f64 c d) (/.f64 a 8)) 8)
(*.f64 (*.f64 (+.f64 c d) 1/8) (*.f64 a 8))
(*.f64 (*.f64 (+.f64 c d) 1/16) (*.f64 2 (*.f64 a 8)))
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/4) (+.f64 a a))
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)) 4)
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/8) (*.f64 a 4))
(/.f64 (*.f64 a (+.f64 c d)) 1)
(/.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 2)
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)
(/.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))))) 128)
(pow.f64 (*.f64 a (+.f64 c d)) 1)
Outputs
(*.f64 a d)
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 a d)
(-.f64 (*.f64 a (+.f64 c d)) 0)
(*.f64 a (+.f64 d c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 a (+.f64 d c))
(*.f64 1 (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 d c))
(*.f64 2 (*.f64 a (*.f64 (+.f64 c d) 1/2)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 1/2)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 a a) (*.f64 (+.f64 c d) 1/2))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 a a) (*.f64 (*.f64 2 (+.f64 c d)) 1/4))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 4 (*.f64 a (/.f64 (+.f64 c d) 4)))
(*.f64 a (+.f64 d c))
(*.f64 4 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 1/4)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 4) (/.f64 (+.f64 c d) 4))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 4) (*.f64 (+.f64 c d) 1/4))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 4) (*.f64 (*.f64 2 (+.f64 c d)) 1/8))
(*.f64 a (+.f64 d c))
(*.f64 8 (*.f64 (+.f64 c d) (/.f64 a 8)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 2 (+.f64 c d)) (*.f64 a 1/2))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 1/8)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 8) (*.f64 (+.f64 c d) 1/8))
(*.f64 a (+.f64 d c))
(*.f64 1/2 (*.f64 a (*.f64 2 (+.f64 c d))))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (*.f64 (+.f64 c d) 1/2)) 2)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 1/2) (*.f64 2 (+.f64 c d)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 1/2) (+.f64 (+.f64 d d) (+.f64 c c)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 2 (*.f64 a 8)) (*.f64 (+.f64 c d) 1/16))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) 4) (*.f64 a 1/4))
(*.f64 a (+.f64 d c))
(*.f64 1/4 (*.f64 a (*.f64 (+.f64 c d) 4)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) 1/2) (+.f64 a a))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (/.f64 (+.f64 c d) 4)) 4)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a 1/4) (*.f64 (+.f64 c d) 4))
(*.f64 a (+.f64 d c))
(*.f64 1/8 (*.f64 (*.f64 a (+.f64 c d)) 8))
(*.f64 a (+.f64 d c))
(*.f64 (/.f64 (+.f64 c d) 4) (*.f64 a 4))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 (+.f64 d d) (+.f64 c c)) (*.f64 a 1/2))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) 1/4) (*.f64 a 4))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) (/.f64 a 8)) 8)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) 1/8) (*.f64 a 8))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c d) 1/16) (*.f64 2 (*.f64 a 8)))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/4) (+.f64 a a))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) (/.f64 a 8)) 4)
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 (*.f64 2 (+.f64 c d)) 1/8) (*.f64 a 4))
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (*.f64 2 (+.f64 c d))) 2)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (*.f64 (+.f64 c d) 4)) 4)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 (*.f64 a (+.f64 c d)) 8) 8)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)) 16)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))) 32)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8)))) 64)
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (+.f64 c d)) 8))))) 128)
(*.f64 a (+.f64 d c))
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 a (+.f64 d c))

eval8.0ms (0.2%)

Compiler

Compiled 490 to 257 computations (47.6% saved)

prune10.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done022
Total54357
Error
0.0b
Counts
57 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 c a) (*.f64 a d))
✓2.6b
(*.f64 d a)
✓0.0b
(*.f64 a (+.f64 c d))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes33.0ms (0.7%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Outputs
(+.f64 (*.f64 c a) (*.f64 a d))
Calls

7 calls:

6.0ms
(+.f64 (+.f64 b c) d)
5.0ms
c
4.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
4.0ms
d
4.0ms
a
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)
Compiler

Compiled 82 to 50 computations (39% saved)

regimes101.0ms (2.2%)

Accuracy

Total -2.5b remaining (-6526%)

Threshold costs -2.5b (-6526%)

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

7 calls:

77.0ms
(+.f64 (+.f64 b c) d)
6.0ms
b
3.0ms
c
3.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms
(+.f64 b c)
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)
Compiler

Compiled 66 to 44 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 d a)
Outputs
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 d a)
Compiler

Compiled 27 to 18 computations (33.3% saved)

soundness0.0ms (0%)

end101.0ms (2.2%)

Compiler

Compiled 41 to 24 computations (41.5% saved)

Profiling

Loading profile data...