Details

Time bar (total: 2.4s)

analyze606.0ms (25.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%70.2%4.8%9
25%51.5%23.5%10
29.6%45.6%24.7%11
33.5%38.4%28%12
41.9%29.4%28.6%13
45.3%25.4%29.3%14
Compiler

Compiled 19 to 9 computations (52.6% saved)

sample967.0ms (41.1%)

Results
882.0ms8256×body128valid
72.0ms644×body128invalid

preprocess20.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
96×fma-def_binary64
15×*-commutative_binary64
14×associate-+l+_binary64
12×+-commutative_binary64
12×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02380
15160
29944
316244
421244
523044
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(+.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 (*.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (*.f64 3 (*.f64 z z)))
(fma.f64 z (*.f64 3 z) (*.f64 x y))
(fma.f64 z (*.f64 z 3) (*.f64 x y))
(+.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 (*.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (*.f64 3 (*.f64 z z)))
(fma.f64 z (*.f64 3 z) (*.f64 x y))
(fma.f64 z (*.f64 z 3) (*.f64 x y))
(+.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (fma.f64 z y (*.f64 x x))))
(fma.f64 x x (fma.f64 y z (*.f64 2 (*.f64 x x))))
(fma.f64 y z (*.f64 3 (*.f64 x x)))
(fma.f64 x (*.f64 3 x) (*.f64 y z))
(fma.f64 y z (*.f64 x (*.f64 x 3)))
(+.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (+.f64 (*.f64 y y) (fma.f64 x z (*.f64 y y))))
(fma.f64 y y (fma.f64 x z (*.f64 y (+.f64 y y))))
(fma.f64 x z (*.f64 3 (*.f64 y y)))
(fma.f64 x z (*.f64 y (*.f64 3 y)))
(fma.f64 x z (*.f64 y (*.f64 y 3)))
Symmetry

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
32×fma-def_binary64
5×*-commutative_binary64
4×associate-+l+_binary64
4×associate-*r*_binary64
3×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
11715
23411
35711
47511
58111
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 (*.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (*.f64 3 (*.f64 z z)))
(fma.f64 x y (*.f64 z (*.f64 3 z)))
(fma.f64 x y (*.f64 z (*.f64 z 3)))

eval1.0ms (0%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(fma.f64 x y (*.f64 z (*.f64 z 3)))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Compiler

Compiled 58 to 30 computations (48.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (*.f64 z 3))

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 z (*.f64 z 3))
1.0ms
z
@inf
(*.f64 z (*.f64 z 3))
0.0ms
z
@-inf
(*.f64 z (*.f64 z 3))

rewrite31.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
448×pow1_binary64
414×add-log-exp_binary64
414×log1p-expm1-u_binary64
414×expm1-log1p-u_binary64
406×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211407
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 z (*.f64 z 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (*.f64 z 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 z 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 z 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z 3) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 z 3))))))))

simplify59.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
609×sqr-pow_binary64
451×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
Stop Event
1×node limit
Counts
25 → 15
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
Outputs
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))

eval4.0ms (0.2%)

Compiler

Compiled 161 to 103 computations (36% saved)

prune12.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh101
Picked011
Done000
Total13417
Error
0.0b
Counts
17 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(fma.f64 x y (*.f64 z (*.f64 z 3)))
18.6b
(fma.f64 x y (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z 3) 3))))
0.3b
(fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 3)) 2))
▶0.1b
(fma.f64 x y (*.f64 3 (*.f64 z z)))
Compiler

Compiled 89 to 63 computations (29.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 3 (*.f64 z z))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 3 (*.f64 z z))
0.0ms
z
@inf
(*.f64 3 (*.f64 z z))
0.0ms
z
@-inf
(*.f64 3 (*.f64 z z))

rewrite75.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
432×pow1_binary64
400×add-log-exp_binary64
400×log1p-expm1-u_binary64
400×expm1-log1p-u_binary64
391×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211447
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 3 (*.f64 z z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 z z))))))))

simplify57.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
609×sqr-pow_binary64
451×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
Stop Event
1×node limit
Counts
23 → 13
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
Outputs
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (*.f64 z z))

eval3.0ms (0.1%)

Compiler

Compiled 133 to 75 computations (43.6% saved)

prune13.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New11213
Fresh112
Picked011
Done011
Total12517
Error
0.0b
Counts
17 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
18.6b
(fma.f64 x y (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3)))
✓0.1b
(fma.f64 x y (*.f64 3 (*.f64 z z)))
✓0.1b
(fma.f64 x y (*.f64 z (*.f64 z 3)))
▶0.3b
(fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 3)) 2))
14.7b
(fma.f64 x y (sqrt.f64 (*.f64 9 (pow.f64 z 4))))
Compiler

Compiled 98 to 70 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
✓0.3b
(*.f64 z (sqrt.f64 3))

series4.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 z (sqrt.f64 3))
1.0ms
z
@inf
(*.f64 z (sqrt.f64 3))
1.0ms
z
@0
(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
1.0ms
z
@-inf
(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
0.0ms
z
@-inf
(*.f64 z (sqrt.f64 3))

rewrite36.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
550×pow1_binary64
511×add-log-exp_binary64
510×log1p-expm1-u_binary64
510×expm1-log1p-u_binary64
498×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
114713
2153513
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 3))
(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sqrt.f64 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 z (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (*.f64 3 (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 3)) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (sqrt.f64 3) (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (*.f64 z (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 3)) (*.f64 z (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 4)) (cbrt.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 (*.f64 z (sqrt.f64 3)))) (sqrt.f64 (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sqrt.f64 3)) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 z z))))))))

simplify74.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
642×associate-*l*_binary64
538×sqr-pow_binary64
458×associate-*r*_binary64
453×*-commutative_binary64
328×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09216
119156
238156
395156
4384156
52092156
62205156
72403156
82599156
92830156
103137156
113768156
124243156
134862156
Stop Event
1×node limit
Counts
61 → 40
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
Outputs
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 z (*.f64 z 3))

eval12.0ms (0.5%)

Compiler

Compiled 490 to 323 computations (34.1% saved)

prune68.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New38240
Fresh202
Picked101
Done022
Total41445
Error
0.0b
Counts
45 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(fma.f64 x y (*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3)))
✓0.1b
(fma.f64 x y (*.f64 3 (*.f64 z z)))
✓0.1b
(fma.f64 x y (*.f64 z (*.f64 z 3)))
0.3b
(fma.f64 x y (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 z (sqrt.f64 3)))))
Compiler

Compiled 98 to 70 computations (28.6% saved)

localize14.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 z (sqrt.f64 3)) z)
✓0.3b
(*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))
0.3b
(*.f64 z (sqrt.f64 3))

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))
1.0ms
z
@inf
(*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))
0.0ms
z
@0
(*.f64 (*.f64 z (sqrt.f64 3)) z)
0.0ms
z
@inf
(*.f64 (*.f64 z (sqrt.f64 3)) z)
0.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))

rewrite43.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
596×pow1_binary64
551×add-log-exp_binary64
551×log1p-expm1-u_binary64
551×expm1-log1p-u_binary64
67×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0723
114216
2158616
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3))
(*.f64 (*.f64 z (sqrt.f64 3)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 3)) (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 3) (*.f64 3 (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 z z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (sqrt.f64 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (sqrt.f64 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sqrt.f64 3)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))))))))

simplify68.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
760×associate-*l*_binary64
538×sqr-pow_binary64
504×associate-*r*_binary64
483×*-commutative_binary64
256×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09252
119192
241192
3107192
4443192
52421192
62534192
72730192
82926192
93159192
103464192
114112192
124589192
Stop Event
1×node limit
Counts
52 → 32
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
Outputs
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 z z))
(*.f64 3 (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))
(*.f64 (sqrt.f64 3) (pow.f64 z 2))
(*.f64 (sqrt.f64 3) (*.f64 z z))

eval17.0ms (0.7%)

Compiler

Compiled 655 to 436 computations (33.4% saved)

prune65.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New47148
Fresh101
Picked011
Done022
Total48452
Error
0.0b
Counts
52 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.3b
(fma.f64 x y (*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3)))
✓0.1b
(fma.f64 x y (*.f64 3 (*.f64 z z)))
✓0.1b
(fma.f64 x y (*.f64 z (*.f64 z 3)))
0.3b
(fma.f64 x y (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))) 2) (sqrt.f64 3)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes50.0ms (2.1%)

Accuracy

Total -18.6b remaining (-16975.1%)

Threshold costs -18.6b (-16975.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(fma.f64 x y (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) (*.f64 z z))) 2) (sqrt.f64 3)))
(fma.f64 x y (*.f64 (*.f64 (*.f64 z (sqrt.f64 3)) z) (sqrt.f64 3)))
(fma.f64 x y (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 z (sqrt.f64 3)))))
(fma.f64 x y (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3)))
(fma.f64 x y (sqrt.f64 (*.f64 9 (pow.f64 z 4))))
(fma.f64 x y (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z 3) 3))))
(fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 3)) 2))
(fma.f64 x y (*.f64 3 (*.f64 z z)))
(fma.f64 x y (*.f64 z (*.f64 z 3)))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Outputs
(fma.f64 x y (*.f64 z (*.f64 z 3)))
Results
TimeErrorSegmentsBranch
7.0ms0.1b1x
6.0ms0.1b1y
7.0ms0.1b1z
7.0ms0.1b1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
6.0ms0.1b1(*.f64 x y)
4.0ms0.1b1(*.f64 z z)
8.0ms0.1b1(*.f64 z z)
Compiler

Compiled 171 to 102 computations (40.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y (*.f64 z (*.f64 z 3)))
Outputs
(fma.f64 x y (*.f64 z (*.f64 z 3)))

end17.0ms (0.7%)

Stop Event
1×fuel
Remove

(sort x y)

Compiler

Compiled 44 to 28 computations (36.4% saved)

Profiling

Loading profile data...