Details

Time bar (total: 1.1s)

analyze0.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
25%0%75%1
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample717.0ms (62.4%)

Results
706.0ms8256×body128valid

preprocess67.0ms (5.9%)

Algorithm
egg-herbie
Rules
731×sqr-pow_binary64
380×cube-prod_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
224×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1158
2318
3468
4718
51238
62398
76738
813648
914658
1015988
1117568
1219878
1323118
1427328
1532328
1638258
1745478
1848688
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
Compiler

Compiled 10 to 4 computations (60% saved)

simplify60.0ms (5.2%)

Algorithm
egg-herbie
Rules
731×sqr-pow_binary64
380×cube-prod_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
224×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0510
1158
2318
3468
4718
51238
62398
76738
813648
914658
1015988
1117568
1219878
1323118
1427328
1532328
1638258
1745478
1848688
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))

prune2.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
0.0b
(*.f64 x (fma.f64 x x x))
Compiler

Compiled 50 to 20 computations (60% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
0.1b
(*.f64 x (*.f64 x x))

series3.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (*.f64 x x))
1.0ms
x
@-inf
(*.f64 x (*.f64 x x))
1.0ms
x
@inf
(*.f64 x (*.f64 x x))
0.0ms
x
@0
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
0.0ms
x
@inf
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))

rewrite60.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
587×pow1_binary64
553×add-log-exp_binary64
552×log1p-expm1-u_binary64
552×expm1-log1p-u_binary64
58×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0514
111612
2160412
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 x (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))))

simplify57.0ms (5%)

Algorithm
egg-herbie
Rules
1141×fma-def_binary64
536×unswap-sqr_binary64
378×sqr-pow_binary64
204×cube-prod_binary64
177×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07150
120132
244132
381132
4210132
5854132
62558132
73309132
83602132
93922132
104332132
114852132
Stop Event
node limit
Counts
79 → 58
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))

prune151.0ms (13.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New57158
Fresh101
Picked101
Done000
Total59160
Error
0b
Counts
60 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 x x (pow.f64 x 3))
Compiler

Compiled 636 to 326 computations (48.7% saved)

localize4.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 x x (pow.f64 x 3))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.5%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0.0b (-∞%)

Counts
3 → 1
Calls
Call 1
Inputs
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(fma.f64 x x (pow.f64 x 3))
Results
3.0ms0bx
2.0ms0b(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 34 to 14 computations (58.8% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (pow.f64 x 3))
Outputs
(fma.f64 x x (pow.f64 x 3))

end14.0ms (1.2%)

Stop Event
done
Compiler

Compiled 14 to 8 computations (42.9% saved)

Profiling

Loading profile data...