Details

Time bar (total: 2.3s)

analyze7.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%37.5%12.5%4
62.5%18.7%18.8%5
68.7%9.4%21.9%6
71.8%4.7%23.5%7
73.4%2.3%24.3%8
74.2%1.2%24.6%9
74.6%0.6%24.8%10
74.8%0.3%24.9%11
74.9%0.1%25%12
74.9%0.1%25.1%13
74.9%0%25.1%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample860.0ms (37%)

Results
847.0ms8256×body128valid
0.0msbody128invalid

preprocess52.0ms (2.2%)

Algorithm
egg-herbie
Rules
972×fma-def_binary64
722×fma-neg_binary64
154×cancel-sign-sub-inv_binary64
107×distribute-rgt-in_binary64
80×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
13314
27612
318212
43779
55429
68699
715359
824469
928279
1029399
1130659
1230719
1330719
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
Outputs
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
(*.f64 3 (+.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 1))
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify42.0ms (1.8%)

Algorithm
egg-herbie
Rules
972×fma-def_binary64
722×fma-neg_binary64
154×cancel-sign-sub-inv_binary64
107×distribute-rgt-in_binary64
80×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01119
13314
27612
318212
43779
55429
68699
715359
824469
928279
1029399
1130659
1230719
1330719
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
Outputs
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
(*.f64 3 (+.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 1))
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))
(fma.f64 x (fma.f64 x 9 -12) 3)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)
Compiler

Compiled 65 to 50 computations (23.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x 9 -12)
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x (fma.f64 x 9 -12) 3)
1.0ms
x
@-inf
(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms
x
@inf
(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms
x
@inf
(fma.f64 x 9 -12)
0.0ms
x
@-inf
(fma.f64 x 9 -12)

rewrite36.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
607×pow1_binary64
568×add-log-exp_binary64
568×log1p-expm1-u_binary64
568×expm1-log1p-u_binary64
66×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114214
2149514
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x 9 -12)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))))

simplify65.0ms (2.8%)

Algorithm
egg-herbie
Rules
532×associate-*l*_binary64
494×fma-def_binary64
434×unswap-sqr_binary64
370×sqr-pow_binary64
327×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016180
135168
256156
388144
4192144
5531144
61764144
73092144
83297144
93509144
103729144
114037144
124437144
134947144
Stop Event
node limit
Counts
68 → 58
Calls
Call 1
Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 -12 x))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 -12 x))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)

prune50.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh011
Picked011
Done000
Total56460
Error
0.0b
Counts
60 → 4
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.4b
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3) 3)
Compiler

Compiled 695 to 545 computations (21.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
0.0b
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
0.2b
(*.f64 9 (pow.f64 x 2))

series4.0ms (0.2%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 9 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 9 (pow.f64 x 2))
0.0ms
x
@inf
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
0.0ms
x
@0
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
0.0ms
x
@inf
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))

rewrite56.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
479×log-prod_binary64
408×fma-def_binary64
228×fma-neg_binary64
200×expm1-udef_binary64
200×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01131
124727
2306527
Stop Event
node limit
Counts
3 → 129
Calls
Call 1
Inputs
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1))))))
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simplify60.0ms (2.6%)

Algorithm
egg-herbie
Rules
538×associate-*l*_binary64
434×unswap-sqr_binary64
384×fma-def_binary64
370×sqr-pow_binary64
323×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01157
12257
23755
37351
417351
549351
6169751
7295651
8316051
9337251
10359251
11389651
12429651
13480651
Stop Event
node limit
Counts
138 → 136
Calls
Call 1
Inputs
3
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
Outputs
3
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 x -12))
(*.f64 x (+.f64 (*.f64 9 x) -12))
(*.f64 x (fma.f64 9 x -12))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 x -12))
(*.f64 x (+.f64 (*.f64 9 x) -12))
(*.f64 x (fma.f64 9 x -12))

prune144.0ms (6.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1342136
Fresh112
Picked101
Done011
Total1364140
Error
0b
Counts
140 → 4
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2)))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)
0.1b
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
Compiler

Compiled 2294 to 1543 computations (32.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
0.1b
(fma.f64 9 (*.f64 x x) 3)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 9 (*.f64 x x) 3)
0.0ms
x
@0
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
0.0ms
x
@inf
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
0.0ms
x
@-inf
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
0.0ms
x
@inf
(fma.f64 9 (*.f64 x x) 3)

rewrite42.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
670×pow1_binary64
625×add-log-exp_binary64
625×log1p-expm1-u_binary64
625×expm1-log1p-u_binary64
76×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
116220
2171120
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9 (*.f64 x x)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3) 27) (+.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (-.f64 9 (*.f64 (*.f64 9 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) 9) (-.f64 (*.f64 9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (*.f64 x x) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12) 1) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) (sqrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -12) 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))))

simplify66.0ms (2.9%)

Algorithm
egg-herbie
Rules
529×associate-*l*_binary64
513×fma-def_binary64
434×unswap-sqr_binary64
370×sqr-pow_binary64
310×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
013231
128201
249199
393177
4205177
5524177
61721177
73065177
83271177
93483177
103703177
114014177
124414177
134924177
Stop Event
node limit
Counts
69 → 56
Calls
Call 1
Inputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
Outputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 x -12))
(*.f64 x (+.f64 (*.f64 9 x) -12))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 9 (*.f64 x x)))
(fma.f64 9 (*.f64 x x) (*.f64 x -12))
(*.f64 x (+.f64 (*.f64 9 x) -12))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)

prune48.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done011
Total56460
Error
0b
Counts
60 → 4
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2)))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)
0.1b
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
Compiler

Compiled 807 to 540 computations (33.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)
0.0b
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.1b
(*.f64 (*.f64 x 3) x)

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
1.0ms
x
@0
(*.f64 (*.f64 x 3) x)
0.0ms
x
@inf
(*.f64 (*.f64 x 3) x)
0.0ms
x
@0
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.0ms
x
@inf
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))

rewrite83.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
707×fma-def_binary64
400×fma-neg_binary64
206×log1p-udef_binary64
204×expm1-udef_binary64
190×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01155
125644
2335236
Stop Event
node limit
Counts
4 → 331
Calls
Call 1
Inputs
(*.f64 (*.f64 x 3) x)
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
(+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))))
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(fma.f64 x (fma.f64 x 3 -4) -1)) (fma.f64 x -4 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (sqrt.f64 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (sqrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (sqrt.f64 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (sqrt.f64 x) 2)) (+.f64 (fma.f64 x -4 (*.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)) (neg.f64 (fma.f64 x 4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)) (fma.f64 x -4 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)) (neg.f64 (fma.f64 x 4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)) (fma.f64 x -4 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 x 4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -4 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 x 4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -4 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 3 -4))) 1))))))

simplify83.0ms (3.6%)

Algorithm
egg-herbie
Rules
599×sqr-pow_binary64
374×fma-def_binary64
325×fabs-mul_binary64
309×cube-prod_binary64
274×pow-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020455
145429
281416
3159354
4359354
5943354
61455354
71923354
82033354
92167354
102336354
112579354
122894354
133266354
143723354
154304354
Stop Event
node limit
Counts
379 → 351
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(*.f64 -4 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (*.f64 x (*.f64 x 9)))
(*.f64 x (+.f64 -12 (*.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (*.f64 x (*.f64 x 9)))
(*.f64 x (+.f64 -12 (*.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (*.f64 x -4) 1)
(fma.f64 x -4 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -4))
(*.f64 x (+.f64 (*.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 (*.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)

prune463.0ms (19.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3501351
Fresh101
Picked011
Done022
Total3514355
Error
0b
Counts
355 → 4
Alt Table
StatusErrorProgram
0.1b
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
0.1b
(fma.f64 x (fma.f64 x 9 -12) 3)
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.1b
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
Compiler

Compiled 7314 to 5655 computations (22.7% saved)

regimes72.0ms (3.1%)

Accuracy

Total -0.2b remaining (-174.9%)

Threshold costs -0.2b (-174.9%)

Counts
31 → 1
Compiler

Compiled 341 to 256 computations (24.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
Outputs
(fma.f64 x (fma.f64 x 9 -12) 3)

end52.0ms (2.2%)

Stop Event
fuel
Compiler

Compiled 54 to 40 computations (25.9% saved)

Profiling

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