Details

Time bar (total: 2.1s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%24.9%13
75%0%25%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample722.0ms (34.6%)

Results
709.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess26.0ms (1.2%)

Algorithm
egg-herbie
Rules
271×fma-def_binary64
256×fma-neg_binary64
75×cancel-sign-sub-inv_binary64
54×sub-neg_binary64
30×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
12511
26511
314711
42919
54869
67189
710499
811669
911859
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (*.f64 x (+.f64 253/1000 (*.f64 x 3/25))))
Outputs
(-.f64 1 (*.f64 x (+.f64 253/1000 (*.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
Compiler

Compiled 10 to 8 computations (20% saved)

simplify18.0ms (0.9%)

Algorithm
egg-herbie
Rules
271×fma-def_binary64
256×fma-neg_binary64
75×cancel-sign-sub-inv_binary64
54×sub-neg_binary64
30×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0913
12511
26511
314711
42919
54869
67189
710499
811669
911859
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (*.f64 x (+.f64 253/1000 (*.f64 x 3/25))))
Outputs
(-.f64 1 (*.f64 x (+.f64 253/1000 (*.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.1b
(fma.f64 x -3/25 -253/1000)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x -3/25 -253/1000)
0.0ms
x
@inf
(fma.f64 x -3/25 -253/1000)
0.0ms
x
@0
(fma.f64 x -3/25 -253/1000)
0.0ms
x
@0
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms
x
@inf
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

rewrite35.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
581×pow1_binary64
543×add-log-exp_binary64
543×log1p-expm1-u_binary64
543×expm1-log1p-u_binary64
534×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
113614
2141614
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(fma.f64 x -3/25 -253/1000)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify67.0ms (3.2%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
015182
134168
256156
388144
4196144
5538144
61734144
73068144
83274144
93487144
103707144
114016144
124416144
134924144
Stop Event
node limit
Counts
66 → 55
Calls
Call 1
Inputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
Outputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (*.f64 x x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(fma.f64 -3/25 (*.f64 x x) (*.f64 -253/1000 x))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (*.f64 x x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(fma.f64 -3/25 (*.f64 x x) (*.f64 -253/1000 x))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)

prune44.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh000
Picked011
Done000
Total51556
Error
0.0b
Counts
56 → 5
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.4b
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)
53.9b
(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)
0.4b
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
Compiler

Compiled 683 to 537 computations (21.4% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
0.1b
(*.f64 -253/1000 x)
0.2b
(*.f64 -3/25 (pow.f64 x 2))

series4.0ms (0.2%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -3/25 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 -3/25 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 -253/1000 x)
0.0ms
x
@inf
(*.f64 -253/1000 x)
0.0ms
x
@inf
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))

rewrite54.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
543×fma-def_binary64
461×log-prod_binary64
249×fma-neg_binary64
192×expm1-udef_binary64
192×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
124123
2299223
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -253/1000 x)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
Outputs
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simplify60.0ms (2.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01144
12242
23640
37236
417236
549236
6169436
7295936
8316336
9337736
10359736
11390336
12430536
13481536
Stop Event
node limit
Counts
122 → 123
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
Outputs
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (*.f64 x x))
(*.f64 x (*.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(fma.f64 -3/25 (*.f64 x x) (*.f64 -253/1000 x))
(fma.f64 -253/1000 x (*.f64 x (*.f64 x -3/25)))
(*.f64 x (+.f64 -253/1000 (*.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (*.f64 x x))
(*.f64 x (*.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (*.f64 -253/1000 x))
(fma.f64 -3/25 (*.f64 x x) (*.f64 -253/1000 x))
(fma.f64 -253/1000 x (*.f64 x (*.f64 x -3/25)))
(*.f64 x (+.f64 -253/1000 (*.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))

prune201.0ms (9.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1212123
Fresh213
Picked011
Done011
Total1235128
Error
0.0b
Counts
128 → 5
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
8.6b
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 9/625) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))) (/.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))))
12.3b
(+.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -27/15625)) (+.f64 1 (*.f64 -253/1000 x)))
0.4b
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
Compiler

Compiled 2135 to 1541 computations (27.8% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
0.1b
(fma.f64 x -3/25 -253/1000)
0.2b
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
0.9b
(cbrt.f64 (fma.f64 x -3/25 -253/1000))

series12.0ms (0.6%)

Counts
3 → 14
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(cbrt.f64 (fma.f64 x -3/25 -253/1000))
2.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
1.0ms
x
@inf
(cbrt.f64 (fma.f64 x -3/25 -253/1000))

rewrite49.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
750×pow1_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
81×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120621
2192521
Stop Event
node limit
Counts
3 → 72
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 x -3/25 -253/1000))
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (*.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 -253/1000)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify33.0ms (1.6%)

Algorithm
egg-herbie
Rules
502×times-frac_binary64
431×fma-def_binary64
306×associate-*l*_binary64
291×associate-*r*_binary64
224×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079396
1229377
2734357
33650355
Stop Event
node limit
Counts
86 → 93
Calls
Call 1
Inputs
(cbrt.f64 -253/1000)
(+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))
(+.f64 (*.f64 -1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000)))
(+.f64 (*.f64 -1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))))
-253/1000
(-.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x) 253/1000)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x)) 253/1000)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 32/94875 (cbrt.f64 -253/1000)) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))))) (*.f64 1/46875 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x))) 253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -253/1000 x) (*.f64 (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 3)))))
1
1
Outputs
(cbrt.f64 -253/1000)
(+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))
(fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 -1/25 x) (cbrt.f64 -253/1000))
(+.f64 (*.f64 -1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000)))
(fma.f64 -1/625 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (*.f64 x x)) (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000)))
(fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (fma.f64 -1/625 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))) (cbrt.f64 -253/1000)))
(+.f64 (*.f64 -1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))))
(fma.f64 -1/625 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (*.f64 x x)) (fma.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4)) (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 -1/25 x) (cbrt.f64 -253/1000)) (fma.f64 -1/625 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))) (*.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 -253/1000)) 8/18975)))
-253/1000
(-.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x) 253/1000)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) x -253/1000)
(fma.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) -253/1000)
(fma.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) (*.f64 x -3/25) -253/1000)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x)) 253/1000)
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -253/1000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))) 1/625))) (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) x -253/1000))
(fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))) (fma.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) -253/1000))
(fma.f64 x (*.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) -3/25) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))) -253/1000))
(fma.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) -3/25) (*.f64 x (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))))) -253/1000)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 32/94875 (cbrt.f64 -253/1000)) (+.f64 (*.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))))) (*.f64 1/46875 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) x))) 253/1000)
(+.f64 (fma.f64 (fma.f64 32/94875 (cbrt.f64 -253/1000) (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625)) (/.f64 1/46875 (pow.f64 (cbrt.f64 -253/1000) 2)))) (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 -253/1000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))) 1/625)) (*.f64 x x) (*.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25)))) -253/1000)
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -253/1000) 32/94875 (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))))) (/.f64 1/46875 (pow.f64 (cbrt.f64 -253/1000) 2)))) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))) (fma.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) -253/1000)))
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -253/1000) 32/94875 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))) 1/15625) (/.f64 1/46875 (pow.f64 (cbrt.f64 -253/1000) 2)))) (fma.f64 x (*.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) -3/25) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))) -253/1000)))
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -253/1000) 32/94875 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))) 1/15625) (/.f64 1/46875 (pow.f64 (cbrt.f64 -253/1000) 2)))) (fma.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) -3/25) (*.f64 x (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))))) -253/1000))
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(+.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) (*.f64 x x) (+.f64 1 (*.f64 -253/1000 x)))
(fma.f64 (*.f64 x x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) (*.f64 x -3/25) -253/1000)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3)) (*.f64 -1/25 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -253/1000 x) (*.f64 (+.f64 (*.f64 -1/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 -253/1000) (+.f64 (*.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (*.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)))) (*.f64 2/625 (pow.f64 (/.f64 1 (cbrt.f64 -253/1000)) 1/3)))) (pow.f64 x 3)))))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) (*.f64 x x) (+.f64 1 (fma.f64 -253/1000 x (*.f64 (pow.f64 x 3) (fma.f64 -1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))) (fma.f64 (cbrt.f64 -253/1000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))) 2/625)))))))
(fma.f64 (*.f64 x x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)) -3/25) (+.f64 1 (fma.f64 -253/1000 x (*.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000)))))))))
(+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -253/1000) (*.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000)))) (*.f64 1/625 (cbrt.f64 (/.f64 1 (cbrt.f64 -253/1000))))) 1) (*.f64 x (fma.f64 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000))) (*.f64 x -3/25) -253/1000)))
1
1

prune133.0ms (6.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1162118
Fresh112
Picked011
Done022
Total1176123
Error
0.0b
Counts
123 → 6
Alt Table
StatusErrorProgram
10.1b
(fma.f64 x (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) 1)
0.4b
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
0.1b
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
8.6b
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 9/625) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))) (/.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))))
0.2b
(fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 1)
Compiler

Compiled 2188 to 1860 computations (15% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))
0.1b
(pow.f64 (fma.f64 x -3/25 -253/1000) 2)
0.9b
(cbrt.f64 (fma.f64 x -3/25 -253/1000))
1.2b
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))

series4.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
0.0ms
x
@0
(pow.f64 (fma.f64 x -3/25 -253/1000) 2)
0.0ms
x
@-inf
(pow.f64 (fma.f64 x -3/25 -253/1000) 2)

rewrite42.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
705×pow1_binary64
662×log1p-expm1-u_binary64
662×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
88×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01035
120323
2206823
Stop Event
node limit
Counts
3 → 69
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
(pow.f64 (fma.f64 x -3/25 -253/1000) 2)
(*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) (fma.f64 x -3/25 -253/1000)) (*.f64 -253/1000 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x -3/25 -253/1000) (*.f64 x -3/25)) (*.f64 (fma.f64 x -3/25 -253/1000) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (*.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3/25 -253/1000) (sqrt.f64 (fma.f64 x -3/25 -253/1000))) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3/25 -253/1000) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)) 1) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 -253/1000)))))

simplify53.0ms (2.5%)

Algorithm
egg-herbie
Rules
826×times-frac_binary64
680×fma-def_binary64
274×associate-/r/_binary64
205×distribute-rgt-in_binary64
203×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056367
1145353
2382341
31619319
Stop Event
node limit
Counts
97 → 89
Calls
Call 1
Inputs
(cbrt.f64 64009/1000000)
(+.f64 (cbrt.f64 64009/1000000) (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 64009/1000000) (+.f64 (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64009/1000000) 2)))))
(+.f64 (cbrt.f64 64009/1000000) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 253/6250 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5)) 1/3) (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))))) (*.f64 16194277/1953125000000 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64009/1000000) 2))) (+.f64 (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64009/1000000) 2))))))
64009/1000000
(+.f64 (*.f64 759/12500 x) 64009/1000000)
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(*.f64 9/625 (pow.f64 x 2))
(+.f64 (*.f64 759/12500 x) (*.f64 9/625 (pow.f64 x 2)))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(*.f64 9/625 (pow.f64 x 2))
(+.f64 (*.f64 759/12500 x) (*.f64 9/625 (pow.f64 x 2)))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
Outputs
(cbrt.f64 64009/1000000)
(+.f64 (cbrt.f64 64009/1000000) (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 64009/1000000) (*.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x)))
(fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (cbrt.f64 64009/1000000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) (*.f64 253/12500 x) (cbrt.f64 64009/1000000))
(+.f64 (cbrt.f64 64009/1000000) (+.f64 (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64009/1000000) 2)))))
(+.f64 (cbrt.f64 64009/1000000) (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (*.f64 1/3 (/.f64 (-.f64 9/625 (*.f64 192027/156250000 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))))) (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (*.f64 x x))))))
(+.f64 (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (cbrt.f64 64009/1000000)) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (*.f64 x (*.f64 x (+.f64 9/625 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000)))))))
(fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625) (pow.f64 (cbrt.f64 64009/1000000) 2))) (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (cbrt.f64 64009/1000000)))
(fma.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 64009/1000000) 2)) (*.f64 x (*.f64 x (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) (*.f64 253/12500 x) (cbrt.f64 64009/1000000)))
(+.f64 (cbrt.f64 64009/1000000) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 253/6250 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5)) 1/3) (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))))) (*.f64 16194277/1953125000000 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64009/1000000) 2))) (+.f64 (*.f64 253/12500 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 9/625 (*.f64 192027/156250000 (pow.f64 (/.f64 1 (cbrt.f64 64009/1000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64009/1000000) 2))))))
(+.f64 (cbrt.f64 64009/1000000) (fma.f64 -1/3 (/.f64 (fma.f64 253/6250 (*.f64 (-.f64 9/625 (*.f64 192027/156250000 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5)))) (/.f64 16194277/1953125000000 (pow.f64 (cbrt.f64 64009/1000000) 2))) (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (pow.f64 x 3))) (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (*.f64 1/3 (/.f64 (-.f64 9/625 (*.f64 192027/156250000 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))))) (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (*.f64 x x)))))))
(+.f64 (cbrt.f64 64009/1000000) (fma.f64 -1/3 (/.f64 (fma.f64 253/6250 (*.f64 (+.f64 9/625 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5)))) (/.f64 16194277/1953125000000 (pow.f64 (cbrt.f64 64009/1000000) 2))) (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (pow.f64 x 3))) (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (*.f64 x (*.f64 x (+.f64 9/625 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000)))))))))
(fma.f64 -1/3 (*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625) 253/6250) (/.f64 16194277/1953125000000 (pow.f64 (cbrt.f64 64009/1000000) 2))) (pow.f64 (cbrt.f64 64009/1000000) 2))) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625) (pow.f64 (cbrt.f64 64009/1000000) 2))) (fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (cbrt.f64 64009/1000000))))
(fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (fma.f64 1/3 (*.f64 x (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625) (pow.f64 (cbrt.f64 64009/1000000) 2)) x)) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 64009/1000000) 2)) (fma.f64 253/6250 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64009/1000000))) -192027/156250000 9/625) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 5)))) (/.f64 16194277/1953125000000 (pow.f64 (cbrt.f64 64009/1000000) 2)))) (cbrt.f64 64009/1000000))))
64009/1000000
(+.f64 (*.f64 759/12500 x) 64009/1000000)
(fma.f64 759/12500 x 64009/1000000)
(fma.f64 x 759/12500 64009/1000000)
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (*.f64 x x))
(*.f64 x (*.f64 x 9/625))
(+.f64 (*.f64 759/12500 x) (*.f64 9/625 (pow.f64 x 2)))
(fma.f64 759/12500 x (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (*.f64 x (*.f64 x 9/625)))
(*.f64 x (+.f64 (*.f64 x 9/625) 759/12500))
(*.f64 x (fma.f64 x 9/625 759/12500))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (*.f64 x x))
(*.f64 x (*.f64 x 9/625))
(+.f64 (*.f64 759/12500 x) (*.f64 9/625 (pow.f64 x 2)))
(fma.f64 759/12500 x (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (*.f64 x (*.f64 x 9/625)))
(*.f64 x (+.f64 (*.f64 x 9/625) 759/12500))
(*.f64 x (fma.f64 x 9/625 759/12500))
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
(+.f64 (*.f64 759/12500 x) (+.f64 64009/1000000 (*.f64 9/625 (pow.f64 x 2))))
(+.f64 (fma.f64 759/12500 x 64009/1000000) (*.f64 9/625 (*.f64 x x)))
(fma.f64 x 759/12500 (fma.f64 9/625 (*.f64 x x) 64009/1000000))
(fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000)
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)

prune245.0ms (11.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh022
Picked101
Done123
Total1195124
Error
0.0b
Counts
124 → 5
Alt Table
StatusErrorProgram
0.2b
(fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 759/12500) 64009/1000000))) 1)
0.1b
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.1b
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (*.f64 -253/1000 x)))
8.6b
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 9/625) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))) (/.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))))
10.1b
(fma.f64 x (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) 1)
Compiler

Compiled 2514 to 2108 computations (16.1% saved)

regimes145.0ms (7%)

Accuracy

Total 0.1b remaining (78.8%)

Threshold costs 0.1b (78.8%)

Counts
57 → 1
Compiler

Compiled 809 to 616 computations (23.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11112
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 -3/25 x) x (fma.f64 x -253/1000 1))
Outputs
(fma.f64 (*.f64 -3/25 x) x (fma.f64 x -253/1000 1))

end103.0ms (4.9%)

Stop Event
fuel
Compiler

Compiled 107 to 82 computations (23.4% saved)

Profiling

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