Details

Time bar (total: 6.9s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
62.5%25%12.5%5
62.5%12.5%25%6
65.6%6.2%28.2%7
65.6%3.1%31.3%8
66.4%1.6%32.1%9
66.4%0.8%32.8%10
66.6%0.4%33%11
66.6%0.2%33.2%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (18.5%)

Results
1.2s8256×body256valid
1.0ms12×body256invalid

preprocess144.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
986×fma-neg_binary64
733×fma-def_binary64
474×distribute-rgt-neg-in_binary64
422×cancel-sign-sub-inv_binary64
375×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12111
25511
313311
422611
538911
676811
7168011
8259611
9379811
10471211
11547111
12570211
13600511
14682611
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify118.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
986×fma-neg_binary64
733×fma-def_binary64
474×distribute-rgt-neg-in_binary64
422×cancel-sign-sub-inv_binary64
375×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
12111
25511
313311
422611
538911
676811
7168011
8259611
9379811
10471211
11547111
12570211
13600511
14682611
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

eval1.0ms (0%)

Compiler

Compiled 20 to 14 computations (30% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
✓0.1b
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
✓0.2b
(*.f64 (*.f64 x x) x)
✓0.2b
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 33 to 14 computations (57.6% saved)

series12.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
1.0ms
x
@-inf
(*.f64 (*.f64 x x) x)
1.0ms
x
@-inf
(*.f64 238732414637843/250000000000000 x)
1.0ms
x
@0
(*.f64 (*.f64 x x) x)
1.0ms
x
@inf
(*.f64 238732414637843/250000000000000 x)

rewrite190.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
459×log-prod_binary64
403×fma-def_binary64
358×prod-exp_binary64
341×exp-prod_binary64
274×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
120426
2261026
Stop Event
1×node limit
Counts
4 → 272
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x x) x)
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 238732414637843/250000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 238732414637843/250000000000000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))) (sqrt.f64 (log.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 238732414637843/250000000000000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) (*.f64 (log.f64 x) 1)))))))
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-6450306886639899/50000000000000000 (*.f64 x x)) x (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))))

simplify182.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
836×cube-prod_binary64
818×unswap-sqr_binary64
629×sqr-pow_binary64
551×fabs-mul_binary64
540×unpow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011249
124249
256249
3122249
4225249
5563249
6731249
71054249
82336249
92437249
102596249
112803249
123108249
133536249
144099249
154777249
165633249
176299249
186858249
197420249
207948249
Stop Event
1×node limit
Counts
308 → 280
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval221.0ms (3.2%)

Compiler

Compiled 5405 to 4095 computations (24.2% saved)

prune119.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New26416280
Fresh000
Picked011
Done000
Total26417281
Error
0.0b
Counts
281 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.8b
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶31.7b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
✓0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.1b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
1.1b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
38.9b
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
27.0b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
46.6b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
1.4b
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
▶16.0b
(*.f64 x 238732414637843/250000000000000)
0.2b
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
1.2b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.1b
(/.f64 1 (/.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
0.7b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
0.2b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
▶0.2b
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
▶32.2b
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 466 to 344 computations (26.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
✓0.1b
(*.f64 x -6450306886639899/50000000000000000)
✓0.2b
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms
x
@0
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms
x
@-inf
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms
x
@0
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
0.0ms
x
@0
(*.f64 x -6450306886639899/50000000000000000)

rewrite91.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
597×add-log-exp_binary64
597×log1p-expm1-u_binary64
597×expm1-log1p-u_binary64
586×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
114223
2159423
Stop Event
1×node limit
Counts
3 → 45
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))

simplify182.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
530×fabs-mul_binary64
414×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015252
134252
261252
3125252
4358252
51404252
62777252
72963252
83213252
93500252
103879252
114393252
124996252
135702252
146173252
156494252
166762252
176928252
187018252
197695252
Stop Event
1×node limit
Counts
81 → 57
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x 238732414637843/250000000000000)
0.0ms
x
@inf
(*.f64 x 238732414637843/250000000000000)
0.0ms
x
@-inf
(*.f64 x 238732414637843/250000000000000)

rewrite61.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)) (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/125000000000000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) 1) (+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
37 → 26
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.2b
(*.f64 (*.f64 x x) x)
✓0.2b
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
✓20.6b
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 44 to 18 computations (59.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
1.0ms
x
@inf
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
0.0ms
x
@0
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms
x
@inf
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))

rewrite186.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
493×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112411
2139711
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))))

simplify180.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1101×sqr-pow_binary64
582×associate-*l*_binary64
565×cube-prod_binary64
557×fabs-mul_binary64
528×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010132
118132
229132
358132
4138132
5442132
61604132
72497132
82661132
92874132
103094132
113397132
123799132
134292132
144860132
155550132
166383132
176773132
187057132
197333132
207409132
217443132
Stop Event
1×node limit
Counts
62 → 42
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.2b
(*.f64 (*.f64 x x) x)
0.2b
(*.f64 238732414637843/250000000000000 x)
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
Compiler

Compiled 47 to 26 computations (44.7% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)

rewrite56.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
487×add-sqr-sqrt_binary64
465×add-log-exp_binary64
465×log1p-expm1-u_binary64
465×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
11464
213194
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (sqrt.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) (pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x))) (sqrt.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 2) (cbrt.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 1/4) (*.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 1/4) (sqrt.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 238732414637843/250000000000000) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (pow.f64 (*.f64 238732414637843/250000000000000 x) 1/4)) (pow.f64 (*.f64 238732414637843/250000000000000 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 238732414637843/250000000000000) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (cbrt.f64 (*.f64 238732414637843/250000000000000 x))) (cbrt.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
25 → 25
Calls
Call 1
Inputs
Outputs

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓0.1b
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
✓0.2b
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series7.0ms (0.1%)

Counts
3 → 14
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms
x
@0
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms
x
@inf
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms
x
@-inf
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
0.0ms
x
@0
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))

rewrite88.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
859×pow1_binary64
806×add-log-exp_binary64
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
788×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121126
2224526
Stop Event
1×node limit
Counts
3 → 43
Calls
Call 1
Inputs
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 238732414637843/250000000000000 x)) (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 238732414637843/250000000000000 x)) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

simplify167.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0698
11598
23298
35698
411498
532698
6118098
7186998
8195698
9208998
10224798
11248698
12280898
13323198
14373398
15433598
16505798
17537898
18566498
19588698
20606498
21614498
22708498
Stop Event
1×node limit
Counts
57 → 44
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

eval122.0ms (1.8%)

Compiler

Compiled 5242 to 3667 computations (30% saved)

prune54.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3543357
Fresh7411
Picked101
Done325
Total3659374
Error
0b
Counts
374 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
▶4.5b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
▶46.7b
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
✓16.0b
(*.f64 x 238732414637843/250000000000000)
0.7b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
▶0.2b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
▶46.6b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
1.4b
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
Compiler

Compiled 180 to 129 computations (28.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -6450306886639899/50000000000000000 x)
✓0.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
0.2b
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
0.0ms
x
@0
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
0.0ms
x
@-inf
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
0.0ms
x
@-inf
(*.f64 -6450306886639899/50000000000000000 x)
0.0ms
x
@0
(*.f64 -6450306886639899/50000000000000000 x)

rewrite87.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
704×pow1_binary64
655×add-log-exp_binary64
655×log1p-expm1-u_binary64
655×expm1-log1p-u_binary64
641×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
116217
2181317
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 x)))))))

simplify168.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
469×fabs-mul_binary64
444×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09117
121117
241117
387117
4153117
5375117
61244117
71957117
82044117
92177117
102335117
112576117
122898117
133322117
143825117
154426117
165148117
175469117
185751117
195971117
206151117
216231117
227171117
Stop Event
1×node limit
Counts
44 → 36
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x -6450306886639899/50000000000000000)
✓0.2b
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓0.2b
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
0.0ms
x
@inf
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
0.0ms
x
@0
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms
x
@-inf
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
0.0ms
x
@-inf
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
551×pow1_binary64
510×add-log-exp_binary64
510×log1p-expm1-u_binary64
510×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112214
2141614
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

simplify162.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1208×sqr-pow_binary64
564×cube-prod_binary64
537×fabs-mul_binary64
536×unswap-sqr_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
123168
248168
3105168
4296168
51235168
62405168
72571168
82821168
93108168
103487168
113993168
124591168
135301168
145768168
156093168
166367168
176537168
186631168
197308168
Stop Event
1×node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
✓0.2b
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
0.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
0.0ms
x
@-inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
0.0ms
x
@0
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)

rewrite72.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
823×add-log-exp_binary64
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
809×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117820
2223320
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))))

simplify180.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
462×fabs-mul_binary64
460×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013201
130201
262201
3146201
4402201
51579201
63011201
73197201
83447201
93734201
104113201
114629201
125232201
135942201
146411201
156730201
167002201
177172201
187266201
197943201
Stop Event
1×node limit
Counts
54 → 36
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
✓0.2b
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓0.2b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓4.6b
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Compiler

Compiled 88 to 61 computations (30.7% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
1.0ms
x
@inf
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
1.0ms
x
@0
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
1.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite180.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
717×log-prod_binary64
365×fma-def_binary64
320×prod-diff_binary64
269×fma-neg_binary64
244×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01259
128329
2390829
Stop Event
1×node limit
Counts
3 → 251
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
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Outputs
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simplify190.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
957×sqr-pow_binary64
803×unswap-sqr_binary64
635×cube-prod_binary64
593×pow-sqr_binary64
549×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018288
139288
275288
3178288
4601288
51058288
62413288
72532288
82706288
92921288
103204288
113580288
124024288
134576288
145268288
155729288
166038288
176312288
186524288
196720288
207501288
Stop Event
1×node limit
Counts
287 → 262
Calls
Call 1
Inputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
Outputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Compiler

Compiled 12 to 9 computations (25% saved)

eval405.0ms (5.9%)

Compiler

Compiled 15409 to 11048 computations (28.3% saved)

prune235.0ms (3.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4443447
Fresh202
Picked011
Done066
Total44610456
Error
0b
Counts
456 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.0b
(*.f64 x 238732414637843/250000000000000)
▶0.7b
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
▶46.9b
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
✓0.2b
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
✓4.5b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓46.7b
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
▶46.7b
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓0.2b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
✓46.6b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Compiler

Compiled 105 to 73 computations (30.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
✓0.2b
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms
x
@inf
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms
x
@0
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
0.0ms
x
@inf
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))

rewrite69.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
540×pow1_binary64
523×add-sqr-sqrt_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112414
2146514
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))))

simplify198.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1208×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
535×fabs-mul_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
123168
248168
3106168
4299168
51247168
62402168
72568168
82818168
93105168
103484168
113991168
124587168
135293168
145766168
156083168
166357168
176529168
186619168
197296168
Stop Event
1×node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))

localize107.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
0.2b
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
✓0.5b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
✓21.4b
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series9.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)

rewrite90.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
683×add-log-exp_binary64
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
119123
2193123
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6450306886639899/50000000000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -6450306886639899/50000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 2)) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 2))) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

simplify192.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11584
23284
35684
411484
532684
6118084
7186984
8195684
9208984
10224784
11248684
12280884
13323184
14373384
15433584
16505784
17537884
18566484
19588684
20606484
21614484
22708484
Stop Event
1×node limit
Counts
83 → 72
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
0.1b
(*.f64 x -6450306886639899/50000000000000000)
✓0.5b
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
✓0.8b
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms
x
@0
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms
x
@-inf
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms
x
@inf
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
0.0ms
x
@-inf
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))

rewrite102.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
819×add-log-exp_binary64
819×log1p-expm1-u_binary64
819×expm1-log1p-u_binary64
803×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
118922
2226722
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1) (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)) (/.f64 x (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

simplify77.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
747×unswap-sqr_binary64
661×associate-/r*_binary64
601×distribute-neg-frac_binary64
496×fma-def_binary64
439×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052345
1129331
2360329
31242327
45660327
Stop Event
1×node limit
Counts
80 → 75
Calls
Call 1
Inputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (+.f64 (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))) (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))) (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
Outputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843)
(fma.f64 x (*.f64 8062883608299873750000000000/56993165798814994692847692649 x) 250000000000000/238732414637843)
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) 250000000000000/238732414637843))
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (+.f64 (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843) (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 8062883608299873750000000000/56993165798814994692847692649) (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6) 250000000000000/238732414637843))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6) 250000000000000/238732414637843)))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
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(+.f64 (+.f64 (/.f64 -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6)) (+.f64 (/.f64 -2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4)) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))) (/.f64 -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (pow.f64 x 8)))
(+.f64 (/.f64 -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6)) (+.f64 (/.f64 -2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4)) (+.f64 (/.f64 -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (pow.f64 x 8)) (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval101.0ms (1.5%)

Compiler

Compiled 2872 to 2111 computations (26.5% saved)

prune61.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2214225
Fresh000
Picked101
Done459
Total2269235
Error
0b
Counts
235 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.7b
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
46.7b
(/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
✓16.0b
(*.f64 x 238732414637843/250000000000000)
✓0.2b
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
16.2b
(/.f64 x 250000000000000/238732414637843)
✓46.6b
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
46.7b
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
46.7b
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2)))
Compiler

Compiled 70 to 49 computations (30% saved)

regimes82.0ms (1.2%)

Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(/.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 1 (/.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

34.0ms
x
29.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 331 to 217 computations (34.4% saved)

regimes9.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes16.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
Outputs
(/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 39 to 24 computations (38.5% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
7.357464671497419e-7
84.31664712562629
17.0ms
-92188411.42310919
-0.0032733772091323274
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 30 to 18 computations (40% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
7.357464671497419e-7
84.31664712562629
17.0ms
-92188411.42310919
-0.0032733772091323274
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Outputs
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch34.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
7.357464671497419e-7
84.31664712562629
17.0ms
-92188411.42310919
-0.0032733772091323274
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
Outputs
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
7.357464671497419e-7
84.31664712562629
20.0ms
-92188411.42310919
-0.0032733772091323274
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.4b remaining (-2.4%)

Threshold costs -0.4b (-2.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
Outputs
(*.f64 x 238732414637843/250000000000000)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
16.0b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×*-commutative_binary64
8×+-commutative_binary64
8×distribute-rgt-neg-in_binary64
8×sub-neg_binary64
7×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039184
162184
281184
399184
4112184
5116184
6117184
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 x (*.f64 x x)) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(if (<=.f64 x -6186659564569481/67108864) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 x 238732414637843/250000000000000) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(if (<=.f64 x -6186659564569481/67108864) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 238732414637843/250000000000000 x) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(/.f64 x 250000000000000/238732414637843)
Compiler

Compiled 136 to 91 computations (33.1% saved)

soundness0.0ms (0%)

end112.0ms (1.6%)

Compiler

Compiled 129 to 80 computations (38% saved)

Profiling

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