Details

Time bar (total: 5.1s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample3.0s (59.2%)

Results
2.0s4087×body1024valid
473.0ms2067×body512valid
234.0ms389×body2048valid
217.0ms1713×body256valid
1.0msbody256invalid

preprocess85.0ms (1.7%)

Algorithm
egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
523×cancel-sign-sub-inv_binary64
509×associate-/l*_binary64
425×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526013
671513
7215513
8500312
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify61.0ms (1.2%)

Algorithm
egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
523×cancel-sign-sub-inv_binary64
509×associate-/l*_binary64
425×times-frac_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526013
671513
7215513
8500312
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
57.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
57.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.9b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
@-inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
@inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite52.0ms (1%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
70×add-sqr-sqrt_binary64
67×add-log-exp_binary64
66×*-un-lft-identity_binary64
66×pow1_binary64
65×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11306
221886
066
Stop Event
iter limit
unsound
Counts
1 → 13
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))))

simplify134.0ms (2.6%)

Algorithm
egg-herbie
Rules
700×fma-def_binary64
676×unswap-sqr_binary64
322×associate-*l*_binary64
309×associate-*l/_binary64
268×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
16898
215198
339198
473998
5165198
6255598
7414898
8709898
Stop Event
node limit
Counts
21 → 22
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval12.0ms (0.2%)

Compiler

Compiled 286 to 189 computations (33.9% saved)

prune8.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New19322
Fresh000
Picked011
Done000
Total19423
Error
0b
Counts
23 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
1.5b
(/.f64 (*.f64 2 x) 2)
57.8b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
57.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 56 to 35 computations (37.5% saved)

localize9.0ms (0.2%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 x)
Compiler

Compiled 15 to 9 computations (40% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(sinh.f64 x)
2.0ms
x
@-inf
(sinh.f64 x)
1.0ms
x
@0
(sinh.f64 x)

rewrite86.0ms (1.7%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
318×pow1_binary64
311×add-sqr-sqrt_binary64
302×*-un-lft-identity_binary64
297×add-log-exp_binary64
296×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1633
27853
033
Stop Event
iter limit
node limit
Counts
1 → 10
Calls
Call 1
Inputs
(sinh.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x)))))))

simplify88.0ms (1.7%)

Algorithm
egg-herbie
Rules
878×fma-def_binary64
626×distribute-rgt-neg-in_binary64
624×unswap-sqr_binary64
560×distribute-lft-neg-in_binary64
308×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025150
167150
2151142
3370142
4684142
51506142
62337142
73591142
84578142
97248142
Stop Event
node limit
Counts
22 → 19
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

localize61.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b
(pow.f64 (exp.f64 (neg.f64 x)) 3)
0.0b
(pow.f64 (exp.f64 x) 3)
4.8b
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
Compiler

Compiled 146 to 34 computations (76.7% saved)

series18.0ms (0.4%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
2.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
2.0ms
x
@0
(pow.f64 (exp.f64 (neg.f64 x)) 3)
2.0ms
x
@inf
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
2.0ms
x
@0
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))

rewrite325.0ms (6.4%)

Algorithm
egg-rewrite-iter-limit
egg-rewrite
batch-egg-rewrite
Rules
437×pow1_binary64
429×add-sqr-sqrt_binary64
416×*-un-lft-identity_binary64
411×add-log-exp_binary64
410×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
136164
2664364
0916
120516
2314216
0916
056
11046
210776
068
11286
214356
01543
136143
2664343
01543
Stop Event
iter limit
unsound
node limit
node limit
iter limit
unsound
unsound
Counts
4 → 77
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(pow.f64 (exp.f64 x) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) 3) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3/2) (pow.f64 (pow.f64 (exp.f64 x) 3/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) 3/2) (pow.f64 (sqrt.f64 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 2) 3/2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 3/2) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 x)) 1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 2)) 1/3) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3/2)) 1/3) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 3/2) 2) (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))))))

simplify83.0ms (1.6%)

Algorithm
egg-herbie
Rules
987×fma-def_binary64
469×associate-*l*_binary64
440×associate-*r*_binary64
369×cancel-sign-sub-inv_binary64
348×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079645
1235583
2568563
31620522
45890522
Stop Event
node limit
Counts
109 → 96
Calls
Call 1
Inputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (*.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
Outputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (*.f64 6 x))
(*.f64 x (fma.f64 x (*.f64 x 9) 6))
(*.f64 x (fma.f64 9 (*.f64 x x) 6))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 x (fma.f64 9 (*.f64 x x) 6) (*.f64 81/20 (pow.f64 x 5)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7)))))
(fma.f64 6 x (fma.f64 81/20 (pow.f64 x 5) (fma.f64 9 (pow.f64 x 3) (*.f64 243/280 (pow.f64 x 7)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 3 x 1) (*.f64 9/2 (*.f64 x x)))
(fma.f64 x 3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x 3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (fma.f64 x 9/2 3) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (*.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 3 x 1) (*.f64 9/2 (+.f64 (pow.f64 x 3) (*.f64 x x))))
(fma.f64 x 3 (fma.f64 9/2 (+.f64 (pow.f64 x 3) (*.f64 x x)) 1))
(fma.f64 x 3 (fma.f64 9/2 (*.f64 x (fma.f64 x x x)) 1))
(fma.f64 x (fma.f64 x 9/2 3) (fma.f64 (pow.f64 x 3) 9/2 1))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 9/2 (*.f64 x x)))
(fma.f64 x -3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x (*.f64 x 9/2) (fma.f64 x -3 1))
(fma.f64 x (fma.f64 x 9/2 -3) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -9/2 (pow.f64 x 3) (*.f64 9/2 (*.f64 x x))))
(+.f64 (fma.f64 x -3 1) (fma.f64 (pow.f64 x 3) -9/2 (*.f64 x (*.f64 x 9/2))))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -9/2 1)))
(fma.f64 x -3 (fma.f64 (*.f64 x x) (fma.f64 x -9/2 9/2) 1))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 x (fma.f64 (*.f64 x x) 1/3 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 (pow.f64 x 5) 1/60 (fma.f64 x 2 (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/60))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 5) 1/60 (fma.f64 (pow.f64 x 7) 1/2520 (*.f64 (pow.f64 x 3) 1/3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (neg.f64 x)))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))

eval51.0ms (1%)

Compiler

Compiled 3777 to 1413 computations (62.6% saved)

prune24.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh000
Picked101
Done033
Total1154119
Error
0b
Counts
119 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2))) 2)
1.5b
(/.f64 (*.f64 2 x) 2)
0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
57.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 46 to 33 computations (28.3% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
0.0b
(pow.f64 (exp.f64 x) 3)
0.1b
(pow.f64 (exp.f64 x) -3)
4.8b
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
Compiler

Compiled 91 to 49 computations (46.2% saved)

series8.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@-inf
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
1.0ms
x
@inf
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
1.0ms
x
@0
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))

rewrite100.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
664×log-prod_binary64
455×fma-def_binary64
259×fma-neg_binary64
254×pow1/3_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01453
131853
2424252
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(pow.f64 (exp.f64 x) -3)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2)))
Outputs
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x) 2)) 3) (exp.f64 (*.f64 -6 x)))) (fma.f64 (exp.f64 (*.f64 x -2)) (-.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 2)) (neg.f64 (/.f64 (exp.f64 (*.f64 x -3)) (pow.f64 (hypot.f64 (exp.f64 (neg.f64 x)) (hypot.f64 1 (exp.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (-.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 2) (pow.f64 (exp.f64 x) -4))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 (*.f64 x -2)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x -3)) (pow.f64 (hypot.f64 (exp.f64 (neg.f64 x)) (hypot.f64 1 (exp.f64 x))) 2))))))))

simplify97.0ms (1.9%)

Algorithm
egg-herbie
Rules
671×fma-def_binary64
428×associate-/r*_binary64
392×*-commutative_binary64
348×distribute-neg-frac_binary64
323×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
062677
1164675
2395665
31094619
42881571
55725571
Stop Event
node limit
Counts
215 → 207
Calls
Call 1
Inputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
Outputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (*.f64 6 x))
(*.f64 x (fma.f64 9 (*.f64 x x) 6))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 x (fma.f64 9 (*.f64 x x) 6) (*.f64 81/20 (pow.f64 x 5)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7)))))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 6 x))))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 243/280 (pow.f64 x 7) (*.f64 x (fma.f64 9 (*.f64 x x) 6))))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3)))
(+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(fma.f64 -3 x (+.f64 1 (*.f64 9/2 (*.f64 x x))))
(fma.f64 x -3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (fma.f64 x 9/2 -3) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -9/2 (pow.f64 x 3) (*.f64 9/2 (*.f64 x x))))
(+.f64 (fma.f64 x -3 1) (fma.f64 (pow.f64 x 3) -9/2 (*.f64 x (*.f64 x 9/2))))
(fma.f64 x -3 (fma.f64 9/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -9/2 1)))
(fma.f64 x -3 (fma.f64 (*.f64 x x) (fma.f64 x -9/2 9/2) 1))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(exp.f64 (neg.f64 (*.f64 3 x)))
(exp.f64 (*.f64 x -3))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 (pow.f64 x 5) 1/60))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/60))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (neg.f64 (*.f64 3 x)))) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))

eval190.0ms (3.8%)

Compiler

Compiled 7852 to 5099 computations (35.1% saved)

prune33.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2441245
Fresh000
Picked101
Done033
Total2454249
Error
0b
Counts
249 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
57.8b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)))) 2)
1.5b
(/.f64 (*.f64 2 x) 2)
0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
57.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 46 to 36 computations (21.7% saved)

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
0.0b
(exp.f64 (*.f64 x -3))
0.0b
(pow.f64 (exp.f64 x) 3)
4.8b
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
Compiler

Compiled 101 to 66 computations (34.7% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@0
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
0.0ms
x
@inf
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))

rewrite111.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
765×log-prod_binary64
621×fma-def_binary64
345×fma-neg_binary64
290×expm1-udef_binary64
290×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753
138353
2508052
Stop Event
node limit
Counts
3 → 186
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(exp.f64 (*.f64 x -3))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
Outputs
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simplify72.0ms (1.4%)

Algorithm
egg-herbie
Rules
675×fma-def_binary64
648×associate-/l/_binary64
493×associate-/l*_binary64
402×associate-/r/_binary64
367×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062605
1166603
2391593
31078571
42724571
54569571
Stop Event
node limit
Counts
222 → 214
Calls
Call 1
Inputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 -3 x))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
Outputs
(*.f64 6 x)
(+.f64 (*.f64 6 x) (*.f64 9 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (*.f64 6 x))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 9) 6) (*.f64 81/20 (pow.f64 x 5)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 9 (pow.f64 x 3)) (+.f64 (*.f64 243/280 (pow.f64 x 7)) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (*.f64 x 9) 6) (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7))))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 6 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x)))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(fma.f64 -3 x (+.f64 1 (*.f64 9/2 (*.f64 x x))))
(fma.f64 x -3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (fma.f64 x 9/2 -3) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -9/2 (pow.f64 x 3) (*.f64 9/2 (*.f64 x x))))
(+.f64 (fma.f64 x -3 1) (fma.f64 (pow.f64 x 3) -9/2 (*.f64 x (*.f64 x 9/2))))
(fma.f64 x -3 (fma.f64 (pow.f64 x 3) -9/2 (fma.f64 x (*.f64 x 9/2) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x -9/2 9/2) (fma.f64 x -3 1))
(fma.f64 x -3 (fma.f64 (*.f64 x x) (fma.f64 x -9/2 9/2) 1))
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(exp.f64 (*.f64 -3 x))
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 x) -3)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 (pow.f64 x 5) 1/60))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x 2 (*.f64 (pow.f64 x 5) 1/60)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/60))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 5) 1/60 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520)))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 (pow.f64 x 7) 1/2520 (*.f64 (pow.f64 x 5) 1/60)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 -3 x))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))

eval170.0ms (3.4%)

Compiler

Compiled 7998 to 5144 computations (35.7% saved)

prune34.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2520252
Fresh000
Picked011
Done033
Total2524256
Error
0b
Counts
256 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
57.8b
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)))) 2)
1.5b
(/.f64 (*.f64 2 x) 2)
0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
57.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 46 to 36 computations (21.7% saved)

regimes12.0ms (0.2%)

Accuracy

Total -59.2b remaining (-505370.7%)

Threshold costs -59.2b (-505370.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (exp.f64 x) -2))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
0.0b1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 117 to 71 computations (39.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11016
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (*.f64 2 x) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (*.f64 2 x) 2)
Compiler

Compiled 13 to 11 computations (15.4% saved)

soundness0.0ms (0%)

end19.0ms (0.4%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

Profiling

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