Details

Time bar (total: 3.7s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%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)

sample2.8s (76.7%)

Results
1.8s4086×body1024valid
543.0ms2119×body512valid
220.0ms1622×body256valid
218.0ms429×body2048valid
1.0ms5×body256invalid

preprocess66.0ms (1.8%)

Algorithm
2×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
1×saturated
1×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)

simplify49.0ms (1.3%)

Algorithm
1×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
1×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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
57.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶57.1b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.8b
(-.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)))
0.0ms
x
@-inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite35.0ms (0.9%)

Algorithm
1×egg-rewrite-iter-limit
1×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
1×iter limit
1×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))))))))

simplify65.0ms (1.8%)

Algorithm
1×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
1×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)))

eval6.0ms (0.2%)

Compiler

Compiled 286 to 189 computations (33.9% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New18422
Fresh000
Picked011
Done000
Total18523
Error
0b
Counts
23 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.1b
(/.f64 (+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) 2)
▶1.8b
(/.f64 (*.f64 2 x) 2)
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓57.1b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶1.0b
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
Compiler

Compiled 52 to 43 computations (17.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)
Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (1.5%)

Algorithm
1×egg-rewrite-iter-limit
1×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
1×iter limit
1×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)))))))

simplify82.0ms (2.2%)

Algorithm
1×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
1×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)))

localize17.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 36 to 28 computations (22.2% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 1/3 (pow.f64 x 3))

rewrite49.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213227
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))))))

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 5)
✓0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
✓0.1b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 69 to 55 computations (20.3% saved)

series6.0ms (0.2%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 x 5)
1.0ms
x
@inf
(pow.f64 x 5)
1.0ms
x
@0
(*.f64 1/60 (pow.f64 x 5))
1.0ms
x
@inf
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
1.0ms
x
@inf
(*.f64 1/60 (pow.f64 x 5))

rewrite76.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
363×exp-prod_binary64
316×prod-exp_binary64
309×fma-def_binary64
284×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
124725
2287025
Stop Event
1×node limit
Counts
3 → 128
Calls
Call 1
Inputs
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 x 5)
Outputs
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(*.f64 x (cbrt.f64 1/3)) 2) (*.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) (*.f64 x x) (*.f64 1/60 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/2) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 10) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 15))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 15)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 5/2) (*.f64 5/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 5/2 (log.f64 x)) (*.f64 (log.f64 x) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 5/2) (*.f64 (log.f64 x) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (*.f64 3 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 3 (log.f64 x)) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) (*.f64 2 (log.f64 x))))))))

simplify137.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
678×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39821
421321
564321
693221
7156821
8167621
9183821
10205121
11238121
12283721
13343621
14419021
15512221
16563021
17612021
18651621
19683821
20699821
Stop Event
1×node limit
Counts
131 → 130
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/60 (pow.f64 x 5))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/60 (pow.f64 x 5))

eval81.0ms (2.2%)

Compiler

Compiled 3520 to 2887 computations (18% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done044
Total1715176
Error
0b
Counts
176 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.1b
(/.f64 (+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) 2)
✓1.8b
(/.f64 (*.f64 2 x) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓57.1b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓1.0b
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes12.0ms (0.3%)

Accuracy

Total -58.6b remaining (-374747.7%)

Threshold costs -58.6b (-374747.7%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 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 66 to 52 computations (21.2% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11016
Stop Event
1×done
1×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 (0.5%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

Profiling

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