Details

Time bar (total: 3.5s)

analyze6.0ms (0.2%)

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
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.9s (83.7%)

Results
1.8s4104×body1024valid
564.0ms2081×body512valid
195.0ms402×body2048valid
178.0ms990×body256valid
72.0ms679×body128valid
0.0ms1×body128invalid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify61.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
618×fma-neg_binary64
579×fma-def_binary64
510×associate-/l*_binary64
467×div-sub_binary64
425×times-frac_binary64
Counts
1 → 2
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23313
35713
411213
522413
651413
7130313
8304712
9446912
10485912

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
57.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶57.4b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series3.0ms (0.1%)

Counts
1 → 8
Calls

1 calls:

3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite8.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
9×prod-diff_binary64
9×add-cube-cbrt_binary64
3×cancel-sign-sub-inv_binary64
Counts
1 → 31
Calls

1 calls:

4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify77.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
608×fma-neg_binary64
326×unsub-neg_binary64
325×distribute-rgt-in_binary64
287×associate-/r*_binary64
265×associate-*l*_binary64
Counts
39 → 49
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086629
1175535
2491470
31944470
43994468
54786468
64810468

prune29.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New47249
Fresh000
Picked101
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
0.9b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) 2)
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 984 to 381 computations (61.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)

series9.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

9.0ms
(sinh.f64 x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

1.0ms
(sinh.f64 x)

simplify58.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
738×div-sub_binary64
465×times-frac_binary64
453×associate-*l*_binary64
349×fma-def_binary64
331×associate-*r*_binary64
Counts
22 → 20
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037220
179213
2179205
3396205
4843205
52533205
64634205
75567205

prune15.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done000
Total20222
Error
0b
Counts
22 → 2
Alt Table
StatusErrorProgram
▶0.9b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 284 to 214 computations (24.6% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
✓0.0b
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
✓0.1b
(*.f64 1/3 (pow.f64 x 3))

series11.0ms (0.3%)

Counts
3 → 24
Calls

3 calls:

4.0ms
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
4.0ms
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
3.0ms
(*.f64 1/3 (pow.f64 x 3))

rewrite11.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
12×associate-*r*_binary64
8×add-exp-log_binary64
7×*-un-lft-identity_binary64
7×add-cube-cbrt_binary64
Counts
3 → 53
Calls

3 calls:

5.0ms
(*.f64 1/3 (pow.f64 x 3))
0.0ms
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
0.0ms
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))

simplify59.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
702×associate-+l+_binary64
576×associate-*l*_binary64
541×associate-*r*_binary64
232×distribute-lft-in_binary64
232×distribute-rgt-in_binary64
Counts
77 → 80
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981289
11771161
25091148
327891148
450951148

prune73.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done011
Total80282
Error
0b
Counts
82 → 2
Alt Table
StatusErrorProgram
✓0.9b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) 2)
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 1995 to 1599 computations (19.8% saved)

regimes72.0ms (2.1%)

Accuracy

Total 0.0b remaining (51.9%)

Threshold costs 0.0b (51.9%)

Counts
26 → 1
Compiler

Compiled 1591 to 967 computations (39.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end51.0ms (1.4%)

Compiler

Compiled 42 to 35 computations (16.7% saved)

Profiling

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