Details

Time bar (total: 3.3s)

analyze1.4s (41.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
0%99.9%0.1%10
0%99.9%0.1%11
0%99.9%0.1%12
0%99.9%0.1%13
0%99.9%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (32.7%)

Results
976.0ms8256×body128valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify71.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
457×times-frac_binary64
316×div-sub_binary64
141×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
37112
415212
520712
659710
793710
8131410
9133710
10134210
11136910
12137910
13137910
14127410

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

series9.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
6×distribute-lft-out_binary64
Counts
1 → 47
Calls

1 calls:

7.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify77.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
360×cancel-sign-sub-inv_binary64
305×neg-mul-1_binary64
284×div-sub_binary64
252×fma-def_binary64
243×fma-neg_binary64
Counts
71 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081291
12741214
27951163
325941145
444361145
551071145

prune34.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh000
Picked011
Done000
Total55358
Error
0b
Counts
58 → 3
Alt Table
StatusErrorProgram
32.9b
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶30.3b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 920 to 315 computations (65.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (/.f64 n f) -2 -1)

series6.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(fma.f64 (/.f64 n f) -2 -1)

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:

0.0ms
(fma.f64 (/.f64 n f) -2 -1)

simplify55.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
891×fma-def_binary64
579×unsub-neg_binary64
501×div-sub_binary64
441×associate-*l/_binary64
371×associate-*r/_binary64
Counts
34 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023367
140278
283278
3291278
41042278
53601278
64973278

prune12.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done011
Total22325
Error
0b
Counts
25 → 3
Alt Table
StatusErrorProgram
▶32.9b
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓30.3b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 279 to 182 computations (34.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
✓0.1b
(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
✓0.2b
(pow.f64 (/.f64 f n) 3)
✓11.3b
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))

series89.0ms (2.7%)

Counts
4 → 96
Calls

4 calls:

31.0ms
(*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
28.0ms
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
16.0ms
(pow.f64 (/.f64 f n) 3)
14.0ms
(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))

rewrite60.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
46×*-un-lft-identity_binary64
46×times-frac_binary64
44×add-cube-cbrt_binary64
32×fma-def_binary64
Counts
4 → 168
Calls

4 calls:

19.0ms
(*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
17.0ms
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
9.0ms
(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
3.0ms
(pow.f64 (/.f64 f n) 3)

simplify130.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
406×fma-neg_binary64
357×associate-*r*_binary64
337×associate-*l*_binary64
267×log-prod_binary64
225×cancel-sign-sub-inv_binary64
Counts
264 → 230
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02264496
16883922
230753885
345303885
449403885

prune147.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2300230
Fresh000
Picked011
Done022
Total2303233
Error
0b
Counts
233 → 3
Alt Table
StatusErrorProgram
✓32.9b
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓30.3b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 6639 to 3538 computations (46.7% saved)

regimes64.0ms (1.9%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Counts
25 → 1
Compiler

Compiled 986 to 632 computations (35.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
5×sub-neg_binary64
4×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11812
22912
33712
44012
54012

end54.0ms (1.6%)

Compiler

Compiled 58 to 36 computations (37.9% saved)

Profiling

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