Details

Time bar (total: 3.2s)

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
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample41.0ms (1.3%)

Algorithm
1×intervals
Results
6.0ms60×body512valid
5.0ms153×body128valid
2.0ms15×body1024valid
2.0ms28×body256valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43716
55516
68016
79716
811416
912416
1012816
1113016
1211616

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(/.f64 1 (+.f64 x 1))
✓3.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series9.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
3.0ms
(/.f64 1 (-.f64 x 1))
3.0ms
(/.f64 1 (+.f64 x 1))

rewrite170.0ms (5.3%)

Algorithm
1×rewrite-expression-head
Rules
870×*-un-lft-identity_binary64
804×times-frac_binary64
733×add-sqr-sqrt_binary64
486×prod-diff_binary64
465×add-cube-cbrt_binary64
Counts
3 → 661
Calls

3 calls:

40.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
5.0ms
(/.f64 1 (+.f64 x 1))
4.0ms
(/.f64 1 (-.f64 x 1))

simplify592.0ms (18.5%)

Algorithm
1×egg-herbie
Rules
947×fma-neg_binary64
335×times-frac_binary64
236×distribute-rgt-in_binary64
231×div-sub_binary64
202×associate-/l*_binary64
Counts
697 → 531
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027227782
163218403
2177213759
3394512706
4497212706
5498912706
6490912706

prune536.0ms (16.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New5301531
Fresh000
Picked011
Done000
Total5302532
Error
0.4b
Counts
532 → 2
Alt Table
StatusErrorProgram
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶32.9b
(/.f64 -2 (pow.f64 x 2))
Compiler

Compiled 23045 to 19138 computations (17% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 -2 (pow.f64 x 2))

series3.0ms (0.1%)

Counts
1 → 0
Calls

1 calls:

3.0ms
(/.f64 -2 (pow.f64 x 2))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
24×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
12×unpow-prod-down_binary64
Counts
1 → 51
Calls

1 calls:

4.0ms
(/.f64 -2 (pow.f64 x 2))

simplify94.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
852×fma-neg_binary64
569×associate-/l*_binary64
550×associate-/l/_binary64
324×unswap-sqr_binary64
228×log-prod_binary64
Counts
51 → 77
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090782
1139600
2290600
3873594
42777594
54092594
64941594
74957594
84772594

prune55.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New71677
Fresh000
Picked011
Done011
Total71879
Error
0b
Counts
79 → 8
Alt Table
StatusErrorProgram
42.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 2))))
✓32.9b
(/.f64 -2 (pow.f64 x 2))
32.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (*.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 x) 2)))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
33.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -2 (pow.f64 x 2))) (cbrt.f64 (/.f64 -2 (pow.f64 x 2)))) (cbrt.f64 (/.f64 -2 (pow.f64 x 2))))
33.1b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
▶32.5b
(/.f64 (/.f64 -2 x) x)
32.7b
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
Compiler

Compiled 1132 to 853 computations (24.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 x) x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 (/.f64 -2 x) x)

rewrite11.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
1 → 72
Calls

1 calls:

5.0ms
(/.f64 (/.f64 -2 x) x)

simplify118.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
508×associate-/r/_binary64
476×*-commutative_binary64
393×associate-*r/_binary64
346×distribute-rgt-in_binary64
345×fma-neg_binary64
Counts
84 → 113
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01421388
12931287
25411206
312051182
421811177
533801127
648031097
749771097
848481097

prune70.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh145
Picked011
Done022
Total1138121
Error
0b
Counts
121 → 8
Alt Table
StatusErrorProgram
32.8b
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 x (/.f64 -2 (cbrt.f64 x))))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
42.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 2))))
✓32.9b
(/.f64 -2 (pow.f64 x 2))
32.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (*.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 x) 2)))
33.1b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
✓32.5b
(/.f64 (/.f64 -2 x) x)
▶32.7b
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
Compiler

Compiled 1695 to 1080 computations (36.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
✓0.5b
(cbrt.f64 x)
✓0.9b
(/.f64 -2 (*.f64 x (cbrt.f64 x)))

series178.0ms (5.6%)

Counts
4 → 48
Calls

4 calls:

65.0ms
(/.f64 -2 (*.f64 x (cbrt.f64 x)))
46.0ms
(pow.f64 (cbrt.f64 x) 2)
35.0ms
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
32.0ms
(cbrt.f64 x)

rewrite32.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
116×times-frac_binary64
58×*-un-lft-identity_binary64
58×add-sqr-sqrt_binary64
58×add-cube-cbrt_binary64
54×unpow-prod-down_binary64
Counts
4 → 180
Calls

4 calls:

10.0ms
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
4.0ms
(/.f64 -2 (*.f64 x (cbrt.f64 x)))
2.0ms
(pow.f64 (cbrt.f64 x) 2)
1.0ms
(cbrt.f64 x)

simplify153.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
705×fma-def_binary64
535×associate-/l*_binary64
425×fma-neg_binary64
319×associate-*l/_binary64
308×unswap-sqr_binary64
Counts
228 → 276
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02554448
14753230
213443143
332493101
442863101
548413101

prune181.0ms (5.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2950295
Fresh044
Picked011
Done033
Total2958303
Error
0b
Counts
303 → 8
Alt Table
StatusErrorProgram
32.8b
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 x (/.f64 -2 (cbrt.f64 x))))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
42.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 2))))
✓32.9b
(/.f64 -2 (pow.f64 x 2))
32.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (*.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 x) 2)))
33.1b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
✓32.5b
(/.f64 (/.f64 -2 x) x)
✓32.7b
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
Compiler

Compiled 5462 to 3251 computations (40.5% saved)

regimes106.0ms (3.3%)

Accuracy

Total 0.3b remaining (68.1%)

Threshold costs 0.3b (68.1%)

Counts
42 → 2
Compiler

Compiled 1062 to 822 computations (22.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
3×sub-neg_binary64
1×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
12244
22744
32944
43044
52844

end1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

sample797.0ms (24.9%)

Algorithm
1×intervals
Results
210.0ms1975×body512valid
169.0ms4556×body128valid
71.0ms1063×body256valid
61.0ms406×body1024valid
Compiler

Compiled 151 to 118 computations (21.9% saved)

Profiling

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