Details

Time bar (total: 1.2s)

analyze21.0ms (1.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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 10 computations (23.1% saved)

sample16.0ms (1.4%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify11.0ms (0.9%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 36 to 27 computations (25% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 x (+.f64 x 1))

rewrite97.0ms (8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
67×*-un-lft-identity_binary64
41×times-frac_binary64
40×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
12×distribute-lft-out_binary64
Counts
3 → 100
Calls

3 calls:

24.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
4.0ms
(/.f64 x (+.f64 x 1))
Compiler

Compiled 1550 to 1162 computations (25% saved)

series51.0ms (4.3%)

Error
0b
Counts
3 → 34
Calls

3 calls:

14.0ms
(/.f64 x (+.f64 x 1))
13.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
9.0ms
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 846 to 679 computations (19.7% saved)

simplify137.0ms (11.3%)

Algorithm
egg-herbie
Rules
431×distribute-rgt-in_binary64
291×distribute-lft-in_binary64
218×distribute-rgt-out_binary64
215×times-frac_binary64
203×sub-neg_binary64
Counts
134 → 98
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01631843
13811790
29291779
326051767
446681767
549631767
649241767

prune35.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked011
Done000
Total96399
Error
0b
Counts
99 → 3
Alt Table
StatusErrorProgram
31.0b
(+.f64 1 (/.f64 2 (*.f64 x x)))
33.0b
(+.f64 -1 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 978 to 704 computations (28% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.6b
(/.f64 2 (*.f64 x x))

rewrite13.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 21
Calls

1 calls:

3.0ms
(/.f64 2 (*.f64 x x))
Compiler

Compiled 248 to 166 computations (33.1% saved)

series6.0ms (0.5%)

Error
0b
Counts
1 → 3
Calls

1 calls:

5.0ms
(/.f64 2 (*.f64 x x))
Compiler

Compiled 56 to 49 computations (12.5% saved)

simplify88.0ms (7.3%)

Algorithm
egg-herbie
Rules
506×unsub-neg_binary64
375×distribute-neg-in_binary64
297×sub-neg_binary64
293×times-frac_binary64
269×associate-/l/_binary64
Counts
24 → 13
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046266
185221
2164212
3417212
41550212
52095212
63417212
73977212
84676212
94683212

prune5.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316
Error
0b
Counts
16 → 3
Alt Table
StatusErrorProgram
31.0b
(+.f64 1 (/.f64 2 (*.f64 x x)))
33.0b
(+.f64 -1 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 111 to 85 computations (23.4% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4)))
0.0b
(+.f64 (*.f64 x x) (pow.f64 x 4))

rewrite31.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4)))
5.0ms
(+.f64 (*.f64 x x) (pow.f64 x 4))
Compiler

Compiled 635 to 405 computations (36.2% saved)

series22.0ms (1.8%)

Error
0b
Counts
2 → 12
Calls

2 calls:

11.0ms
(*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4)))
9.0ms
(+.f64 (*.f64 x x) (pow.f64 x 4))
Compiler

Compiled 250 to 214 computations (14.4% saved)

simplify55.0ms (4.5%)

Algorithm
egg-herbie
Rules
599×associate-*l*_binary64
511×associate-*r*_binary64
389×unswap-sqr_binary64
328×distribute-rgt-neg-out_binary64
313×cancel-sign-sub-inv_binary64
Counts
45 → 30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065696
1182608
2567602
32547602
44925602

prune14.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done022
Total30333
Error
0b
Counts
33 → 3
Alt Table
StatusErrorProgram
31.0b
(+.f64 1 (/.f64 2 (*.f64 x x)))
33.0b
(+.f64 -1 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 393 to 272 computations (30.8% saved)

regimes48.0ms (3.9%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Compiler

Compiled 748 to 578 computations (22.7% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11720
21820
31620

end1.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample534.0ms (44.2%)

Algorithm
intervals
Results
310.0ms8000×body128valid
Compiler

Compiled 60 to 46 computations (23.3% saved)

Profiling

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