Details

Time bar (total: 1.6s)

analyze61.0ms (3.7%)

Algorithm
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample14.0ms (0.8%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))

rewrite33.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 33
Calls

1 calls:

5.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 358 to 101 computations (71.8% saved)

series38.0ms (2.3%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

31.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 423 to 299 computations (29.3% saved)

simplify76.0ms (4.6%)

Algorithm
egg-herbie
Rules
626×associate-/l*_binary64
423×associate-/r*_binary64
412×div-sub_binary64
376×associate-/l/_binary64
375×associate-*l/_binary64
Counts
54 → 24
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076776
1164746
2418710
31257704
44625704
55457704

prune12.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425
Error
0.0b
Counts
25 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
35.3b
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
28.5b
(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))
Compiler

Compiled 196 to 96 computations (51% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite49.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1149 to 233 computations (79.7% saved)

series69.0ms (4.2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

17.0ms
(cbrt.f64 x)
16.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
14.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)
Compiler

Compiled 518 to 322 computations (37.8% saved)

simplify104.0ms (6.3%)

Algorithm
egg-herbie
Rules
735×log-prod_binary64
577×distribute-rgt-in_binary64
538×distribute-lft-in_binary64
525×unswap-sqr_binary64
287×associate-*l*_binary64
Counts
85 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054624
194576
2292556
3763542
41759418
54280418
64543418
74810418

prune20.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh022
Picked011
Done011
Total63568
Error
0.0b
Counts
68 → 5
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
35.3b
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
28.5b
(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))
33.3b
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
Compiler

Compiled 542 to 212 computations (60.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))

rewrite73.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×add-sqr-sqrt_binary64
30×times-frac_binary64
27×*-un-lft-identity_binary64
26×cancel-sign-sub-inv_binary64
23×add-cube-cbrt_binary64
Counts
1 → 69
Calls

1 calls:

18.0ms
(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
Compiler

Compiled 1439 to 618 computations (57.1% saved)

series34.0ms (2%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

31.0ms
(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
Compiler

Compiled 271 to 202 computations (25.5% saved)

simplify97.0ms (5.9%)

Algorithm
egg-herbie
Rules
849×times-frac_binary64
273×exp-prod_binary64
264×distribute-rgt-in_binary64
204×distribute-lft-in_binary64
185×distribute-rgt-neg-out_binary64
Counts
81 → 66
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571509
14901394
217261289
343301263
449931263

prune24.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done022
Total66571
Error
0.0b
Counts
71 → 5
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
35.3b
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
28.5b
(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))
33.3b
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
Compiler

Compiled 601 to 289 computations (51.9% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))
0.3b
(/.f64 (cbrt.f64 x) (+.f64 x y))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite75.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
28×add-cube-cbrt_binary64
27×cbrt-prod_binary64
24×times-frac_binary64
Counts
4 → 109
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))
6.0ms
(/.f64 (cbrt.f64 x) (+.f64 x y))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1824 to 387 computations (78.8% saved)

series82.0ms (5%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

32.0ms
(/.f64 (cbrt.f64 x) (+.f64 x y))
15.0ms
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))
14.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)
Compiler

Compiled 862 to 627 computations (27.3% saved)

simplify141.0ms (8.6%)

Algorithm
egg-herbie
Rules
601×div-sub_binary64
459×unswap-sqr_binary64
341×*-commutative_binary64
292×associate-/l*_binary64
251×distribute-rgt-in_binary64
Counts
127 → 92
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01461541
12921428
28411413
319971350
435411278
541771268
651401268

prune30.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597
Error
0.0b
Counts
97 → 5
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 x y))
35.3b
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
28.5b
(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))
33.3b
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
Compiler

Compiled 917 to 320 computations (65.1% saved)

regimes110.0ms (6.7%)

Accuracy

Total 0.0b remaining (61.9%)

Threshold costs 0.0b (61.9%)

Compiler

Compiled 1304 to 718 computations (44.9% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample463.0ms (28.1%)

Algorithm
intervals
Results
158.0ms8000×body128valid
Compiler

Compiled 78 to 47 computations (39.7% saved)

Profiling

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