Details

Time bar (total: 3.4s)

analyze110.0ms (3.3%)

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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample16.0ms (0.5%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×associate-/r*_binary64
1×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
31210

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶3.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 x (*.f64 y y)) 3)
✓9.1b
(/.f64 x (*.f64 y y))

series44.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

27.0ms
(/.f64 x (*.f64 y y))
17.0ms
(-.f64 (/.f64 x (*.f64 y y)) 3)

rewrite13.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
21×prod-diff_binary64
20×add-cube-cbrt_binary64
16×times-frac_binary64
Counts
2 → 70
Calls

2 calls:

6.0ms
(-.f64 (/.f64 x (*.f64 y y)) 3)
3.0ms
(/.f64 x (*.f64 y y))

simplify120.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
552×associate-/l/_binary64
415×fma-neg_binary64
309×fma-def_binary64
242×associate-/r/_binary64
230×unswap-sqr_binary64
Counts
118 → 98
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01171119
12071088
24151087
313321083
428641079
543601071
649791071
749931071
848441071

prune74.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh000
Picked101
Done000
Total94599
Error
0.0b
Counts
99 → 5
Alt Table
StatusErrorProgram
3.9b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x))) 3)
0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
4.4b
(+.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
3.8b
(fma.f64 x (/.f64 1 (*.f64 y y)) -3)
▶0.1b
(fma.f64 (/.f64 1 y) (/.f64 x y) -3)
Compiler

Compiled 1719 to 905 computations (47.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 1 y) (/.f64 x y) -3)

series9.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(fma.f64 (/.f64 1 y) (/.f64 x y) -3)

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 1 y) (/.f64 x y) -3)

simplify65.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
728×fma-def_binary64
439×fma-neg_binary64
417×associate-/r*_binary64
362×distribute-rgt-in_binary64
356×distribute-lft-in_binary64
Counts
34 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023367
138334
266334
3207334
4950334
54482334
64989334
75311334

prune18.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23023
Fresh044
Picked011
Done000
Total23528
Error
0.0b
Counts
28 → 5
Alt Table
StatusErrorProgram
3.9b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x))) 3)
▶0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
4.4b
(+.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
3.8b
(fma.f64 x (/.f64 1 (*.f64 y y)) -3)
✓0.1b
(fma.f64 (/.f64 1 y) (/.f64 x y) -3)
Compiler

Compiled 379 to 218 computations (42.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
✓0.2b
(/.f64 y (/.f64 x y))
✓0.2b
(/.f64 1 (/.f64 y (/.f64 x y)))

series54.0ms (1.6%)

Counts
3 → 72
Calls

3 calls:

27.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
16.0ms
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
11.0ms
(/.f64 y (/.f64 x y))

rewrite216.0ms (6.4%)

Algorithm
1×rewrite-expression-head
Rules
1803×times-frac_binary64
991×add-sqr-sqrt_binary64
974×*-un-lft-identity_binary64
968×add-cube-cbrt_binary64
411×prod-diff_binary64
Counts
3 → 851
Calls

3 calls:

44.0ms
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
10.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms
(/.f64 y (/.f64 x y))

simplify655.0ms (19.5%)

Algorithm
1×egg-herbie
Rules
463×*-commutative_binary64
461×fma-def_binary64
427×fma-neg_binary64
297×associate-/r/_binary64
198×associate-*r/_binary64
Counts
923 → 1140
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042616500
170114675
2199513908
3272513532
4415713448
5490713448
6494913448

prune916.0ms (27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New113731140
Fresh123
Picked011
Done101
Total113961145
Error
0b
Counts
1145 → 6
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y) -3)
✓0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
0.1b
(-.f64 (/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y))) 3)
3.8b
(fma.f64 x (/.f64 1 (*.f64 y y)) -3)
25.7b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) 3)
4.4b
(+.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
Compiler

Compiled 32311 to 18146 computations (43.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y) -3)
✓0.7b
(/.f64 1 (/.f64 y x))

series15.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(fma.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y) -3)
6.0ms
(/.f64 1 (/.f64 y x))

rewrite11.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64
44×*-un-lft-identity_binary64
44×add-sqr-sqrt_binary64
44×add-cube-cbrt_binary64
13×associate-/r*_binary64
Counts
2 → 88
Calls

2 calls:

4.0ms
(/.f64 1 (/.f64 y x))
0.0ms
(fma.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y) -3)

simplify107.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
649×distribute-rgt-in_binary64
544×fma-neg_binary64
405×fma-def_binary64
363×associate-/l*_binary64
320×associate-/l/_binary64
Counts
136 → 128
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051553
11811299
24201272
310171272
420611272
533451272
649451272
751761272

prune93.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done011
Total1286134
Error
0b
Counts
134 → 6
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y) -3)
✓0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
0.1b
(-.f64 (/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y))) 3)
3.8b
(fma.f64 x (/.f64 1 (*.f64 y y)) -3)
25.7b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) 3)
4.4b
(+.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
Compiler

Compiled 2218 to 1236 computations (44.3% saved)

regimes246.0ms (7.3%)

Accuracy

Total 0.1b remaining (85.4%)

Threshold costs 0.1b (85.4%)

Counts
53 → 1
Compiler

Compiled 4184 to 2820 computations (32.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21110
31010

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample539.0ms (16.1%)

Algorithm
1×intervals
Results
244.0ms8000×body128valid
11.0ms367×body128invalid
Compiler

Compiled 96 to 68 computations (29.2% saved)

Profiling

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