Details

Time bar (total: 2.3s)

analyze43.0ms (1.9%)

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
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)

sample32.0ms (1.4%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 x (+.f64 y x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 x (+.f64 y x))

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
4×associate-/r*_binary64
Counts
1 → 35
Calls

1 calls:

4.0ms
(/.f64 x (+.f64 y x))

simplify43.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
614×fma-def_binary64
547×associate-/r*_binary64
430×associate-/l/_binary64
325×associate-/r/_binary64
276×cancel-sign-sub-inv_binary64
Counts
59 → 68
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084914
1184884
2477833
31577791
44946791

prune44.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh000
Picked011
Done000
Total65469
Error
0b
Counts
69 → 4
Alt Table
StatusErrorProgram
13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓0.0b
(/.f64 x (+.f64 y x))
▶0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 931 to 306 computations (67.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 y x))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))

series18.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 1 (+.f64 y x)))
8.0ms
(/.f64 1 (+.f64 y x))

rewrite17.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
27×add-sqr-sqrt_binary64
26×times-frac_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
Counts
2 → 82
Calls

2 calls:

9.0ms
(*.f64 x (/.f64 1 (+.f64 y x)))
4.0ms
(/.f64 1 (+.f64 y x))

simplify125.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
661×cancel-sign-sub-inv_binary64
454×fma-neg_binary64
274×sub-neg_binary64
252×times-frac_binary64
213×associate-/l*_binary64
Counts
130 → 141
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01171797
12681704
27611617
324391593
442701593
548891569
649801569
749391569

prune83.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh022
Picked011
Done011
Total1414145
Error
0b
Counts
145 → 4
Alt Table
StatusErrorProgram
13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓0.0b
(/.f64 x (+.f64 y x))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
▶0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 2039 to 958 computations (53% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 y x))
✓0.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
✓0.2b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
✓6.7b
(cbrt.f64 (/.f64 x (+.f64 y x)))

series107.0ms (4.7%)

Counts
3 → 72
Calls

3 calls:

57.0ms
(cbrt.f64 (/.f64 x (+.f64 y x)))
37.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
12.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))

rewrite113.0ms (5%)

Algorithm
1×rewrite-expression-head
Rules
134×cbrt-prod_binary64
114×*-un-lft-identity_binary64
91×times-frac_binary64
88×add-sqr-sqrt_binary64
60×add-cube-cbrt_binary64
Counts
3 → 191
Calls

3 calls:

69.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
19.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
3.0ms
(cbrt.f64 (/.f64 x (+.f64 y x)))

simplify189.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
572×fma-def_binary64
420×cancel-sign-sub-inv_binary64
282×associate-*r*_binary64
269×associate-*l*_binary64
262×fma-neg_binary64
Counts
263 → 349
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03687246
18836836
229536201
349366201
449546201

prune456.0ms (20.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New7090709
Fresh011
Picked011
Done022
Total7094713
Error
0b
Counts
713 → 4
Alt Table
StatusErrorProgram
▶13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓0.0b
(/.f64 x (+.f64 y x))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
✓0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 21526 to 5289 computations (75.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))
✓0.2b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
✓13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series50.0ms (2.2%)

Counts
3 → 72
Calls

3 calls:

18.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
17.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
15.0ms
(/.f64 x (+.f64 x y))

rewrite29.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
78×*-un-lft-identity_binary64
60×times-frac_binary64
46×add-sqr-sqrt_binary64
46×add-cube-cbrt_binary64
42×cbrt-prod_binary64
Counts
3 → 147
Calls

3 calls:

8.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
6.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
4.0ms
(/.f64 x (+.f64 x y))

simplify117.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
386×fma-neg_binary64
385×unswap-sqr_binary64
317×associate-/l/_binary64
313×associate-/r/_binary64
311×fma-def_binary64
Counts
219 → 155
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02123874
15523661
217183457
346453457
451263457

prune117.0ms (5.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1550155
Fresh000
Picked011
Done033
Total1554159
Error
0b
Counts
159 → 4
Alt Table
StatusErrorProgram
✓13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓0.0b
(/.f64 x (+.f64 y x))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
✓0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 2524 to 1129 computations (55.3% saved)

regimes207.0ms (9.1%)

Accuracy

Total 0.0b remaining (60.2%)

Threshold costs 0.0b (60.2%)

Counts
69 → 1
Compiler

Compiled 3080 to 1891 computations (38.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample427.0ms (18.9%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 65 to 35 computations (46.2% saved)

Profiling

Loading profile data...