Details

Time bar (total: 2.8s)

analyze331.0ms (11.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
49.9%49.9%0.2%7
49.9%49.9%0.2%8
74.9%25%0.2%9
74.9%25%0.2%10
74.9%25%0.2%11
74.9%25%0.2%12
87.3%12.5%0.2%13
87.3%12.5%0.2%14
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample918.0ms (32.7%)

Infinites
25.8% of outputs are infinite.
Symmetry

(sort x y)

Results
790.0ms8256×body128valid
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify171.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
1491×fma-neg_binary64
579×fma-def_binary64
465×distribute-rgt-in_binary64
419×div-sub_binary64
329×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12113
24513
37013
413813
525713
649813
792213
8161513
9247213
10243513
11243113
12242713
13242813
14242813
15359613
16326013
17326013
18326013
19314013

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series21.0ms (0.8%)

Counts
1 → 48
Calls

1 calls:

21.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
7×add-sqr-sqrt_binary64
6×associate-/l*_binary64
6×times-frac_binary64
6×add-cbrt-cube_binary64
Counts
1 → 32
Calls

1 calls:

7.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify70.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
429×div-sub_binary64
352×distribute-rgt-in_binary64
333×distribute-lft-in_binary64
268×neg-mul-1_binary64
200×associate-/l*_binary64
Counts
80 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081540
12741260
28891216
331711099
447111099
550411099

prune39.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh000
Picked011
Done000
Total59362
Error
0b
Counts
62 → 3
Alt Table
StatusErrorProgram
▶2.5b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
25.8b
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))
✓0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 1013 to 428 computations (57.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x y) (*.f64 t 2))
✓2.3b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

series41.0ms (1.5%)

Counts
2 → 84
Calls

2 calls:

30.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
11.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

rewrite26.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
67×times-frac_binary64
65×*-un-lft-identity_binary64
56×prod-diff_binary64
40×add-sqr-sqrt_binary64
38×add-cube-cbrt_binary64
Counts
2 → 118
Calls

2 calls:

10.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
5.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

simplify134.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
707×fma-def_binary64
458×times-frac_binary64
418×associate-/l*_binary64
345×fma-neg_binary64
184×distribute-rgt-in_binary64
Counts
202 → 167
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02234746
15503965
215422814
341962814
449702814
548642814

prune119.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1670167
Fresh011
Picked011
Done011
Total1673170
Error
0b
Counts
170 → 3
Alt Table
StatusErrorProgram
✓2.5b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
▶25.8b
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))
✓0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 4673 to 2556 computations (45.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 y (-.f64 x z)) t)
✓0.2b
(pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3)
✓25.9b
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))

series128.0ms (4.6%)

Counts
3 → 144
Calls

3 calls:

79.0ms
(pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3)
34.0ms
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))
14.0ms
(/.f64 (+.f64 y (-.f64 x z)) t)

rewrite61.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
274×*-un-lft-identity_binary64
267×times-frac_binary64
136×cbrt-prod_binary64
134×add-sqr-sqrt_binary64
134×add-cube-cbrt_binary64
Counts
3 → 247
Calls

3 calls:

14.0ms
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))
7.0ms
(pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3)
6.0ms
(/.f64 (+.f64 y (-.f64 x z)) t)

simplify222.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
400×associate-/l*_binary64
320×fma-neg_binary64
299×div-sub_binary64
214×times-frac_binary64
162×associate-/l/_binary64
Counts
391 → 298
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045812279
1102511192
2402811136
3544411136

prune185.0ms (6.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2980298
Fresh000
Picked011
Done022
Total2983301
Error
0b
Counts
301 → 3
Alt Table
StatusErrorProgram
✓2.5b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
✓25.8b
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 x z)) t) 3) 8))
✓0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 7910 to 3947 computations (50.1% saved)

regimes243.0ms (8.7%)

Accuracy

Total 0.0b remaining (55.9%)

Threshold costs 0.0b (55.9%)

Counts
31 → 1
Compiler

Compiled 3608 to 2604 computations (27.8% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11413
21913
32113
42213
52213

end60.0ms (2.1%)

Remove

(sort x y)

Compiler

Compiled 98 to 69 computations (29.6% saved)

Profiling

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