Details

Time bar (total: 2.9s)

analyze506.0ms (17.2%)

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
46%49.5%4.4%10
50.3%44.9%4.8%11
55.6%39.2%5.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (37.3%)

Results
888.0ms8256×body128valid
113.0ms968×body128invalid
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify109.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
925×fma-neg_binary64
880×div-sub_binary64
795×fma-def_binary64
774×times-frac_binary64
463×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25714
317214
440814
5124111
6269411
7403311
8421611
9458611
10447511
11449211
12470011

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x y) z)

series10.0ms (0.3%)

Counts
1 → 28
Calls

1 calls:

10.0ms
(/.f64 (-.f64 x y) z)

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
19×add-sqr-sqrt_binary64
15×times-frac_binary64
11×add-cube-cbrt_binary64
5×associate-/l*_binary64
Counts
1 → 40
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) z)

simplify61.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
643×unsub-neg_binary64
507×times-frac_binary64
442×fma-neg_binary64
375×associate-/l*_binary64
315×distribute-rgt-in_binary64
Counts
68 → 47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081759
1180727
2391727
3928727
43644727
55109727

prune31.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh000
Picked101
Done000
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
30.1b
(fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z))) -2)
▶0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 759 to 331 computations (56.4% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 x z) (/.f64 y z))

series11.0ms (0.4%)

Counts
1 → 18
Calls

1 calls:

10.0ms
(-.f64 (/.f64 x z) (/.f64 y z))

rewrite47.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
262×times-frac_binary64
211×add-sqr-sqrt_binary64
207×*-un-lft-identity_binary64
199×add-cube-cbrt_binary64
169×prod-diff_binary64
Counts
1 → 219
Calls

1 calls:

15.0ms
(-.f64 (/.f64 x z) (/.f64 y z))

simplify177.0ms (6%)

Algorithm
1×egg-herbie
Rules
850×fma-def_binary64
492×associate-*l/_binary64
371×associate-/l*_binary64
341×fma-neg_binary64
227×unsub-neg_binary64
Counts
237 → 240
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03104725
16873862
213532380
339802379
442092379
548982379
647052379

prune132.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2400240
Fresh011
Picked011
Done000
Total2402242
Error
0b
Counts
242 → 2
Alt Table
StatusErrorProgram
▶30.1b
(fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z))) -2)
✓0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 9463 to 2471 computations (73.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) z)
✓0.2b
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
✓3.4b
(sqrt.f64 (/.f64 (-.f64 x y) z))

series144.0ms (4.9%)

Counts
2 → 36
Calls

2 calls:

85.0ms
(sqrt.f64 (/.f64 (-.f64 x y) z))
59.0ms
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))

rewrite43.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
134×add-sqr-sqrt_binary64
121×sqrt-prod_binary64
103×*-un-lft-identity_binary64
100×times-frac_binary64
55×add-cube-cbrt_binary64
Counts
2 → 152
Calls

2 calls:

18.0ms
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
4.0ms
(sqrt.f64 (/.f64 (-.f64 x y) z))

simplify144.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
758×fma-def_binary64
533×times-frac_binary64
337×associate-/r*_binary64
337×associate-/l*_binary64
232×associate-*l/_binary64
Counts
188 → 194
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02173229
14163042
214092982
347782982
454632982

prune155.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3400340
Fresh000
Picked011
Done011
Total3402342
Error
0b
Counts
342 → 2
Alt Table
StatusErrorProgram
✓30.1b
(fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z))) -2)
✓0.0b
(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
Compiler

Compiled 8458 to 2481 computations (70.7% saved)

regimes190.0ms (6.5%)

Accuracy

Total 0.0b remaining (32.2%)

Threshold costs 0.0b (32.2%)

Counts
41 → 1
Compiler

Compiled 3054 to 2271 computations (25.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×*-lft-identity_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11711
22111
32311
42411
52211

end42.0ms (1.4%)

Compiler

Compiled 54 to 35 computations (35.2% saved)

Profiling

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