Details

Time bar (total: 1.4s)

analyze66.0ms (4.7%)

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
37.5%62.4%0.1%5
62.4%37.5%0.1%6
71.8%28.1%0.1%7
76.5%21.9%1.7%8
80.4%16.4%3.2%9
82.3%11.7%6%10
84.1%8.8%7.1%11
85%6%9%12
85.8%4.5%9.7%13
86.2%3.1%10.7%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample744.0ms (52.7%)

Results
665.0ms8256×body128valid
14.0ms146×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify29.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
221×fma-def_binary64
170×fma-neg_binary64
140×div-sub_binary64
107×times-frac_binary64
59×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1107
2187
3307
4517
5747
61167
72077
83237
95007
105287
115547
125687
135937
145157

prune1.0ms (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 x y) x)
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

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

rewrite9.0ms (0.6%)

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:

7.0ms
(/.f64 (-.f64 x y) x)

simplify55.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
910×div-sub_binary64
416×unsub-neg_binary64
409×times-frac_binary64
340×associate-/l*_binary64
304×fma-def_binary64
Counts
64 → 55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075719
1160685
2354683
3859683
42819683
55136683

prune20.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356
Error
0b
Counts
56 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) x)
29.5b
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))
▶0.0b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 679 to 216 computations (68.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.4%)

Counts
1 → 6
Calls

1 calls:

5.0ms
(-.f64 1 (/.f64 y x))

rewrite12.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
47×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
39×prod-diff_binary64
38×times-frac_binary64
Counts
1 → 73
Calls

1 calls:

6.0ms
(-.f64 1 (/.f64 y x))

simplify85.0ms (6%)

Algorithm
1×egg-herbie
Rules
1142×fma-def_binary64
400×associate-*l/_binary64
352×associate-*r/_binary64
336×exp-prod_binary64
317×fma-neg_binary64
Counts
79 → 80
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441075
1364900
2945666
33363666
44151666
54853666
64647666

prune46.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh011
Picked011
Done011
Total80383
Error
0b
Counts
83 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) x)
▶29.5b
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))
✓0.0b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 2088 to 747 computations (64.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 x y))
✓0.1b
(/.f64 (sqrt.f64 (-.f64 x y)) x)
✓0.2b
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))

series53.0ms (3.7%)

Counts
3 → 36
Calls

3 calls:

22.0ms
(/.f64 (sqrt.f64 (-.f64 x y)) x)
18.0ms
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))
12.0ms
(sqrt.f64 (-.f64 x y))

rewrite36.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
73×add-sqr-sqrt_binary64
56×*-un-lft-identity_binary64
52×times-frac_binary64
50×sqrt-prod_binary64
38×add-cube-cbrt_binary64
Counts
3 → 132
Calls

3 calls:

17.0ms
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))
5.0ms
(/.f64 (sqrt.f64 (-.f64 x y)) x)
3.0ms
(sqrt.f64 (-.f64 x y))

simplify97.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
636×fma-def_binary64
497×associate-/l*_binary64
490×times-frac_binary64
262×associate-*l/_binary64
242×associate-/r*_binary64
Counts
168 → 186
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02112947
14912699
214552647
341972644
450352644

prune71.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh000
Picked011
Done022
Total2213224
Error
0b
Counts
224 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) x)
✓29.5b
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) x))
✓0.0b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 4500 to 1220 computations (72.9% saved)

regimes29.0ms (2.1%)

Accuracy

Total 0.0b remaining (81.3%)

Threshold costs 0.0b (81.3%)

Counts
8 → 1
Compiler

Compiled 275 to 169 computations (38.5% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2167
3207
4237
5247
6237

end37.0ms (2.6%)

Compiler

Compiled 41 to 25 computations (39% saved)

Profiling

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