Details

Time bar (total: 1.2s)

analyze87.0ms (7.4%)

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
25%74.9%0.1%5
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample29.0ms (2.5%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify8.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
17×fma-def_binary64
16×*-commutative_binary64
6×distribute-rgt-out_binary64
5×associate-*r*_binary64
5×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
12010
23910
35410
45610
55610

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (*.f64 x (+.f64 x y)))
▶0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
✓0.0b
(+.f64 (*.f64 x x) (*.f64 x y))

series14.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 x y))

rewrite9.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×associate-*r*_binary64
4×*-un-lft-identity_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
Counts
2 → 40
Calls

2 calls:

5.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
3.0ms
(+.f64 (*.f64 x x) (*.f64 x y))

simplify67.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
584×associate-*l*_binary64
462×associate-*r*_binary64
439×distribute-rgt-out_binary64
406×distribute-lft-out_binary64
401×fma-neg_binary64
Counts
88 → 77
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070920
1201854
2639854
32432854
44768854
55023854

prune48.0ms (4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New75277
Fresh101
Picked101
Done000
Total77279
Error
0b
Counts
79 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (fma.f64 x x (*.f64 x y)))
▶0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 1148 to 422 computations (63.2% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))

series7.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(*.f64 x (*.f64 2 (+.f64 y x)))

rewrite6.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
4×associate-*r/_binary64
4×distribute-lft-in_binary64
Counts
1 → 26
Calls

1 calls:

5.0ms
(*.f64 x (*.f64 2 (+.f64 y x)))

simplify57.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
661×associate-*l*_binary64
465×associate-*r*_binary64
393×distribute-rgt-in_binary64
390×distribute-lft-in_binary64
371×associate-*l/_binary64
Counts
50 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067658
1164541
2581541
32144541
43808541
55202541

prune97.0ms (8.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done000
Total42244
Error
0b
Counts
44 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (fma.f64 x x (*.f64 x y)))
✓0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 548 to 274 computations (50% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (fma.f64 x x (*.f64 x y)))
✓0.0b
(fma.f64 x x (*.f64 x y))

series15.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 2 (fma.f64 x x (*.f64 x y)))
7.0ms
(fma.f64 x x (*.f64 x y))

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
4×add-exp-log_binary64
Counts
2 → 32
Calls

2 calls:

3.0ms
(*.f64 2 (fma.f64 x x (*.f64 x y)))
0.0ms
(fma.f64 x x (*.f64 x y))

simplify109.0ms (9.2%)

Algorithm
1×egg-herbie
Rules
746×distribute-rgt-in_binary64
724×distribute-lft-in_binary64
357×*-commutative_binary64
329×fma-def_binary64
305×sqr-pow_binary64
Counts
80 → 64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052877
192753
2244753
3850753
42838753
53371753
63935753
74984753
84955753

prune25.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done011
Total64266
Error
0b
Counts
66 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (fma.f64 x x (*.f64 x y)))
✓0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 819 to 326 computations (60.2% saved)

regimes41.0ms (3.5%)

Accuracy

Total 0.0b remaining (91.5%)

Threshold costs 0.0b (91.5%)

Counts
8 → 1
Compiler

Compiled 320 to 216 computations (32.5% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample537.0ms (45.4%)

Algorithm
1×intervals
Results
283.0ms8000×body128valid
4.0ms144×body128invalid
Compiler

Compiled 42 to 28 computations (33.3% saved)

Profiling

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