Details

Time bar (total: 3.6s)

analyze1.6s (44.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
3.1%96.6%0.3%14
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample68.0ms (1.9%)

Algorithm
1×intervals
Symmetry

(sort x y)

(sort z t)

(sort a b)

Results
11.0ms256×body128valid
6.0ms131×body128invalid
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×fma-def_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01214
12012
23512
34312
44312

prune5.0ms (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 a b (fma.f64 x y (*.f64 z t)))
Compiler

Compiled 56 to 31 computations (44.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
✓0.0b
(fma.f64 x y (*.f64 z t))

series27.0ms (0.8%)

Counts
2 → 120
Calls

2 calls:

18.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
9.0ms
(fma.f64 x y (*.f64 z t))

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

1.0ms
(fma.f64 x y (*.f64 z t))
0.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))

simplify132.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
914×distribute-lft-in_binary64
914×distribute-rgt-in_binary64
738×unswap-sqr_binary64
682×distribute-rgt-out_binary64
377×fma-def_binary64
Counts
140 → 47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0371376
1501334
21361334
35451334
430271334
531171334
634541334
738271334
843051334
944211334
1056411334

prune28.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
21.8b
(fma.f64 t z (*.f64 a b))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
▶0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
Compiler

Compiled 688 to 161 computations (76.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 t z (*.f64 y x))
✓0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))

series29.0ms (0.8%)

Counts
2 → 120
Calls

2 calls:

19.0ms
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
10.0ms
(fma.f64 t z (*.f64 y x))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
0.0ms
(fma.f64 t z (*.f64 y x))

simplify136.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
914×distribute-lft-in_binary64
914×distribute-rgt-in_binary64
738×unswap-sqr_binary64
682×distribute-rgt-out_binary64
377×fma-def_binary64
Counts
140 → 46
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0351376
1501334
21361334
35451334
430411334
531311334
634681334
738411334
843191334
944351334
1056411334

prune23.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done011
Total46349
Error
0b
Counts
49 → 3
Alt Table
StatusErrorProgram
▶21.8b
(fma.f64 t z (*.f64 a b))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
✓0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
Compiler

Compiled 651 to 145 computations (77.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 t z (*.f64 a b))

series10.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

10.0ms
(fma.f64 t z (*.f64 a b))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 t z (*.f64 a b))

simplify120.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
572×associate-/r/_binary64
527×fma-def_binary64
502×unswap-sqr_binary64
500×distribute-rgt-in_binary64
485×associate-+l+_binary64
Counts
58 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018460
123443
247443
3128443
4401443
51504443
62934443
73199443
83454443
93982443
104805443
114988443
124867443

prune8.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done022
Total21324
Error
0b
Counts
24 → 3
Alt Table
StatusErrorProgram
✓21.8b
(fma.f64 t z (*.f64 a b))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
✓0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
Compiler

Compiled 260 to 74 computations (71.5% saved)

regimes198.0ms (5.5%)

Accuracy

Total 0.0b remaining (61.5%)

Threshold costs 0.0b (61.5%)

Counts
14 → 1
Compiler

Compiled 2485 to 1711 computations (31.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
21112

end48.0ms (1.3%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 105 to 63 computations (40% saved)

sample1.1s (31%)

Algorithm
1×intervals
Results
375.0ms8000×body128valid
167.0ms3946×body128invalid
Compiler

Compiled 81 to 53 computations (34.6% saved)

Profiling

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