Details

Time bar (total: 8.1s)

analyze4.3s (52.7%)

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)

sample129.0ms (1.6%)

Algorithm
1×intervals
Results
27.0ms256×body128valid
16.0ms139×body128invalid
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify14.0ms (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

prune6.0ms (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)

localize24.0ms (0.3%)

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))

series55.0ms (0.7%)

Counts
2 → 120
Calls

2 calls:

38.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
18.0ms
(fma.f64 x y (*.f64 z t))

rewrite3.0ms (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:

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

simplify204.0ms (2.5%)

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

prune57.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
18.9b
(fma.f64 y x (*.f64 a b))
▶0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
Compiler

Compiled 688 to 161 computations (76.6% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series63.0ms (0.8%)

Counts
2 → 120
Calls

2 calls:

45.0ms
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
18.0ms
(fma.f64 t z (*.f64 y x))

rewrite3.0ms (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:

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

simplify204.0ms (2.5%)

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

prune40.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done011
Total46349
Error
0b
Counts
49 → 3
Alt Table
StatusErrorProgram
▶18.9b
(fma.f64 y x (*.f64 a b))
✓0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
Compiler

Compiled 663 to 148 computations (77.7% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.2%)

Counts
1 → 48
Calls

1 calls:

17.0ms
(fma.f64 y x (*.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:

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

simplify153.0ms (1.9%)

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
019460
123443
247443
3128443
4401443
51504443
62934443
73199443
83454443
93982443
104805443
114988443
124867443

prune20.0ms (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
✓18.9b
(fma.f64 y x (*.f64 a b))
✓0.0b
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
Compiler

Compiled 260 to 74 computations (71.5% saved)

regimes346.0ms (4.3%)

Accuracy

Total 0.0b remaining (69.9%)

Threshold costs 0.0b (69.9%)

Counts
11 → 1
Compiler

Compiled 2068 to 1416 computations (31.5% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
21112

end112.0ms (1.4%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 105 to 63 computations (40% saved)

sample2.4s (29.1%)

Algorithm
1×intervals
Results
734.0ms8000×body128valid
355.0ms3900×body128invalid
Compiler

Compiled 81 to 53 computations (34.6% saved)

Profiling

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