Details

Time bar (total: 1.3s)

analyze316.0ms (24.6%)

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
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample67.0ms (5.2%)

Algorithm
1×intervals
Symmetry

(sort y z)

Results
10.0ms256×body128valid
1.0ms16×body128invalid
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify20.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
335×fma-def_binary64
126×fma-neg_binary64
60×cancel-sign-sub-inv_binary64
40×distribute-rgt-neg-in_binary64
28×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
11911
24511
39111
412011
517911
624011
729411
837711
939611
1045011
1146211
1241311

prune7.0ms (0.5%)

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 y z) (*.f64 x x))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -4 (*.f64 y z) (*.f64 x x))

series10.0ms (0.7%)

Counts
1 → 36
Calls

1 calls:

9.0ms
(fma.f64 -4 (*.f64 y z) (*.f64 x x))

rewrite1.0ms (0.1%)

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 -4 (*.f64 y z) (*.f64 x x))

simplify79.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
490×*-commutative_binary64
334×neg-sub0_binary64
314×neg-mul-1_binary64
290×times-frac_binary64
288×associate-*l*_binary64
Counts
46 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023565
140488
287488
3294488
41369488
52959488
64609488
75240488

prune13.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New23124
Fresh000
Picked101
Done000
Total24125
Error
0.0b
Counts
25 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
Compiler

Compiled 310 to 139 computations (55.2% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
✓0.0b
(*.f64 (*.f64 y z) -4)

series14.0ms (1.1%)

Counts
2 → 60
Calls

2 calls:

9.0ms
(fma.f64 x x (*.f64 (*.f64 y z) -4))
4.0ms
(*.f64 (*.f64 y z) -4)

rewrite7.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
3×associate-*r*_binary64
3×*-un-lft-identity_binary64
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y z) -4)
0.0ms
(fma.f64 x x (*.f64 (*.f64 y z) -4))

simplify73.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
692×neg-mul-1_binary64
552×associate-*l*_binary64
501×distribute-rgt-neg-in_binary64
483×neg-sub0_binary64
388×associate-*r*_binary64
Counts
90 → 49
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061888
1124829
2407829
31391829
43156829
54399829
64915829

prune20.0ms (1.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done000
Total49150
Error
0.0b
Counts
50 → 1
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
Compiler

Compiled 634 to 312 computations (50.8% saved)

regimes74.0ms (5.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
7 → 1
Compiler

Compiled 655 to 460 computations (29.8% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
21011

end6.0ms (0.5%)

Remove

(sort y z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

sample565.0ms (44%)

Algorithm
1×intervals
Results
274.0ms8000×body128valid
19.0ms486×body128invalid
Compiler

Compiled 38 to 26 computations (31.6% saved)

Profiling

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