Details

Time bar (total: 2.9s)

analyze540.0ms (18.8%)

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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
46%49.5%4.4%10
50.3%44.9%4.8%11
55.6%39.2%5.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (41.2%)

Results
966.0ms8256×body128valid
120.0ms994×body128invalid
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify110.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
925×fma-neg_binary64
880×div-sub_binary64
795×fma-def_binary64
774×times-frac_binary64
463×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25714
317214
440814
5124111
6269411
7403311
8421611
9458611
10447511
11449211
12470011

prune3.0ms (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 4 (/.f64 (-.f64 x y) z) -2)
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts
1 → 28
Calls

1 calls:

9.0ms
(/.f64 (-.f64 x y) z)

rewrite6.0ms (0.2%)

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:

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

simplify66.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
643×unsub-neg_binary64
507×times-frac_binary64
442×fma-neg_binary64
375×associate-/l*_binary64
315×distribute-rgt-in_binary64
Counts
68 → 47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081759
1180727
2391727
3928727
43644727
55109727

prune27.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
▶0.2b
(fma.f64 4 (*.f64 (-.f64 x y) (/.f64 1 z)) -2)
✓0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
38.3b
(fma.f64 4 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))) -2)
Compiler

Compiled 780 to 353 computations (54.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (-.f64 x y) (/.f64 1 z))

series9.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

9.0ms
(*.f64 (-.f64 x y) (/.f64 1 z))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64
13×associate-*r*_binary64
12×*-un-lft-identity_binary64
11×times-frac_binary64
10×add-exp-log_binary64
Counts
1 → 44
Calls

1 calls:

7.0ms
(*.f64 (-.f64 x y) (/.f64 1 z))

simplify64.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
816×fma-def_binary64
522×div-sub_binary64
368×associate-*l/_binary64
341×associate-/l*_binary64
296×associate-*r/_binary64
Counts
80 → 71
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089769
1201703
2588703
31581703
43858703
55159703

prune36.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done011
Total71374
Error
0b
Counts
74 → 3
Alt Table
StatusErrorProgram
✓0.2b
(fma.f64 4 (*.f64 (-.f64 x y) (/.f64 1 z)) -2)
✓0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
▶38.3b
(fma.f64 4 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))) -2)
Compiler

Compiled 1209 to 657 computations (45.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(fma.f64 y y (*.f64 x (+.f64 y x)))
✓2.2b
(-.f64 (pow.f64 x 3) (pow.f64 y 3))
✓2.7b
(*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))
✓39.6b
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x)))))

series165.0ms (5.7%)

Counts
4 → 102
Calls

4 calls:

119.0ms
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x)))))
29.0ms
(*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))
11.0ms
(-.f64 (pow.f64 x 3) (pow.f64 y 3))
6.0ms
(fma.f64 y y (*.f64 x (+.f64 y x)))

rewrite71.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
160×add-sqr-sqrt_binary64
144×prod-diff_binary64
116×*-un-lft-identity_binary64
114×cube-prod_binary64
114×unpow-prod-down_binary64
Counts
4 → 305
Calls

4 calls:

19.0ms
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x)))))
15.0ms
(-.f64 (pow.f64 x 3) (pow.f64 y 3))
3.0ms
(*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))
0.0ms
(fma.f64 y y (*.f64 x (+.f64 y x)))

simplify216.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
738×distribute-rgt-in_binary64
398×fma-neg_binary64
252×cancel-sign-sub-inv_binary64
218×associate-*l*_binary64
195×associate-*r*_binary64
Counts
407 → 297
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03078304
15297248
221836161
348326160
448616160

prune211.0ms (7.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2970297
Fresh000
Picked011
Done022
Total2973300
Error
0b
Counts
300 → 3
Alt Table
StatusErrorProgram
✓0.2b
(fma.f64 4 (*.f64 (-.f64 x y) (/.f64 1 z)) -2)
✓0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
✓38.3b
(fma.f64 4 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (fma.f64 y y (*.f64 x (+.f64 y x))))) -2)
Compiler

Compiled 10356 to 5269 computations (49.1% saved)

regimes61.0ms (2.1%)

Accuracy

Total 0.0b remaining (43.6%)

Threshold costs 0.0b (43.6%)

Counts
10 → 1
Compiler

Compiled 924 to 606 computations (34.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
21611
31811
41911
51911

end56.0ms (2%)

Compiler

Compiled 70 to 50 computations (28.6% saved)

Profiling

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