Details

Time bar (total: 1.9s)

analyze414.0ms (21.7%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
23.4%76.5%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
48.2%43.9%7.9%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
63.1%22.8%14.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample107.0ms (5.6%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
1.0ms17×body128invalid
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify30.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
354×fma-def_binary64
250×fma-neg_binary64
52×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
43×associate--r+_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
34911
41079
51728
62558
74208
85528
96248
106548
116648
126218

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
(fma.f64 y (-.f64 x z) z)
▶0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 60 to 36 computations (40% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 z (-.f64 1 y))
✓0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))

series11.0ms (0.6%)

Counts
2 → 60
Calls

2 calls:

7.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
4.0ms
(*.f64 z (-.f64 1 y))

rewrite23.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64
36×prod-diff_binary64
35×*-un-lft-identity_binary64
32×add-cube-cbrt_binary64
26×distribute-lft-in_binary64
Counts
2 → 91
Calls

2 calls:

11.0ms
(*.f64 z (-.f64 1 y))
5.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))

simplify96.0ms (5%)

Algorithm
1×egg-herbie
Rules
733×fma-neg_binary64
558×fma-def_binary64
354×cancel-sign-sub-inv_binary64
305×distribute-rgt-in_binary64
293×*-commutative_binary64
Counts
151 → 141
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381578
12741462
29831400
328351344
443411344
548571344

prune76.0ms (4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1392141
Fresh101
Picked101
Done000
Total1412143
Error
0b
Counts
143 → 2
Alt Table
StatusErrorProgram
9.1b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
▶0.0b
(fma.f64 x y (*.f64 z (-.f64 1 y)))
Compiler

Compiled 2748 to 1037 computations (62.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 z (-.f64 1 y))
✓0.0b
(fma.f64 x y (*.f64 z (-.f64 1 y)))

series15.0ms (0.8%)

Counts
1 → 36
Calls

1 calls:

8.0ms
(fma.f64 x y (*.f64 z (-.f64 1 y)))

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 x y (*.f64 z (-.f64 1 y)))

simplify62.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
921×neg-mul-1_binary64
620×distribute-rgt-neg-out_binary64
508×distribute-lft-neg-out_binary64
347×unsub-neg_binary64
317×distribute-rgt-in_binary64
Counts
46 → 29
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033505
166445
2141445
3365371
41835371
53912371
65235371

prune50.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh101
Picked011
Done000
Total96298
Error
0b
Counts
98 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x y (*.f64 z (-.f64 1 y)))
▶9.0b
(fma.f64 x y (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
Compiler

Compiled 1568 to 693 computations (55.8% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
✓4.1b
(*.f64 z (-.f64 1 (*.f64 y y)))
✓4.5b
(/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))

series58.0ms (3%)

Counts
3 → 84
Calls

3 calls:

29.0ms
(fma.f64 x y (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
19.0ms
(/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))
9.0ms
(*.f64 z (-.f64 1 (*.f64 y y)))

rewrite16.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
9×add-cube-cbrt_binary64
Counts
3 → 73
Calls

3 calls:

7.0ms
(/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))
5.0ms
(*.f64 z (-.f64 1 (*.f64 y y)))
0.0ms
(fma.f64 x y (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))

simplify106.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
612×associate-/l*_binary64
443×div-sub_binary64
346×fma-def_binary64
312×distribute-rgt-in_binary64
294×associate-*l/_binary64
Counts
157 → 134
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01492543
13402211
211572169
342752167
456812167

prune87.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136
Error
0b
Counts
136 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x y (*.f64 z (-.f64 1 y)))
✓9.0b
(fma.f64 x y (/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
Compiler

Compiled 2678 to 1452 computations (45.8% saved)

regimes84.0ms (4.4%)

Accuracy

Total 0.0b remaining (47.4%)

Threshold costs 0.0b (47.4%)

Counts
21 → 1
Compiler

Compiled 904 to 594 computations (34.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11311
21711
31911
42011
51911

end0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample640.0ms (33.6%)

Algorithm
1×intervals
Results
298.0ms8000×body128valid
32.0ms685×body128invalid
Compiler

Compiled 55 to 37 computations (32.7% saved)

Profiling

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