Details

Time bar (total: 2.4s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (46.8%)

Results
428.0ms2113×body512valid
376.0ms4625×body128valid
147.0ms1053×body256valid
120.0ms465×body1024valid
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify11.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32613
43413
55213
67713
79413
811113
912113
1012513
1112713
1211313

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
15.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶15.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 39 to 31 computations (20.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓3.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series5.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
2.0ms
(/.f64 1 (+.f64 x 1))

rewrite58.0ms (2.5%)

Algorithm
2×batch-egg-rewrite
Rules
135×egg-rr
Counts
2 → 135
Calls

2 calls:

55.0ms
((-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (/.f64 1 (+.f64 x 1)))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
116820
2222620
3523920
000
100

simplify74.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
625×fma-neg_binary64
429×cancel-sign-sub-inv_binary64
405×associate-/r*_binary64
338×div-sub_binary64
334×sub-neg_binary64
Counts
159 → 163
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037372
198366
2234366
3577364
41646363
54272363
64983363
74917363

prune109.0ms (4.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1603163
Fresh000
Picked101
Done000
Total1613164
Error
0.4b
Counts
164 → 3
Alt Table
StatusErrorProgram
▶15.0b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
30.6b
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
33.7b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
Compiler

Compiled 3429 to 2554 computations (25.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 1 x))
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
✓2.7b
(-.f64 x (+.f64 1 x))

series7.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
2.0ms
(*.f64 x (+.f64 1 x))
2.0ms
(-.f64 x (+.f64 1 x))

rewrite81.0ms (3.4%)

Algorithm
2×batch-egg-rewrite
Rules
233×egg-rr
Counts
3 → 233
Calls

2 calls:

73.0ms
((-.f64 x (+.f64 1 x)) (/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) (*.f64 x (+.f64 1 x)))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0730
116730
2255826
3515226
000
100

simplify89.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
517×distribute-neg-frac_binary64
428×associate-*l*_binary64
405×associate-/r*_binary64
302×associate-*r*_binary64
292×fma-def_binary64
Counts
269 → 253
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030285
173265
2159265
3380265
4979265
53552265
64942265
74991265
84880265

prune156.0ms (6.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2521253
Fresh112
Picked011
Done000
Total2533256
Error
0.4b
Counts
256 → 3
Alt Table
StatusErrorProgram
✓15.0b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶0.4b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
33.7b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
Compiler

Compiled 4728 to 2804 computations (40.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (+.f64 1 x))
✓0.4b
(/.f64 -1 (*.f64 x (+.f64 1 x)))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite84.0ms (3.6%)

Algorithm
2×batch-egg-rewrite
Rules
26×egg-rr
Counts
1 → 26
Calls

2 calls:

83.0ms
((/.f64 -1 (*.f64 x (+.f64 1 x))))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114810
2176910
3494110
000
100

simplify66.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
517×distribute-neg-frac_binary64
416×associate-*l*_binary64
405×associate-/r*_binary64
295×associate-*r*_binary64
245×sub-neg_binary64
Counts
38 → 41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029201
171199
2154199
3369199
4951199
53473199
64865199
74919199

prune58.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh011
Picked011
Done101
Total92799
Error
0.0b
Counts
99 → 7
Alt Table
StatusErrorProgram
25.2b
(/.f64 -1 (/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1)))
24.9b
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
▶0.1b
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
0.6b
(/.f64 -1 (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) x))
✓0.4b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
33.7b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
5.1b
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
Compiler

Compiled 1223 to 748 computations (38.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))

series18.0ms (0.8%)

Counts
1 → 12
Calls

1 calls:

18.0ms
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))

rewrite77.0ms (3.3%)

Algorithm
2×batch-egg-rewrite
Rules
49×egg-rr
Counts
1 → 49
Calls

2 calls:

76.0ms
((*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1))))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117710
2215210
3527610
000
100

simplify66.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
517×distribute-neg-frac_binary64
416×associate-*l*_binary64
405×associate-/r*_binary64
295×associate-*r*_binary64
245×sub-neg_binary64
Counts
61 → 64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029201
171199
2154199
3369199
4951199
53473199
64865199
74919199

prune85.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New984102
Fresh415
Picked101
Done011
Total1036109
Error
0b
Counts
109 → 6
Alt Table
StatusErrorProgram
7.9b
(*.f64 (/.f64 -1 x) (sqrt.f64 (pow.f64 (+.f64 1 x) -2)))
16.5b
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (+.f64 x 1) (/.f64 -1 (cbrt.f64 x))))
0.1b
(/.f64 (/.f64 (/.f64 -1 x) 1) (+.f64 x 1))
0.6b
(/.f64 -1 (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) x))
0.1b
(*.f64 (/.f64 -1 x) (expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))))
✓0.4b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 1205 to 900 computations (25.3% saved)

regimes105.0ms (4.4%)

Accuracy

Total 0.1b remaining (83.1%)

Threshold costs 0.1b (83.1%)

Counts
67 → 1
Compiler

Compiled 1496 to 1140 computations (23.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
2910

end75.0ms (3.2%)

Compiler

Compiled 86 to 65 computations (24.4% saved)

Profiling

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