Details

Time bar (total: 2.4s)

analyze6.0ms (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 (46.5%)

Results
443.0ms2088×body512valid
386.0ms4705×body128valid
147.0ms1033×body256valid
115.0ms430×body1024valid
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify10.0ms (0.4%)

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
16.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶16.0b
(-.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))
✓3.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series6.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

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

rewrite65.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
896×expm1-log1p-u_binary64
733×prod-diff_binary64
137×egg-rr
85×add-sqr-sqrt_binary64
83×log1p-expm1-u_binary64
Counts
2 → 137
Calls

2 calls:

61.0ms
(/.f64 1 (+.f64 x 1))
61.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
116820
2222620
3523920

simplify79.0ms (3.3%)

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
161 → 165
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037372
198366
2234366
3577364
41646363
54272363
64983363
74917363

prune164.0ms (6.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh000
Picked101
Done000
Total1642166
Error
0.2b
Counts
166 → 2
Alt Table
StatusErrorProgram
28.7b
(-.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))))
▶15.2b
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
Compiler

Compiled 3425 to 2554 computations (25.4% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
✓0.0b
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
✓2.2b
(-.f64 x (+.f64 1 x))

series6.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
2.0ms
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
1.0ms
(-.f64 x (+.f64 1 x))

rewrite130.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
623×prod-diff_binary64
480×fma-udef_binary64
327×fma-def_binary64
254×fma-neg_binary64
197×egg-rr
Counts
3 → 197
Calls

3 calls:

127.0ms
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
127.0ms
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
127.0ms
(-.f64 x (+.f64 1 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0736
116930
2262830
3483130
4485030
5500230

simplify79.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
666×sub-neg_binary64
633×fma-def_binary64
532×fma-neg_binary64
350×cancel-sign-sub-inv_binary64
266×times-frac_binary64
Counts
233 → 225
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037384
199378
2242378
3608375
41602375
54182375
64828375
75223375

prune131.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2232225
Fresh101
Picked011
Done000
Total2243227
Error
0.0b
Counts
227 → 3
Alt Table
StatusErrorProgram
✓15.2b
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
28.9b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
▶0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Compiler

Compiled 4067 to 2828 computations (30.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

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

rewrite50.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
761×log1p-expm1-u_binary64
761×expm1-log1p-u_binary64
128×log1p-udef_binary64
105×prod-diff_binary64
73×add-sqr-sqrt_binary64
Counts
2 → 65
Calls

2 calls:

49.0ms
(/.f64 -1 (+.f64 1 x))
49.0ms
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115117
2194217
3512317

simplify81.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
666×sub-neg_binary64
633×fma-def_binary64
532×fma-neg_binary64
350×cancel-sign-sub-inv_binary64
266×times-frac_binary64
Counts
89 → 93
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037372
199366
2242366
3608363
41602363
54182363
64828363
75223363

prune51.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New90393
Fresh101
Picked011
Done101
Total92496
Error
0.0b
Counts
96 → 4
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
23.8b
(/.f64 (*.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x))) x)
15.5b
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))
Compiler

Compiled 1174 to 875 computations (25.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 x x))
✓0.2b
(/.f64 1 (+.f64 x (*.f64 x x)))

series5.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

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

rewrite52.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
690×prod-diff_binary64
613×log1p-expm1-u_binary64
613×expm1-log1p-u_binary64
107×log1p-udef_binary64
73×egg-rr
Counts
2 → 73
Calls

2 calls:

50.0ms
(+.f64 x (*.f64 x x))
50.0ms
(/.f64 1 (+.f64 x (*.f64 x x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
113113
2157313
3505913

simplify68.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
827×div-sub_binary64
489×distribute-neg-frac_binary64
481×associate-*l*_binary64
406×associate-/r*_binary64
337×associate-*r*_binary64
Counts
97 → 91
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027273
171253
2160253
3387253
4956253
53507253
64458253
75308253

prune116.0ms (4.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh022
Picked011
Done011
Total90595
Error
0.0b
Counts
95 → 5
Alt Table
StatusErrorProgram
1.2b
(*.f64 -1 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1)))
✓0.2b
(*.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
23.8b
(/.f64 (*.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x))) x)
15.5b
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))
Compiler

Compiled 1253 to 788 computations (37.1% saved)

regimes94.0ms (3.9%)

Accuracy

Total 0.1b remaining (83%)

Threshold costs 0.1b (83%)

Counts
58 → 1
Compiler

Compiled 1320 to 992 computations (24.8% 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

end71.0ms (2.9%)

Compiler

Compiled 88 to 62 computations (29.5% saved)

Profiling

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