Details

Time bar (total: 2.3s)

analyze8.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0.1%0.1%14
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.6s (67%)

Results
501.0ms4525×body128valid
485.0ms1376×body1024valid
402.0ms1576×body512valid
140.0ms779×body256valid
0.0ms2×body128invalid
Compiler

Compiled 50 to 41 computations (18% saved)

simplify13.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523722
638822
750922
861522
963522
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
9.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶9.5b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 63 to 51 computations (19% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
✓1.8b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series9.0ms (0.4%)

Counts
4 → 48
Calls

4 calls:

3.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
2.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.0ms
(/.f64 1 (-.f64 x 1))
2.0ms
(/.f64 1 (+.f64 x 1))

rewrite72.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
236×expm1-udef_binary64
236×log1p-udef_binary64
152×egg-rr
136×add-sqr-sqrt_binary64
134×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
127349
2430249
Stop Event
1×node limit
Counts
4 → 152
Calls

4 calls:

69.0ms
(/.f64 1 (+.f64 x 1))
69.0ms
(/.f64 1 (-.f64 x 1))
69.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
69.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

simplify37.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
653×fma-neg_binary64
489×cancel-sign-sub-inv_binary64
260×associate-*l*_binary64
254×fma-def_binary64
244×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078752
1247726
2725720
32230717
Stop Event
1×node limit
Counts
200 → 205

prune155.0ms (6.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2032205
Fresh000
Picked011
Done000
Total2033206
Error
0.4b
Counts
206 → 3
Alt Table
StatusErrorProgram
33.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
▶31.1b
(fma.f64 -2 x (/.f64 -2 x))
✓9.5b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 4755 to 3758 computations (21% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -2 x (/.f64 -2 x))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(fma.f64 -2 x (/.f64 -2 x))

rewrite32.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
481×log1p-expm1-u_binary64
481×expm1-log1p-u_binary64
255×unpow-prod-down_binary64
227×log-prod_binary64
137×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
11088
212988
Stop Event
1×node limit
Counts
1 → 38
Calls

1 calls:

32.0ms
(fma.f64 -2 x (/.f64 -2 x))

simplify29.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
144×fma-neg_binary64
56×associate-/l*_binary64
55×fma-def_binary64
45×cancel-sign-sub-inv_binary64
40×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012120
129102
26384
311584
422984
536384
649684
758084
866384
969384
1072784
1177984
1278984
1380584
Stop Event
1×saturated
Counts
50 → 42

prune20.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done011
Total42345
Error
0.4b
Counts
45 → 3
Alt Table
StatusErrorProgram
▶33.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓31.1b
(fma.f64 -2 x (/.f64 -2 x))
✓9.5b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 562 to 438 computations (22.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 2 (pow.f64 x 5))
✓0.5b
(/.f64 2 (pow.f64 x 3))

series9.0ms (0.4%)

Counts
2 → 0
Calls

2 calls:

6.0ms
(/.f64 2 (pow.f64 x 5))
3.0ms
(/.f64 2 (pow.f64 x 3))

rewrite38.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
813×log1p-expm1-u_binary64
813×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
89×add-cbrt-cube_binary64
89×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
120214
2230914
Stop Event
1×node limit
Counts
2 → 44
Calls

2 calls:

38.0ms
(/.f64 2 (pow.f64 x 5))
38.0ms
(/.f64 2 (pow.f64 x 3))

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
44 → 44

prune30.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh000
Picked101
Done022
Total43447
Error
0b
Counts
47 → 4
Alt Table
StatusErrorProgram
33.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
▶32.7b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (pow.f64 x -3)))
✓31.1b
(fma.f64 -2 x (/.f64 -2 x))
✓9.5b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 690 to 583 computations (15.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (pow.f64 x -3))
0.1b
(/.f64 2 (pow.f64 x 5))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(*.f64 2 (pow.f64 x -3))

rewrite30.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
487×log1p-expm1-u_binary64
487×expm1-log1p-u_binary64
322×unpow-prod-down_binary64
242×log-prod_binary64
148×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11267
213607
Stop Event
1×node limit
Counts
1 → 18
Calls

1 calls:

30.0ms
(*.f64 2 (pow.f64 x -3))

simplify56.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
568×sqr-pow_binary64
456×associate-/r*_binary64
362×unswap-sqr_binary64
322×associate-/l/_binary64
313×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11384
22484
33984
47484
521084
676184
7223284
8232084
9245384
10261184
11285984
12318784
13360884
14410884
15470384
Stop Event
1×node limit
Counts
30 → 19

prune26.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done022
Total41445
Error
0b
Counts
45 → 4
Alt Table
StatusErrorProgram
33.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
✓32.7b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (pow.f64 x -3)))
✓31.1b
(fma.f64 -2 x (/.f64 -2 x))
✓9.5b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 637 to 539 computations (15.4% saved)

regimes46.0ms (2%)

Accuracy

Total 0.1b remaining (69.5%)

Threshold costs 0.1b (69.5%)

Counts
11 → 3
Compiler

Compiled 280 to 228 computations (18.6% saved)

bsearch0.0ms (0%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030114
145114
255114
358114
459114
Stop Event
1×saturated

end122.0ms (5.2%)

Compiler

Compiled 200 to 157 computations (21.5% saved)

Profiling

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