Details

Time bar (total: 2.5s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample770.0ms (31.3%)

Results
755.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess18.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
2×*-commutative_binary64
2×associate-*l*_binary64
1×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
011
Stop Event
1×saturated
1×saturated
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×associate-*l*_binary64
1×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
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
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

1.0ms
(*.f64 (*.f64 x 3) x)
x
0
1.0ms
(*.f64 (*.f64 x 3) x)
x
inf
1.0ms
(*.f64 (*.f64 x 3) x)
x
-inf

rewrite48.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
412×log1p-expm1-u_binary64
412×expm1-log1p-u_binary64
351×pow1_binary64
304×unpow-prod-down_binary64
237×log-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211407
Stop Event
1×node limit
Counts
1 → 20

simplify59.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
609×sqr-pow_binary64
451×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
Stop Event
1×node limit
Counts
32 → 22

prune19.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New18422
Fresh000
Picked011
Done000
Total18523
Error
0.0b
Counts
23 → 5
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
▶0.2b
(*.f64 3 (pow.f64 x 2))
0.5b
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
0.9b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
20.4b
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
Compiler

Compiled 249 to 192 computations (22.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))

series3.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

1.0ms
(*.f64 3 (pow.f64 x 2))
x
0
1.0ms
(*.f64 3 (pow.f64 x 2))
x
inf
1.0ms
(*.f64 3 (pow.f64 x 2))
x
-inf

rewrite46.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
434×log1p-expm1-u_binary64
434×expm1-log1p-u_binary64
270×unpow-prod-down_binary64
222×log-prod_binary64
133×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11237
212627
Stop Event
1×node limit
Counts
1 → 21

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
21 → 21

prune17.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh033
Picked011
Done011
Total21526
Error
0.0b
Counts
26 → 5
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
✓0.2b
(*.f64 3 (pow.f64 x 2))
▶0.5b
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
0.9b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
20.4b
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
Compiler

Compiled 234 to 169 computations (27.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
✓0.4b
(*.f64 x (sqrt.f64 3))

series12.0ms (0.5%)

Counts
2 → 24
Calls

6 calls:

6.0ms
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
x
-inf
2.0ms
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
x
0
2.0ms
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
x
inf
1.0ms
(*.f64 x (sqrt.f64 3))
x
-inf
1.0ms
(*.f64 x (sqrt.f64 3))
x
0

rewrite52.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
510×log1p-expm1-u_binary64
510×expm1-log1p-u_binary64
369×unpow-prod-down_binary64
264×log-prod_binary64
152×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
114613
2150413
Stop Event
1×node limit
Counts
2 → 69

simplify80.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
642×associate-*l*_binary64
538×sqr-pow_binary64
458×associate-*r*_binary64
453×*-commutative_binary64
328×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09216
119156
238156
395156
4384156
52092156
62205156
72403156
82599156
92830156
103137156
113768156
124243156
134862156
Stop Event
1×node limit
Counts
93 → 72

prune106.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New67572
Fresh022
Picked101
Done022
Total68977
Error
0b
Counts
77 → 9
Alt Table
StatusErrorProgram
0.7b
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
20.4b
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓0.2b
(*.f64 (*.f64 x 3) x)
1.5b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))) 2) 3) (cbrt.f64 (*.f64 3 (*.f64 x x))))
33.1b
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))
▶0.4b
(*.f64 (cbrt.f64 9) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.4b
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x x))) 2)
0.9b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
Compiler

Compiled 975 to 747 computations (23.4% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (cbrt.f64 (sqrt.f64 3)) x)
✓0.2b
(*.f64 (cbrt.f64 9) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))
✓0.4b
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2)

series755.0ms (30.7%)

Counts
3 → 36
Calls

9 calls:

105.0ms
(*.f64 (cbrt.f64 9) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))
x
0
98.0ms
(*.f64 (cbrt.f64 (sqrt.f64 3)) x)
x
0
97.0ms
(*.f64 (cbrt.f64 9) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))
x
inf
96.0ms
(*.f64 (cbrt.f64 9) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))
x
-inf
93.0ms
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) x) 2)
x
0

rewrite43.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
773×log1p-expm1-u_binary64
773×expm1-log1p-u_binary64
161×log1p-udef_binary64
93×add-sqr-sqrt_binary64
93×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01135
122023
2225323
Stop Event
1×node limit
Counts
3 → 56

simplify123.0ms (5%)

Algorithm
1×egg-herbie
Rules
764×sqr-pow_binary64
390×unswap-sqr_binary64
354×*-commutative_binary64
300×associate-*l*_binary64
266×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016492
137372
284372
3259372
41143372
51949372
62029372
72157372
82316372
92485372
102696372
112949372
123240372
133579372
143951372
154347372
164777372
174897372
184995372
Stop Event
1×node limit
Counts
92 → 61

prune50.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh426
Picked101
Done022
Total64670
Error
0b
Counts
70 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (cbrt.f64 3) (*.f64 x (*.f64 x (cbrt.f64 9))))
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.4b
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x x))) 2)
0.3b
(*.f64 (cbrt.f64 9) (*.f64 (pow.f64 3 1/6) (*.f64 x (*.f64 (pow.f64 3 1/6) x))))
✓0.2b
(*.f64 (*.f64 x 3) x)
20.4b
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
Compiler

Compiled 794 to 642 computations (19.1% saved)

regimes52.0ms (2.1%)

Accuracy

Total 0.2b remaining (96%)

Threshold costs 0.2b (96%)

Counts
22 → 1
Compiler

Compiled 480 to 394 computations (17.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
Stop Event
1×saturated

end165.0ms (6.7%)

Stop Event
1×fuel
Compiler

Compiled 65 to 51 computations (21.5% saved)

Profiling

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