Details

Time bar (total: 1.3s)

analyze3.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample741.0ms (55.3%)

Results
727.0ms8256×body128valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess15.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
3×fma-neg_binary64
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1158
2218
3248
4268
5278
011
Stop Event
1×saturated
1×saturated
Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
3×fma-neg_binary64
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1158
2218
3248
4268
5278
Stop Event
1×saturated
Counts
1 → 2

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
▶0.1b
(fma.f64 (/.f64 x 6) x -1/2)
0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 44 to 32 computations (27.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)

series2.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

1.0ms
(fma.f64 (/.f64 x 6) x -1/2)
x
-inf
1.0ms
(fma.f64 (/.f64 x 6) x -1/2)
x
inf
1.0ms
(fma.f64 (/.f64 x 6) x -1/2)
x
0

rewrite31.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
553×log1p-expm1-u_binary64
553×expm1-log1p-u_binary64
273×unpow-prod-down_binary64
246×log-prod_binary64
156×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
214888
Stop Event
1×node limit
Counts
1 → 33

simplify56.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
608×sqr-pow_binary64
441×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
276×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0987
11887
23087
35487
411787
534687
6121187
7210887
8227287
9245687
10266487
11295887
12335187
13382987
14439087
Stop Event
1×node limit
Counts
45 → 38

prune24.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh101
Picked011
Done000
Total37340
Error
0.0b
Counts
40 → 3
Alt Table
StatusErrorProgram
▶0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)
Compiler

Compiled 497 to 384 computations (22.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 x (/.f64 6 x))

series19.0ms (1.4%)

Counts
1 → 12
Calls

3 calls:

17.0ms
(/.f64 x (/.f64 6 x))
x
0
1.0ms
(/.f64 x (/.f64 6 x))
x
inf
1.0ms
(/.f64 x (/.f64 6 x))
x
-inf

rewrite33.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
546×log1p-expm1-u_binary64
546×expm1-log1p-u_binary64
279×log-prod_binary64
141×pow2_binary64
99×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
215147
Stop Event
1×node limit
Counts
1 → 47

simplify55.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
607×sqr-pow_binary64
445×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
273×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410784
533684
6123784
7211384
8227784
9246184
10266984
11296084
12335384
13383384
14439684
Stop Event
1×node limit
Counts
59 → 49

prune31.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New48149
Fresh101
Picked011
Done011
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
▶0.1b
(+.f64 -1/2 (*.f64 1/6 (/.f64 x (/.f64 1 x))))
Compiler

Compiled 612 to 455 computations (25.7% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 x (/.f64 1 x))
✓0.3b
(*.f64 1/6 (/.f64 x (/.f64 1 x)))

series4.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

1.0ms
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
x
0
1.0ms
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
x
-inf
1.0ms
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
x
inf
1.0ms
(/.f64 x (/.f64 1 x))
x
-inf
1.0ms
(/.f64 x (/.f64 1 x))
x
inf

rewrite39.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
593×log1p-expm1-u_binary64
593×expm1-log1p-u_binary64
303×log-prod_binary64
112×expm1-udef_binary64
112×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
114711
2172711
Stop Event
1×node limit
Counts
2 → 62

simplify57.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
607×sqr-pow_binary64
445×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
273×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06132
112132
223132
344132
4107132
5336132
61237132
72113132
82277132
92461132
102669132
112960132
123353132
133833132
144396132
Stop Event
1×node limit
Counts
86 → 64

prune41.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367
Error
0b
Counts
67 → 3
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
✓0.1b
(+.f64 -1/2 (*.f64 1/6 (/.f64 x (/.f64 1 x))))
Compiler

Compiled 769 to 580 computations (24.6% saved)

regimes56.0ms (4.2%)

Accuracy

Total 0.1b remaining (82.8%)

Threshold costs 0.1b (82.8%)

Counts
12 → 1
Compiler

Compiled 471 to 361 computations (23.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
1×saturated

end106.0ms (7.9%)

Stop Event
1×done
Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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