Details

Time bar (total: 1.6s)

analyze4.0ms (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)

sample700.0ms (44%)

Results
672.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify28.0ms (1.7%)

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

Compiled 44 to 32 computations (27.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(fma.f64 (/.f64 x 6) x -1/2)

rewrite33.0ms (2.1%)

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
Calls

1 calls:

32.0ms
(fma.f64 (/.f64 x 6) x -1/2)

simplify56.0ms (3.5%)

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

prune27.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh011
Picked011
Done000
Total36440
Error
0.0b
Counts
40 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)
46.4b
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
▶0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
Compiler

Compiled 519 to 402 computations (22.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(/.f64 x (/.f64 6 x))

rewrite33.0ms (2.1%)

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
Calls

1 calls:

32.0ms
(/.f64 x (/.f64 6 x))

simplify55.0ms (3.4%)

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

prune34.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New48149
Fresh112
Picked011
Done011
Total49453
Error
0b
Counts
53 → 4
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
▶33.3b
(+.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x))))
46.4b
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
Compiler

Compiled 640 to 475 computations (25.8% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
✓0.1b
(/.f64 (sqrt.f64 x) (/.f64 1 x))
✓0.1b
(/.f64 (sqrt.f64 x) 6)

series15.0ms (1%)

Counts
3 → 8
Calls

3 calls:

5.0ms
(/.f64 (sqrt.f64 x) 6)
5.0ms
(/.f64 (sqrt.f64 x) (/.f64 1 x))
4.0ms
(*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))

rewrite50.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
871×log1p-expm1-u_binary64
871×expm1-log1p-u_binary64
113×egg-rr
91×add-sqr-sqrt_binary64
88×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
120017
2259817
Stop Event
1×node limit
Counts
3 → 113
Calls

3 calls:

49.0ms
(*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
49.0ms
(/.f64 (sqrt.f64 x) (/.f64 1 x))
49.0ms
(/.f64 (sqrt.f64 x) 6)

simplify54.0ms (3.4%)

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
0656
11256
22356
34456
410756
533656
6123756
7211356
8227756
9246156
10266956
11296056
12335356
13383356
14439656
Stop Event
1×node limit
Counts
121 → 115

prune76.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done022
Total1154119
Error
0b
Counts
119 → 4
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
✓33.3b
(+.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x))))
▶46.4b
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
Compiler

Compiled 1560 to 1078 computations (30.9% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2))
✓0.1b
(fma.f64 x (/.f64 x 6) -1/2)
✓0.2b
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)

series27.0ms (1.7%)

Counts
3 → 36
Calls

3 calls:

20.0ms
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)
4.0ms
(sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2))
2.0ms
(fma.f64 x (/.f64 x 6) -1/2)

rewrite48.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
688×log1p-expm1-u_binary64
688×expm1-log1p-u_binary64
139×expm1-udef_binary64
139×log1p-udef_binary64
116×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
119426
2192626
Stop Event
1×node limit
Counts
3 → 86
Calls

3 calls:

46.0ms
(sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2))
46.0ms
(fma.f64 x (/.f64 x 6) -1/2)
46.0ms
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)

simplify34.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
842×associate-/l*_binary64
641×fma-def_binary64
315×cancel-sign-sub-inv_binary64
268×associate-/l/_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064609
1196473
2555463
32160455
Stop Event
1×node limit
Counts
122 → 95

prune56.0ms (3.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499
Error
0b
Counts
99 → 4
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
✓33.3b
(+.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x))))
✓46.4b
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x 6) -1/2)) 2)
✓0.1b
(fma.f64 (/.f64 x 6) x -1/2)
Compiler

Compiled 1380 to 1115 computations (19.2% saved)

regimes174.0ms (11%)

Accuracy

Total 0.1b remaining (81.2%)

Threshold costs 0.1b (81.2%)

Counts
58 → 1
Compiler

Compiled 2543 to 2007 computations (21.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
1×saturated

end56.0ms (3.5%)

Compiler

Compiled 53 to 39 computations (26.4% saved)

Profiling

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