Details

Time bar (total: 1.8s)

analyze39.0ms (2.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample924.0ms (51.7%)

Results
787.0ms8256×body128valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify73.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
457×times-frac_binary64
316×div-sub_binary64
141×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
37112
415212
520712
659710
793710
8131410
9133710
10134210
11136910
12137910
13137910
14127410

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite67.0ms (3.7%)

Algorithm
2×batch-egg-rewrite
Rules
35×egg-rr
Counts
1 → 35
Calls

2 calls:

66.0ms
((/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114310
2214610
3525310
000
100

simplify90.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
838×fma-neg_binary64
821×associate-/l*_binary64
515×associate-/r*_binary64
386×associate-/r/_binary64
251×cancel-sign-sub-inv_binary64
Counts
59 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035426
1110393
2368342
31432324
44696324
55368324

prune29.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450
Error
0b
Counts
50 → 4
Alt Table
StatusErrorProgram
27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
35.8b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 704 to 299 computations (57.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.0b
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series75.0ms (4.2%)

Counts
2 → 48
Calls

2 calls:

58.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
17.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite91.0ms (5.1%)

Algorithm
2×batch-egg-rewrite
Rules
91×egg-rr
Counts
2 → 91
Calls

2 calls:

89.0ms
((pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119223
2262523
3478223
4500423
000
100

simplify68.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
682×fma-neg_binary64
389×distribute-neg-frac_binary64
342×fma-def_binary64
330×times-frac_binary64
258×associate-/l*_binary64
Counts
139 → 125
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075905
1249840
2867761
33593743
44938743
55028743

prune103.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh022
Picked011
Done011
Total1744178
Error
0b
Counts
178 → 4
Alt Table
StatusErrorProgram
▶27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
35.8b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 2751 to 1174 computations (57.3% saved)

localize4.0ms (0.2%)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶35.8b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 45 to 31 computations (31.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (/.f64 n f) -2 -1)

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(fma.f64 (/.f64 n f) -2 -1)

rewrite42.0ms (2.3%)

Algorithm
2×batch-egg-rewrite
Rules
26×egg-rr
Counts
1 → 26
Calls

2 calls:

41.0ms
((fma.f64 (/.f64 n f) -2 -1))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
216228
350038
000
100

simplify27.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
111×fma-def_binary64
55×fma-neg_binary64
22×sub-neg_binary64
16×*-commutative_binary64
14×associate-/l*_binary64
Counts
50 → 31
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012240
126204
252168
384168
4117168
5148168
6187168
7200168
8219168
9224168
10228168
11226168
12186168

prune23.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh000
Picked011
Done033
Total31435
Error
0b
Counts
35 → 4
Alt Table
StatusErrorProgram
✓27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓35.8b
(fma.f64 (/.f64 n f) -2 -1)
Compiler

Compiled 372 to 239 computations (35.8% saved)

regimes40.0ms (2.3%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts
16 → 1
Compiler

Compiled 392 to 296 computations (24.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
5×sub-neg_binary64
4×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11812
22912
33712
44012
54012

end54.0ms (3%)

Compiler

Compiled 57 to 37 computations (35.1% saved)

Profiling

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