Details

Time bar (total: 3.8s)

analyze833.0ms (22.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (29.6%)

Symmetry

(sort a1 a2)

(sort b1 b2)

Results
859.0ms8256×body128valid
210.0ms1977×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×associate-/l*_binary64
9×associate-*r/_binary64
9×associate-/r/_binary64
7×*-commutative_binary64
6×associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11710
23810
36310
46910
56810
66810

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶13.6b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series28.0ms (0.8%)

Counts
1 → 48
Calls

1 calls:

28.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite52.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
237×pow2_binary64
170×pow1/3_binary64
161×expm1-udef_binary64
161×log1p-udef_binary64
Counts
1 → 60
Calls

1 calls:

51.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2244510
3500410

simplify20.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
14×associate-/l*_binary64
9×associate-*r/_binary64
9×associate-/r/_binary64
7×*-commutative_binary64
6×associate-/r*_binary64
Counts
108 → 61
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08480
117480
238480
363480
469480
568480
668480

prune47.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862
Error
0.0b
Counts
62 → 8
Alt Table
StatusErrorProgram
13.7b
(*.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))
13.5b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
14.3b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
▶11.0b
(*.f64 (/.f64 a1 (*.f64 b1 b2)) a2)
38.4b
(*.f64 (/.f64 a1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))))
11.7b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
11.4b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.9b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
Compiler

Compiled 939 to 349 computations (62.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.7b
(*.f64 (/.f64 a1 (*.f64 b1 b2)) a2)
✓6.5b
(/.f64 a1 (*.f64 b1 b2))

series43.0ms (1.2%)

Counts
2 → 84
Calls

2 calls:

27.0ms
(*.f64 (/.f64 a1 (*.f64 b1 b2)) a2)
16.0ms
(/.f64 a1 (*.f64 b1 b2))

rewrite61.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
79×add-log-exp_binary64
78×add-cube-cbrt_binary64
Counts
2 → 71
Calls

2 calls:

59.0ms
(*.f64 (/.f64 a1 (*.f64 b1 b2)) a2)
59.0ms
(/.f64 a1 (*.f64 b1 b2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116617
2222917
3542717

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
14×associate-/l*_binary64
9×associate-/r/_binary64
8×associate-*r/_binary64
7×*-commutative_binary64
6×associate-/r*_binary64
Counts
155 → 74
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
119732
240732
363732
469732
568732
668732

prune69.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh257
Picked101
Done000
Total74882
Error
0b
Counts
82 → 8
Alt Table
StatusErrorProgram
10.4b
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
13.7b
(*.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))
14.3b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
13.4b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
▶9.9b
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
11.7b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
11.4b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.9b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
Compiler

Compiled 982 to 390 computations (60.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.7b
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
✓6.2b
(*.f64 (/.f64 1 b1) (/.f64 a1 b2))

series64.0ms (1.7%)

Counts
2 → 84
Calls

2 calls:

48.0ms
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
16.0ms
(*.f64 (/.f64 1 b1) (/.f64 a1 b2))

rewrite88.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
565×log-prod_binary64
296×prod-diff_binary64
185×expm1-udef_binary64
185×log1p-udef_binary64
175×pow3_binary64
Counts
2 → 84
Calls

2 calls:

86.0ms
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
86.0ms
(*.f64 (/.f64 1 b1) (/.f64 a1 b2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
120817
2268417
3496517
4556817

simplify28.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
14×associate-/l*_binary64
9×associate-/r/_binary64
8×associate-*r/_binary64
7×*-commutative_binary64
6×associate-/r*_binary64
Counts
168 → 87
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
119732
240732
363732
469732
568732
668732

prune52.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh077
Picked011
Done000
Total87895
Error
0b
Counts
95 → 8
Alt Table
StatusErrorProgram
▶10.4b
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
13.7b
(*.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))
14.3b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
13.4b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
✓9.9b
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
11.7b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
11.4b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.9b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
Compiler

Compiled 1093 to 447 computations (59.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.3b
(*.f64 (/.f64 a1 b1) a2)
✓6.7b
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)

series42.0ms (1.1%)

Counts
2 → 84
Calls

2 calls:

30.0ms
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
11.0ms
(*.f64 (/.f64 a1 b1) a2)

rewrite62.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
242×pow2_binary64
172×pow1/3_binary64
165×expm1-udef_binary64
165×log1p-udef_binary64
Counts
2 → 82
Calls

2 calls:

60.0ms
(*.f64 (/.f64 a1 b1) a2)
60.0ms
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117217
2243617
3499217

simplify25.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
14×associate-/l*_binary64
10×associate-/r/_binary64
7×associate-*r/_binary64
6×*-commutative_binary64
6×associate-/r*_binary64
Counts
166 → 83
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
120732
243732
366732
468732
568732

prune46.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh156
Picked011
Done011
Total83891
Error
0b
Counts
91 → 8
Alt Table
StatusErrorProgram
✓10.4b
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
13.7b
(*.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))
10.3b
(/.f64 (/.f64 a2 (/.f64 b1 a1)) b2)
11.4b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
14.3b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
✓9.9b
(*.f64 (*.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
11.7b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
13.9b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
Compiler

Compiled 1059 to 375 computations (64.6% saved)

regimes610.0ms (16.3%)

Accuracy

Total 2.8b remaining (99.4%)

Threshold costs 0b (0%)

Counts
31 → 5
Compiler

Compiled 3299 to 2103 computations (36.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029110
131110
231110

end401.0ms (10.7%)

Compiler

Compiled 570 to 214 computations (62.5% saved)

Profiling

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