Details

Time bar (total: 3.7s)

analyze790.0ms (21.6%)

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
851.0ms8256×body128valid
189.0ms1801×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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11710
23810
36710
47910
57910
Stop Event
1×saturated
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
7.5b
Counts
3 → 2
Alt Table
StatusErrorProgram
12.0b
(*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))
▶11.6b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 62 to 37 computations (40.3% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓11.3b
(/.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))

rewrite42.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
237×pow2_binary64
170×pow1/3_binary64
161×expm1-udef_binary64
161×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2252310
Stop Event
1×node limit
Counts
1 → 59
Calls

1 calls:

41.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify19.0ms (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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08480
117480
238480
367480
479480
579480
Stop Event
1×saturated
Counts
107 → 61

prune49.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New52961
Fresh101
Picked011
Done000
Total531063
Error
0.0b
Counts
63 → 10
Alt Table
StatusErrorProgram
30.3b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
11.8b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
11.8b
(*.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))
12.8b
(*.f64 (/.f64 a1 (*.f64 b1 b2)) a2)
10.4b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
▶9.8b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
13.7b
(*.f64 (/.f64 (*.f64 a1 a2) b1) (/.f64 1 b2))
12.8b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
✓11.6b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
12.1b
(*.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))
Compiler

Compiled 982 to 384 computations (60.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.6b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

series29.0ms (0.8%)

Counts
1 → 48
Calls

1 calls:

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

rewrite43.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
521×log-prod_binary64
178×pow1/3_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
165×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117510
2260310
Stop Event
1×node limit
Counts
1 → 64
Calls

1 calls:

42.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

simplify19.0ms (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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08480
117480
238480
367480
479480
579480
Stop Event
1×saturated
Counts
112 → 66

prune52.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh538
Picked011
Done101
Total68876
Error
0b
Counts
76 → 8
Alt Table
StatusErrorProgram
12.8b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
10.5b
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))
30.3b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
11.8b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
✓9.8b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
11.6b
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
▶8.8b
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)
11.6b
(/.f64 (*.f64 a2 a1) (*.f64 b1 b2))
Compiler

Compiled 827 to 318 computations (61.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.6b
(*.f64 a2 (/.f64 a1 b2))
✓5.2b
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)

series36.0ms (1%)

Counts
2 → 84
Calls

2 calls:

25.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)
11.0ms
(*.f64 a2 (/.f64 a1 b2))

rewrite48.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
525×log-prod_binary64
242×pow2_binary64
172×pow1/3_binary64
165×expm1-udef_binary64
165×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117217
2252117
Stop Event
1×node limit
Counts
2 → 78
Calls

2 calls:

47.0ms
(*.f64 a2 (/.f64 a1 b2))
47.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)

simplify24.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
13×associate-/l*_binary64
9×associate-/r/_binary64
8×associate-*r/_binary64
7×*-commutative_binary64
7×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
119732
239732
367732
478732
578732
Stop Event
1×saturated
Counts
162 → 82

prune47.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh156
Picked011
Done011
Total82890
Error
0b
Counts
90 → 8
Alt Table
StatusErrorProgram
10.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
✓8.8b
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)
30.3b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
11.8b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
✓9.8b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
▶10.5b
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))
11.6b
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
11.6b
(/.f64 (*.f64 a2 a1) (*.f64 b1 b2))
Compiler

Compiled 1118 to 430 computations (61.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.8b
(*.f64 b1 (/.f64 b2 a1))
✓7.2b
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

series40.0ms (1.1%)

Counts
2 → 84
Calls

2 calls:

29.0ms
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))
11.0ms
(*.f64 b1 (/.f64 b2 a1))

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
242×pow2_binary64
172×pow1/3_binary64
165×expm1-udef_binary64
165×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117217
2250917
Stop Event
1×node limit
Counts
2 → 79
Calls

2 calls:

52.0ms
(*.f64 b1 (/.f64 b2 a1))
52.0ms
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

simplify23.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
120732
241732
369732
479732
Stop Event
1×saturated
Counts
163 → 83

prune46.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh235
Picked011
Done022
Total84791
Error
0b
Counts
91 → 7
Alt Table
StatusErrorProgram
10.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
✓8.8b
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)
11.5b
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
✓9.8b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
✓10.5b
(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))
11.6b
(/.f64 (*.f64 a2 a1) (*.f64 b1 b2))
11.8b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
Compiler

Compiled 1020 to 360 computations (64.7% saved)

regimes772.0ms (21.1%)

Accuracy

Total 2.4b remaining (99.1%)

Threshold costs 0b (0%)

Counts
47 → 5
Compiler

Compiled 4835 to 3042 computations (37.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032110
138110
Stop Event
1×saturated

end376.0ms (10.3%)

Compiler

Compiled 553 to 219 computations (60.4% saved)

Profiling

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