Details

Time bar (total: 3.5s)

analyze797.0ms (22.7%)

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 (32%)

Symmetry

(sort a1 a2)

(sort b1 b2)

Results
873.0ms8256×body128valid
212.0ms1849×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify10.0ms (0.3%)

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
36310
46910
56810
66810
Stop Event
1×saturated
Counts
1 → 1

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶13.3b
(/.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
✓12.8b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series24.0ms (0.7%)

Counts
1 → 48
Calls

1 calls:

24.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite45.0ms (1.3%)

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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2244510
3500410
Stop Event
1×node limit
Counts
1 → 59
Calls

1 calls:

44.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify21.0ms (0.6%)

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
363480
469480
568480
668480
Stop Event
1×saturated
Counts
107 → 60

prune44.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New51960
Fresh000
Picked101
Done000
Total52961
Error
0.0b
Counts
61 → 9
Alt Table
StatusErrorProgram
13.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))
12.0b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
12.5b
(*.f64 (/.f64 a2 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a1 (cbrt.f64 (*.f64 b1 b2))))
▶9.9b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
12.1b
(*.f64 (/.f64 (*.f64 a1 a2) b1) (/.f64 1 b2))
11.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.8b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
15.1b
(*.f64 a2 (*.f64 a1 (/.f64 1 (*.f64 b1 b2))))
10.7b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
Compiler

Compiled 992 to 389 computations (60.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.7b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

series26.0ms (0.7%)

Counts
1 → 48
Calls

1 calls:

26.0ms
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

rewrite45.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
521×log-prod_binary64
250×pow2_binary64
178×pow1/3_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117510
2251010
3511510
Stop Event
1×node limit
Counts
1 → 64
Calls

1 calls:

44.0ms
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

simplify17.0ms (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
363480
469480
568480
668480
Stop Event
1×saturated
Counts
112 → 64

prune47.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh358
Picked101
Done000
Total64973
Error
0b
Counts
73 → 9
Alt Table
StatusErrorProgram
10.1b
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
11.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
12.0b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
12.5b
(*.f64 (/.f64 a2 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a1 (cbrt.f64 (*.f64 b1 b2))))
12.9b
(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))
10.2b
(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
▶9.9b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
12.1b
(*.f64 (/.f64 (*.f64 a1 a2) b1) (/.f64 1 b2))
10.7b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
Compiler

Compiled 856 to 345 computations (59.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.6b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
✓5.6b
(/.f64 b2 (/.f64 a2 b1))

series37.0ms (1.1%)

Counts
2 → 84
Calls

2 calls:

27.0ms
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
10.0ms
(/.f64 b2 (/.f64 a2 b1))

rewrite48.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
572×log-prod_binary64
179×log-div_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
160×pow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117817
2263417
3505317
Stop Event
1×node limit
Counts
2 → 98
Calls

2 calls:

46.0ms
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
46.0ms
(/.f64 b2 (/.f64 a2 b1))

simplify24.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
118732
239732
362732
469732
568732
668732
Stop Event
1×saturated
Counts
182 → 101

prune59.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh178
Picked011
Done000
Total1019110
Error
0b
Counts
110 → 9
Alt Table
StatusErrorProgram
▶10.1b
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
11.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
10.6b
(/.f64 a1 (pow.f64 (cbrt.f64 (/.f64 b2 (/.f64 a2 b1))) 3))
12.0b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
12.9b
(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))
10.2b
(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
✓9.9b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
12.1b
(*.f64 (/.f64 (*.f64 a1 a2) b1) (/.f64 1 b2))
10.7b
(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
Compiler

Compiled 1418 to 509 computations (64.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.6b
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
✓5.8b
(*.f64 b2 (/.f64 b1 a2))

series35.0ms (1%)

Counts
2 → 84
Calls

2 calls:

24.0ms
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
11.0ms
(*.f64 b2 (/.f64 b1 a2))

rewrite68.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
258×prod-diff_binary64
242×pow2_binary64
172×pow1/3_binary64
165×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117217
2242717
3498217
4554117
Stop Event
1×node limit
Counts
2 → 79
Calls

2 calls:

66.0ms
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
66.0ms
(*.f64 b2 (/.f64 b1 a2))

simplify24.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09732
118732
239732
362732
469732
568732
668732
Stop Event
1×saturated
Counts
163 → 81

prune43.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh167
Picked011
Done011
Total81990
Error
0b
Counts
90 → 9
Alt Table
StatusErrorProgram
✓10.1b
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
11.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.3b
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
10.6b
(/.f64 a1 (pow.f64 (cbrt.f64 (/.f64 b2 (/.f64 a2 b1))) 3))
12.0b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
12.9b
(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))
10.2b
(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
✓9.9b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
12.1b
(*.f64 (/.f64 (*.f64 a1 a2) b1) (/.f64 1 b2))
Compiler

Compiled 1033 to 361 computations (65.1% saved)

regimes587.0ms (16.7%)

Accuracy

Total 2.9b remaining (99.6%)

Threshold costs 0b (0%)

Counts
32 → 5
Compiler

Compiled 3530 to 2232 computations (36.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032110
134110
234110
Stop Event
1×saturated

end363.0ms (10.3%)

Compiler

Compiled 580 to 238 computations (59% saved)

Profiling

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