Details

Time bar (total: 4.5s)

analyze920.0ms (20.5%)

Algorithm
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)

sample75.0ms (1.7%)

Algorithm
intervals
Symmetry

(sort a1 a2)

(sort b1 b2)

Results
9.0ms256×body128valid
2.0ms70×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
associate-*r/_binary64
associate-/r/_binary64
*-commutative_binary64
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
13.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
13.1b
(/.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))

series27.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

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

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
cbrt-unprod_binary64
cbrt-undiv_binary64
div-exp_binary64
Counts
1 → 23
Calls

1 calls:

5.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify85.0ms (1.9%)

Algorithm
egg-herbie
Rules
579×associate-/r*_binary64
476×associate-*l*_binary64
457×associate-*l/_binary64
355×associate-*r/_binary64
344×associate-*r*_binary64
Counts
71 → 36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058859
1161754
2820754
33799754
44127754
54478754
64861754
75308754

prune27.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New29736
Fresh000
Picked011
Done000
Total29837
Error
0.0b
Counts
37 → 8
Alt Table
StatusErrorProgram
12.5b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
11.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
12.9b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
13.2b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
13.2b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
11.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.1b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
10.6b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 623 to 224 computations (64% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.8b
(*.f64 a2 (/.f64 a1 b1))
6.8b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series41.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

27.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
13.0ms
(*.f64 a2 (/.f64 a1 b1))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
13×associate-*r*_binary64
13×times-frac_binary64
Counts
2 → 60
Calls

2 calls:

5.0ms
(*.f64 a2 (/.f64 a1 b1))
4.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

simplify99.0ms (2.2%)

Algorithm
egg-herbie
Rules
863×times-frac_binary64
557×associate-*l/_binary64
519×associate-/l/_binary64
446×associate-*r/_binary64
280×associate-/r/_binary64
Counts
144 → 90
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01111520
12681391
210211391
339211391
442551391
548601391
649671391

prune51.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New87390
Fresh246
Picked101
Done101
Total91798
Error
0.0b
Counts
98 → 7
Alt Table
StatusErrorProgram
12.5b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
11.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
12.9b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
11.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
10.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
13.1b
(/.f64 (*.f64 a2 a1) (*.f64 b2 b1))
10.7b
(/.f64 1 (/.f64 b2 (*.f64 a2 (/.f64 a1 b1))))
Compiler

Compiled 1286 to 406 computations (68.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.6b
(/.f64 b2 (/.f64 a1 b1))
5.9b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

series40.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

28.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
12.0ms
(/.f64 b2 (/.f64 a1 b1))

rewrite45.0ms (1%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 270
Calls

2 calls:

9.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
4.0ms
(/.f64 b2 (/.f64 a1 b1))

simplify299.0ms (6.6%)

Algorithm
egg-herbie
Rules
566×associate-/r/_binary64
417×associate-/l/_binary64
376×associate-*l/_binary64
329×associate-*r/_binary64
327×*-commutative_binary64
Counts
354 → 449
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527123
19946901
236946898
336336898
442906898
546906898
651306898

prune225.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4472449
Fresh336
Picked011
Done000
Total4506456
Error
0b
Counts
456 → 6
Alt Table
StatusErrorProgram
12.5b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
11.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
12.9b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
11.9b
(/.f64 a2 (*.f64 (/.f64 1 a1) (*.f64 b2 b1)))
10.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
12.5b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
Compiler

Compiled 8392 to 1783 computations (78.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.2b
(/.f64 b1 (/.f64 a2 b2))
6.1b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

series42.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

30.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
12.0ms
(/.f64 b1 (/.f64 a2 b2))

rewrite45.0ms (1%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 270
Calls

2 calls:

9.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
5.0ms
(/.f64 b1 (/.f64 a2 b2))

simplify279.0ms (6.2%)

Algorithm
egg-herbie
Rules
558×associate-/r/_binary64
413×associate-/l/_binary64
375×associate-*l/_binary64
330×*-commutative_binary64
328×associate-*r/_binary64
Counts
354 → 449
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527123
19946901
236586898
335826898
442116898
546046898
650796898

prune223.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4481449
Fresh134
Picked011
Done011
Total4496455
Error
0b
Counts
455 → 6
Alt Table
StatusErrorProgram
12.5b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
11.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
11.9b
(/.f64 a2 (*.f64 (/.f64 1 a1) (*.f64 b2 b1)))
10.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
13.3b
(*.f64 a1 (/.f64 a2 (*.f64 b2 b1)))
12.5b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
Compiler

Compiled 8335 to 1746 computations (79.1% saved)

regimes811.0ms (18%)

Accuracy

Total 3.5b remaining (99.4%)

Threshold costs 0b (0%)

Counts
32 → 5
Compiler

Compiled 3729 to 2199 computations (41% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027110
131110
231110

end29.0ms (0.6%)

Compiler

Compiled 395 to 125 computations (68.4% saved)

sample1.1s (24%)

Algorithm
intervals
Results
296.0ms8000×body128valid
71.0ms1805×body128invalid
Compiler

Compiled 163 to 81 computations (50.3% saved)

Profiling

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