Details

Time bar (total: 4.7s)

analyze926.0ms (19.7%)

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)

sample49.0ms (1%)

Algorithm
1×intervals
Symmetry

(sort a1 a2)

(sort b1 b2)

Results
8.0ms256×body128valid
2.0ms51×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify7.0ms (0.1%)

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
10.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓10.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series29.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

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

rewrite6.0ms (0.1%)

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

1 calls:

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

simplify89.0ms (1.9%)

Algorithm
1×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

prune34.0ms (0.7%)

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
▶10.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
11.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.7b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
10.4b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
12.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
28.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))
✓10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 639 to 224 computations (64.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.2b
(*.f64 a2 (/.f64 a1 b1))
✓6.0b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series46.0ms (1%)

Counts
2 → 84
Calls

2 calls:

33.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
13.0ms
(*.f64 a2 (/.f64 a1 b1))

rewrite15.0ms (0.3%)

Algorithm
1×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:

8.0ms
(*.f64 a2 (/.f64 a1 b1))
5.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

simplify98.0ms (2.1%)

Algorithm
1×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

prune60.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New85590
Fresh246
Picked011
Done011
Total871198
Error
0b
Counts
98 → 11
Alt Table
StatusErrorProgram
✓10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
54.8b
(/.f64 (*.f64 (*.f64 a2 (/.f64 1 (sqrt.f64 b1))) (/.f64 a1 (sqrt.f64 b1))) b2)
11.9b
(*.f64 (/.f64 a2 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)))
✓10.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
11.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.7b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
28.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))
23.3b
(/.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) (sqrt.f64 b2)) (sqrt.f64 b2))
▶10.4b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
10.5b
(*.f64 (/.f64 a2 1) (/.f64 (/.f64 a1 b1) b2))
Compiler

Compiled 1406 to 470 computations (66.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.2b
(/.f64 b2 (/.f64 a1 b1))
✓6.5b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

series43.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

29.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
14.0ms
(/.f64 b2 (/.f64 a1 b1))

rewrite45.0ms (1%)

Algorithm
1×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))

simplify301.0ms (6.4%)

Algorithm
1×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

prune259.0ms (5.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4463449
Fresh628
Picked101
Done022
Total4537460
Error
0b
Counts
460 → 7
Alt Table
StatusErrorProgram
✓10.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
11.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
11.0b
(*.f64 (/.f64 1 (/.f64 1 a1)) (/.f64 a2 (/.f64 b2 (/.f64 1 b1))))
✓10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
▶10.8b
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
12.3b
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
Compiler

Compiled 8411 to 1798 computations (78.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.9b
(*.f64 b2 (/.f64 b1 a1))
✓6.5b
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

series41.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

29.0ms
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
12.0ms
(*.f64 b2 (/.f64 b1 a1))

rewrite88.0ms (1.9%)

Algorithm
1×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:

80.0ms
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
5.0ms
(*.f64 b2 (/.f64 b1 a1))

simplify96.0ms (2%)

Algorithm
1×egg-herbie
Rules
910×times-frac_binary64
510×associate-/l*_binary64
365×associate-/r*_binary64
326×associate-/r/_binary64
295×associate-*l/_binary64
Counts
144 → 86
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01101527
12591398
29091395
338541395
441271395
547611395
650331395

prune44.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh134
Picked011
Done022
Total86793
Error
0b
Counts
93 → 7
Alt Table
StatusErrorProgram
✓10.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
11.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
10.9b
(*.f64 (/.f64 a2 (*.f64 b2 b1)) a1)
✓10.8b
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
12.3b
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
Compiler

Compiled 1173 to 344 computations (70.7% saved)

regimes1.1s (23.3%)

Accuracy

Total 2.4b remaining (99.5%)

Threshold costs 0b (0%)

Counts
59 → 5
Compiler

Compiled 6606 to 4084 computations (38.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
1×/-rgt-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033122
139122
238122

end38.0ms (0.8%)

Compiler

Compiled 430 to 145 computations (66.3% saved)

sample1.3s (26.9%)

Algorithm
1×intervals
Results
283.0ms8000×body128valid
70.0ms1884×body128invalid
Compiler

Compiled 179 to 90 computations (49.7% saved)

Profiling

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