Details

Time bar (total: 3.1s)

analyze730.0ms (23.3%)

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)

sample51.0ms (1.6%)

Algorithm
1×intervals
Symmetry

(sort a1 a2)

(sort b1 b2)

Results
11.0ms256×body128valid
2.0ms66×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (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
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11710
23810
36310
46910
56810
66810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶12.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓11.9b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series30.0ms (0.9%)

Counts
1 → 48
Calls

1 calls:

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

rewrite10.0ms (0.3%)

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))

simplify92.0ms (2.9%)

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

prune31.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Error
0.0b
Counts
37 → 7
Alt Table
StatusErrorProgram
12.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.6b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
▶10.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
11.6b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
12.1b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
12.8b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
✓12.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 597 to 206 computations (65.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓10.4b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series30.0ms (1%)

Counts
1 → 48
Calls

1 calls:

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

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×times-frac_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
1 → 52
Calls

1 calls:

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

simplify127.0ms (4%)

Algorithm
1×egg-herbie
Rules
648×associate-*l/_binary64
573×associate-*r/_binary64
489×associate-*l*_binary64
469×associate-/l*_binary64
389×associate-*r*_binary64
Counts
100 → 81
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01131295
13081187
29601187
338071187
440461187
546341187
649401187
749561187
849761187

prune51.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New77481
Fresh235
Picked011
Done101
Total80888
Error
0b
Counts
88 → 8
Alt Table
StatusErrorProgram
12.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.6b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
23.2b
(*.f64 (/.f64 (/.f64 a1 b1) (sqrt.f64 b2)) (/.f64 a2 (sqrt.f64 b2)))
12.6b
(*.f64 a1 (/.f64 a2 (*.f64 b2 b1)))
✓10.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
▶10.3b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
12.8b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
23.2b
(*.f64 (*.f64 (/.f64 a1 b1) (/.f64 1 (sqrt.f64 b2))) (/.f64 a2 (sqrt.f64 b2)))
Compiler

Compiled 1347 to 390 computations (71% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.0b
(*.f64 a1 (/.f64 a2 b2))
✓6.3b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

series49.0ms (1.6%)

Counts
2 → 84
Calls

2 calls:

35.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
14.0ms
(*.f64 a1 (/.f64 a2 b2))

rewrite14.0ms (0.5%)

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:

6.0ms
(*.f64 a1 (/.f64 a2 b2))
5.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

simplify133.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
903×times-frac_binary64
544×associate-/l/_binary64
424×associate-*l*_binary64
342×associate-*r*_binary64
284×associate-/r/_binary64
Counts
144 → 88
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01111520
12661391
210331391
341171391
444921391
549021391
649951391
749571391

prune56.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh156
Picked011
Done011
Total88896
Error
0b
Counts
96 → 8
Alt Table
StatusErrorProgram
12.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.6b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
✓10.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
▶10.3b
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
✓10.3b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
12.8b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
12.6b
(*.f64 a1 (/.f64 a2 (*.f64 b2 b1)))
23.2b
(*.f64 (*.f64 (/.f64 a1 b1) (/.f64 1 (sqrt.f64 b2))) (/.f64 a2 (sqrt.f64 b2)))
Compiler

Compiled 1286 to 412 computations (68% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.0b
(*.f64 a1 (/.f64 a2 b2))
✓6.4b
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))

series31.0ms (1%)

Counts
1 → 48
Calls

1 calls:

31.0ms
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))

rewrite14.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
40×add-exp-log_binary64
22×add-cbrt-cube_binary64
20×prod-exp_binary64
13×associate-*r*_binary64
10×cbrt-unprod_binary64
Counts
1 → 48
Calls

1 calls:

8.0ms
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))

simplify99.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
593×associate-*l/_binary64
557×associate-*r/_binary64
323×associate-/l*_binary64
269×sqr-pow_binary64
238×fma-neg_binary64
Counts
96 → 65
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0891184
12221034
27871034
330741034
434601034
542991034
648191034
750201034

prune63.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh055
Picked011
Done022
Total1138121
Error
0b
Counts
121 → 8
Alt Table
StatusErrorProgram
12.2b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
12.6b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
✓10.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
✓10.3b
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
✓10.3b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
12.8b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
12.6b
(*.f64 a1 (/.f64 a2 (*.f64 b2 b1)))
23.2b
(*.f64 (*.f64 (/.f64 a1 b1) (/.f64 1 (sqrt.f64 b2))) (/.f64 a2 (sqrt.f64 b2)))
Compiler

Compiled 1799 to 715 computations (60.3% saved)

regimes510.0ms (16.3%)

Accuracy

Total 2.8b remaining (99.1%)

Threshold costs 0b (0%)

Counts
34 → 5
Compiler

Compiled 4477 to 2526 computations (43.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×if-if-or-not_binary64
1×if-not_binary64
1×not-not_bool
1×not-or_bool
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028102
13394
23694
33992
43992
54092
64092

end27.0ms (0.9%)

Remove

(sort a1 a2)

Compiler

Compiled 462 to 175 computations (62.1% saved)

sample929.0ms (29.6%)

Algorithm
1×intervals
Results
302.0ms8000×body128valid
69.0ms1855×body128invalid
Compiler

Compiled 180 to 101 computations (43.9% saved)

Profiling

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