Details

Time bar (total: 4.2s)

analyze700.0ms (16.7%)

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)

sample52.0ms (1.2%)

Algorithm
1×intervals
Symmetry

(sort a1 a2)

(sort b1 b2)

Results
9.0ms256×body128valid
2.0ms57×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% 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
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
10.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶10.6b
(/.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
✓10.2b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series32.0ms (0.8%)

Counts
1 → 48
Calls

1 calls:

32.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite5.0ms (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))

simplify79.0ms (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

prune29.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New29736
Fresh000
Picked101
Done000
Total30737
Error
0.0b
Counts
37 → 7
Alt Table
StatusErrorProgram
13.3b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
10.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
11.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.7b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
9.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
▶8.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
9.6b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
Compiler

Compiled 612 to 217 computations (64.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.9b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series31.0ms (0.7%)

Counts
1 → 48
Calls

1 calls:

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

rewrite12.0ms (0.3%)

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:

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

simplify109.0ms (2.6%)

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

prune64.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New78381
Fresh156
Picked011
Done000
Total79988
Error
0b
Counts
88 → 9
Alt Table
StatusErrorProgram
13.3b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
10.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
8.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
✓8.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
▶7.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
26.0b
(*.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.6b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
10.7b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
Compiler

Compiled 1411 to 406 computations (71.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.9b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
✓4.7b
(*.f64 a1 (/.f64 a2 b2))

series43.0ms (1%)

Counts
2 → 84
Calls

2 calls:

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

rewrite17.0ms (0.4%)

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:

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

simplify117.0ms (2.8%)

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

prune71.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh167
Picked011
Done011
Total88997
Error
0b
Counts
97 → 9
Alt Table
StatusErrorProgram
13.3b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
10.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
8.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
✓8.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
▶8.1b
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
✓7.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
26.0b
(*.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.6b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
Compiler

Compiled 1350 to 424 computations (68.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.9b
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
✓4.9b
(/.f64 (*.f64 a1 a2) b2)

series41.0ms (1%)

Counts
2 → 48
Calls

2 calls:

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

rewrite11.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
36×times-frac_binary64
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
Counts
2 → 73
Calls

2 calls:

5.0ms
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
3.0ms
(/.f64 (*.f64 a1 a2) b2)

simplify95.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
814×associate-/l*_binary64
599×associate-/l/_binary64
356×associate-/r*_binary64
345×associate-*l/_binary64
279×associate-/r/_binary64
Counts
121 → 103
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281639
13031510
29471510
340271510
443711510
547991510
649641510

prune65.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done022
Total1039112
Error
0b
Counts
112 → 9
Alt Table
StatusErrorProgram
13.3b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
10.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
8.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.4b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
✓8.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
✓8.1b
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
✓7.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
26.0b
(*.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))
9.6b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
Compiler

Compiled 1505 to 399 computations (73.5% saved)

regimes1.4s (34.3%)

Accuracy

Total 2.3b remaining (98.9%)

Threshold costs 0b (0%)

Counts
80 → 5
Compiler

Compiled 10616 to 5907 computations (44.4% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034134
137134
237134

end34.0ms (0.8%)

Compiler

Compiled 465 to 150 computations (67.7% saved)

sample1.1s (26.4%)

Algorithm
1×intervals
Results
330.0ms8000×body128valid
107.0ms1749×body128invalid
Compiler

Compiled 239 to 112 computations (53.1% saved)

Profiling

Loading profile data...