Details

Time bar (total: 6.9s)

analyze722.0ms (10.5%)

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 (0.7%)

Algorithm
1×intervals
Symmetry

(sort a1 a2)

(sort b1 b2)

Results
10.0ms256×body128valid
2.0ms57×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶12.6b
(/.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
✓12.1b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series28.0ms (0.4%)

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))

simplify88.0ms (1.3%)

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 (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New30636
Fresh000
Picked101
Done000
Total31637
Error
0.0b
Counts
37 → 6
Alt Table
StatusErrorProgram
11.6b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
▶10.0b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
14.8b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
14.6b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
12.9b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
13.3b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 586 to 199 computations (66% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.1b
(/.f64 (*.f64 a1 a2) b1)
✓5.4b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)

series41.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
13.0ms
(/.f64 (*.f64 a1 a2) b1)

rewrite12.0ms (0.2%)

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

simplify106.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
821×associate-/l*_binary64
608×associate-/l/_binary64
389×associate-*l/_binary64
362×associate-/r*_binary64
291×associate-*r/_binary64
Counts
121 → 100
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01271639
13041510
29671510
340381510
444101510
548421510
650181510

prune98.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New937100
Fresh325
Picked101
Done000
Total979106
Error
0b
Counts
106 → 9
Alt Table
StatusErrorProgram
10.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b1)) (cbrt.f64 (/.f64 (*.f64 a1 a2) b1))) (/.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b1)) b2))
▶10.3b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
10.7b
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
12.6b
(/.f64 (*.f64 a1 a2) (/.f64 b2 (/.f64 1 b1)))
25.6b
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 b2)) a2) (/.f64 (/.f64 1 (sqrt.f64 b2)) b1))
14.8b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.7b
(/.f64 (/.f64 a1 (/.f64 b1 a2)) b2)
13.3b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
11.1b
(/.f64 (/.f64 a1 1) (/.f64 b2 (/.f64 a2 b1)))
Compiler

Compiled 1602 to 473 computations (70.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
5.1b
(/.f64 (*.f64 a1 a2) b1)
✓5.3b
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))

series63.0ms (0.9%)

Counts
2 → 96
Calls

2 calls:

33.0ms
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
30.0ms
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))

rewrite33.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
231×times-frac_binary64
101×*-un-lft-identity_binary64
101×add-sqr-sqrt_binary64
101×add-cube-cbrt_binary64
45×add-exp-log_binary64
Counts
2 → 188
Calls

2 calls:

8.0ms
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
6.0ms
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))

simplify251.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
778×fma-neg_binary64
742×fma-def_binary64
381×*-commutative_binary64
331×sqr-pow_binary64
200×associate-/r/_binary64
Counts
284 → 272
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01954864
14004385
215154268
322004268
432624268
539334268
646404268
749344268

prune200.0ms (2.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2973300
Fresh358
Picked101
Done000
Total3018309
Error
0b
Counts
309 → 8
Alt Table
StatusErrorProgram
10.7b
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
12.6b
(/.f64 (*.f64 a1 a2) (/.f64 b2 (/.f64 1 b1)))
10.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b1)) (cbrt.f64 (/.f64 (*.f64 a1 a2) b1))) (/.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b1)) b2))
14.8b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.7b
(/.f64 (/.f64 a1 (/.f64 b1 a2)) b2)
▶7.7b
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
10.2b
(/.f64 (/.f64 1 (/.f64 b2 (*.f64 a1 a2))) b1)
11.1b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
Compiler

Compiled 5460 to 1752 computations (67.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.5b
(/.f64 a2 (/.f64 b2 a1))
✓5.0b
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)

series43.0ms (0.6%)

Counts
2 → 84
Calls

2 calls:

30.0ms
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
13.0ms
(/.f64 a2 (/.f64 b2 a1))

rewrite49.0ms (0.7%)

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
47×associate-/l*_binary64
Counts
2 → 270
Calls

2 calls:

11.0ms
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
4.0ms
(/.f64 a2 (/.f64 b2 a1))

simplify283.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
623×associate-/l/_binary64
595×*-commutative_binary64
381×associate-*r*_binary64
302×associate-/r*_binary64
297×associate-/l*_binary64
Counts
354 → 421
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04547058
110676866
230006854
337956854
443486854
547316854
650986854

prune247.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4183421
Fresh437
Picked101
Done000
Total4236429
Error
0b
Counts
429 → 6
Alt Table
StatusErrorProgram
10.7b
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
12.6b
(/.f64 (*.f64 a1 a2) (/.f64 b2 (/.f64 1 b1)))
7.9b
(/.f64 (*.f64 a2 (/.f64 a1 b2)) b1)
13.6b
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
11.1b
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
8.0b
(/.f64 1 (/.f64 b1 (/.f64 a2 (/.f64 b2 a1))))
Compiler

Compiled 7857 to 1673 computations (78.7% saved)

regimes2.5s (36.2%)

Accuracy

Total 4.1b remaining (99.4%)

Threshold costs 0b (0%)

Counts
104 → 5
Compiler

Compiled 13990 to 8278 computations (40.8% saved)

bsearch6.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
040125
147125
246125

end62.0ms (0.9%)

Compiler

Compiled 430 to 190 computations (55.8% saved)

sample1.9s (28.1%)

Algorithm
1×intervals
Results
552.0ms8000×body128valid
137.0ms1889×body128invalid
Compiler

Compiled 172 to 96 computations (44.2% saved)

Profiling

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