Details

Time bar (total: 5.6s)

analyze1.0s (18.3%)

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)

sample39.0ms (0.7%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
3.0ms58×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify13.0ms (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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶13.0b
(/.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
✓12.7b
(/.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))

series102.0ms (1.8%)

Counts
1 → 48
Calls

1 calls:

102.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify109.0ms (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 → 91
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058859
1161754
2820754
33799754
44127754
54478754
64861754
75308754

prune28.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84791
Fresh000
Picked011
Done000
Total84892
Error
0.0b
Counts
92 → 8
Alt Table
StatusErrorProgram
10.5b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
13.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) (cbrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)))) (cbrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))
33.3b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) 3))
✓13.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
11.5b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
11.8b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
▶9.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
10.2b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
Compiler

Compiled 659 to 228 computations (65.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.3b
(/.f64 b1 (/.f64 a2 b2))
✓5.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite41.0ms (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
57×associate-/r*_binary64
Counts
2 → 270
Calls

2 calls:

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

series151.0ms (2.7%)

Counts
2 → 84
Calls

2 calls:

104.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
47.0ms
(/.f64 b1 (/.f64 a2 b2))

simplify327.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
558×associate-/r/_binary64
413×associate-/l/_binary64
375×associate-*l/_binary64
330×*-commutative_binary64
328×associate-*r/_binary64
Counts
354 → 565
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527123
19946901
236586898
335826898
442116898
546046898
650796898

prune293.0ms (5.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5605565
Fresh426
Picked101
Done011
Total5658573
Error
0b
Counts
573 → 8
Alt Table
StatusErrorProgram
11.8b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
13.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
24.5b
(*.f64 (/.f64 1 (sqrt.f64 b2)) (/.f64 a1 (/.f64 b1 (/.f64 a2 (sqrt.f64 b2)))))
9.6b
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
✓13.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
▶9.4b
(*.f64 1 (/.f64 a1 (/.f64 b1 (/.f64 a2 b2))))
10.4b
(*.f64 (/.f64 1 b1) (/.f64 a1 (/.f64 1 (/.f64 a2 b2))))
11.5b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 8449 to 1827 computations (78.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.3b
(/.f64 b1 (/.f64 a2 b2))
5.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify19.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune244.0ms (4.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5641565
Fresh156
Picked011
Done011
Total5658573
Error
0b
Counts
573 → 8
Alt Table
StatusErrorProgram
11.8b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
13.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
10.2b
(*.f64 1 (*.f64 (/.f64 1 b1) (*.f64 a1 (/.f64 a2 b2))))
▶9.6b
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
✓13.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
✓9.4b
(*.f64 1 (/.f64 a1 (/.f64 b1 (/.f64 a2 b2))))
10.4b
(*.f64 (/.f64 1 b1) (/.f64 a1 (/.f64 1 (/.f64 a2 b2))))
11.5b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 9328 to 2714 computations (70.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.4b
(*.f64 b1 (/.f64 b2 a2))
✓5.4b
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))

rewrite13.0ms (0.2%)

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:

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

series155.0ms (2.8%)

Counts
2 → 84
Calls

2 calls:

107.0ms
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
47.0ms
(*.f64 b1 (/.f64 b2 a2))

simplify138.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
932×times-frac_binary64
529×associate-/l*_binary64
394×associate-*l/_binary64
385×associate-/r*_binary64
361×associate-*r/_binary64
Counts
144 → 187
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111527
12561398
29521398
340871395
443431395
547791395
649611395
749651395

prune51.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1852187
Fresh235
Picked011
Done022
Total1878195
Error
0b
Counts
195 → 8
Alt Table
StatusErrorProgram
11.8b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
13.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
✓9.6b
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
✓13.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
✓9.4b
(*.f64 1 (/.f64 a1 (/.f64 b1 (/.f64 a2 b2))))
10.5b
(/.f64 (/.f64 a1 b1) (/.f64 b2 a2))
10.3b
(*.f64 (/.f64 1 b1) (/.f64 a1 (/.f64 b2 a2)))
11.5b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 1211 to 364 computations (69.9% saved)

regimes1.5s (26.4%)

Accuracy

Total 2.4b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 25356 to 14586 computations (42.5% saved)

bsearch12.0ms (0.2%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035132
140132
240132

end37.0ms (0.7%)

Compiler

Compiled 435 to 165 computations (62.1% saved)

sample1.3s (23%)

Algorithm
1×intervals
Results
308.0ms8000×body128valid
69.0ms1896×body128invalid
Compiler

Compiled 195 to 105 computations (46.2% saved)

Profiling

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