Details

Time bar (total: 4.8s)

analyze1.2s (24.7%)

Algorithm
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)

sample41.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms66×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
associate-*r/_binary64
associate-/r/_binary64
*-commutative_binary64
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
12.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.7b
(/.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
12.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series38.0ms (0.8%)

Counts
1 → 48
Calls

1 calls:

38.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite6.0ms (0.1%)

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

1 calls:

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

simplify88.0ms (1.9%)

Algorithm
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

prune28.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637
Error
0.0b
Counts
37 → 6
Alt Table
StatusErrorProgram
10.7b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
12.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
13.2b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
12.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
13.2b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
12.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 575 to 192 computations (66.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.8b
(*.f64 a2 (/.f64 a1 b1))
5.8b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series41.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

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

rewrite14.0ms (0.3%)

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

simplify102.0ms (2.1%)

Algorithm
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

prune54.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84690
Fresh224
Picked011
Done011
Total861096
Error
0.0b
Counts
96 → 10
Alt Table
StatusErrorProgram
30.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)) (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)))
10.7b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
51.4b
(/.f64 (*.f64 (*.f64 a2 (sqrt.f64 a1)) (/.f64 (sqrt.f64 a1) b1)) b2)
13.2b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
12.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
30.3b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 a2 (/.f64 a1 b1)) (*.f64 a2 (/.f64 a1 b1))) (*.f64 a2 (/.f64 a1 b1)))) b2)
11.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
10.7b
(*.f64 (*.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
12.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
11.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
Compiler

Compiled 1384 to 448 computations (67.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.8b
(*.f64 a2 (/.f64 a1 b1))
5.9b
(*.f64 (*.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))

series32.0ms (0.7%)

Counts
1 → 48
Calls

1 calls:

32.0ms
(*.f64 (*.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))

rewrite12.0ms (0.2%)

Algorithm
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 a2 (/.f64 a1 b1)) (/.f64 1 b2))

simplify97.0ms (2%)

Algorithm
egg-herbie
Rules
555×associate-*l/_binary64
488×associate-*r/_binary64
367×unswap-sqr_binary64
313×associate-/l*_binary64
262×sqr-pow_binary64
Counts
96 → 65
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0911184
12231034
27531034
328061034
431941034
540301034
648801034
749661034

prune100.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1132115
Fresh257
Picked101
Done022
Total1169125
Error
0.0b
Counts
125 → 9
Alt Table
StatusErrorProgram
30.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)) (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)))
10.7b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
12.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
51.4b
(/.f64 (*.f64 (*.f64 a2 (sqrt.f64 a1)) (/.f64 (sqrt.f64 a1) b1)) b2)
11.3b
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
11.3b
(/.f64 (*.f64 (*.f64 a2 a1) (/.f64 1 b2)) b1)
11.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
12.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
11.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
Compiler

Compiled 1929 to 787 computations (59.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.5b
(/.f64 b2 (/.f64 a1 b1))
6.7b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

series42.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

29.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
13.0ms
(/.f64 b2 (/.f64 a1 b1))

rewrite48.0ms (1%)

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

simplify283.0ms (5.9%)

Algorithm
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

prune198.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4481449
Fresh336
Picked011
Done022
Total4517458
Error
0b
Counts
458 → 7
Alt Table
StatusErrorProgram
30.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)) (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)))
10.7b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
12.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
11.1b
(/.f64 (/.f64 a2 (/.f64 b2 a1)) b1)
11.3b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
12.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
11.7b
(*.f64 a2 (/.f64 a1 (*.f64 b2 b1)))
Compiler

Compiled 8354 to 1753 computations (79% saved)

regimes1.0s (21.2%)

Accuracy

Total 2.2b remaining (99%)

Threshold costs 0b (0%)

Counts
51 → 5
Compiler

Compiled 6417 to 3727 computations (41.9% saved)

bsearch2.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary64
if-not_binary64
not-not_bool
not-or_bool
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030114
135106
238106
341104
441104
542104
642104

end35.0ms (0.7%)

Compiler

Compiled 365 to 145 computations (60.3% saved)

sample1.3s (26.9%)

Algorithm
intervals
Results
280.0ms8000×body128valid
71.0ms1852×body128invalid
Compiler

Compiled 176 to 92 computations (47.7% saved)

Profiling

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