Details

Time bar (total: 5.8s)

analyze554.0ms (9.6%)

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
25%74.9%0.2%5
25%74.9%0.2%6
25%74.9%0.2%7
37.4%62.4%0.2%8
56.1%43.7%0.2%9
56.1%43.7%0.2%10
56.1%43.7%0.2%11
65.5%34.3%0.2%12
76.4%23.4%0.2%13
76.4%23.4%0.2%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (18.7%)

Symmetry

(sort a1 a2)

(sort b1 b2)

Results
1.0s8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify17.0ms (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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
9.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶9.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series58.0ms (1%)

Counts
1 → 48
Calls

1 calls:

58.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite16.0ms (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:

7.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify117.0ms (2%)

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 (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New28836
Fresh000
Picked101
Done000
Total29837
Error
0.0b
Counts
37 → 8
Alt Table
StatusErrorProgram
7.6b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
9.0b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
7.1b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
29.2b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))
9.4b
(*.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))))
▶6.9b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
7.5b
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
7.3b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
Compiler

Compiled 688 to 237 computations (65.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.7b
(*.f64 a2 (/.f64 a1 b1))
✓4.6b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series49.0ms (0.8%)

Counts
2 → 84
Calls

2 calls:

32.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
16.0ms
(*.f64 a2 (/.f64 a1 b1))

rewrite23.0ms (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 a2 (/.f64 a1 b1))
8.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

simplify155.0ms (2.7%)

Algorithm
1×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

prune118.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh347
Picked011
Done000
Total90898
Error
0.0b
Counts
98 → 8
Alt Table
StatusErrorProgram
20.1b
(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
▶7.1b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
7.6b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
9.0b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
7.6b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
28.1b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)) (sqrt.f64 (/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)))
✓6.9b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
7.3b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
Compiler

Compiled 1329 to 425 computations (68% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.1b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series52.0ms (0.9%)

Counts
1 → 48
Calls

1 calls:

52.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite26.0ms (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:

18.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

simplify214.0ms (3.7%)

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

prune94.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh156
Picked011
Done011
Total81889
Error
0.0b
Counts
89 → 8
Alt Table
StatusErrorProgram
20.1b
(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
✓7.1b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
7.6b
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
9.0b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
7.6b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
7.5b
(*.f64 a1 (/.f64 a2 (*.f64 b2 b1)))
✓6.9b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
▶7.3b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
Compiler

Compiled 1328 to 379 computations (71.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.4b
(/.f64 b1 (/.f64 a2 b2))
✓4.0b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

series89.0ms (1.5%)

Counts
2 → 84
Calls

2 calls:

62.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
27.0ms
(/.f64 b1 (/.f64 a2 b2))

rewrite97.0ms (1.7%)

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:

19.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
8.0ms
(/.f64 b1 (/.f64 a2 b2))

simplify545.0ms (9.5%)

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 → 449
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527123
19946901
236586898
335826898
442116898
546046898
650796898

prune441.0ms (7.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4472449
Fresh325
Picked011
Done022
Total4507457
Error
0b
Counts
457 → 7
Alt Table
StatusErrorProgram
20.1b
(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
✓7.1b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
7.9b
(*.f64 (/.f64 a2 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (/.f64 a1 (*.f64 b2 (cbrt.f64 b1))))
6.6b
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
7.6b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
✓6.9b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
✓7.3b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
Compiler

Compiled 8357 to 1758 computations (79% saved)

regimes1.2s (20.1%)

Accuracy

Total 5.2b remaining (99.3%)

Threshold costs 0b (0%)

Counts
50 → 4
Compiler

Compiled 5753 to 3487 computations (39.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×if-if-or-not_binary64
1×*-lft-identity_binary64
1×1-exp_binary64
1×if-not_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02359
13151
23451
33749
43749
53849
63749

end781.0ms (13.5%)

Compiler

Compiled 312 to 176 computations (43.6% saved)

Profiling

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