Details

Time bar (total: 1.6s)

analyze101.0ms (6.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify162.0ms (10.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03713
13713

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 14.6b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

14.0b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite13.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
7×*-un-lft-identity_binary64_7154
4×associate-/l*_binary64_7101 times-frac_binary64_7160
3×add-sqr-sqrt_binary64_7175 div-exp_binary64_7202 add-cube-cbrt_binary64_7186 cbrt-undiv_binary64_7185 cbrt-unprod_binary64_7184 prod-exp_binary64_7200
2×associate-/l/_binary64_7103 distribute-lft-out_binary64_7107
1×clear-num_binary64_7153 flip-+_binary64_7128 flip3-+_binary64_7157 pow1_binary64_7212 frac-2neg_binary64_7165 associate-/r*_binary64_7100 add-log-exp_binary64_7190 div-inv_binary64_7151
Counts
1 → 27
Calls

1 calls:

10.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series72.0ms (4.6%)

Counts
1 → 3
Calls

1 calls:

72.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify45.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05353451

prune29.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231

Merged error: 0.0b

Counts
31 → 2
Compiler

Compiled 403 to 198 computations (50.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite15.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_7154
6×times-frac_binary64_7160
5×distribute-lft-out_binary64_7107
3×add-sqr-sqrt_binary64_7175 add-cube-cbrt_binary64_7186 add-log-exp_binary64_7190
2×div-inv_binary64_7151
1×flip-+_binary64_7128 +-commutative_binary64_7086 flip3-+_binary64_7157 pow1_binary64_7212 add-cbrt-cube_binary64_7187 sum-log_binary64_7242 add-exp-log_binary64_7189 frac-add_binary64_7162
Counts
1 → 17
Calls

1 calls:

13.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series38.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify77.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05094274

prune15.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done000
Total20222

Merged error: 0.0b

Counts
22 → 2
Compiler

Compiled 250 to 192 computations (23.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (*.f64 x 2))
7.1b
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)

rewrite23.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
44×times-frac_binary64_7160
33×*-un-lft-identity_binary64_7154
21×add-sqr-sqrt_binary64_7175 add-cube-cbrt_binary64_7186
16×add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
12×associate-/l*_binary64_7101
7×div-exp_binary64_7202 cbrt-undiv_binary64_7185
6×div-inv_binary64_7151 distribute-lft-out_binary64_7107
4×associate-/r*_binary64_7100
3×associate-/l/_binary64_7103
2×clear-num_binary64_7153 pow1_binary64_7212 frac-2neg_binary64_7165 add-log-exp_binary64_7190 cbrt-unprod_binary64_7184 prod-exp_binary64_7200
1×flip-+_binary64_7128 flip3-+_binary64_7157
Counts
2 → 77
Calls

2 calls:

9.0ms
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
7.0ms
(/.f64 (+.f64 x y) (*.f64 x 2))

series126.0ms (8%)

Counts
2 → 6
Calls

2 calls:

80.0ms
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
46.0ms
(/.f64 (+.f64 x y) (*.f64 x 2))

simplify54.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
053021434

prune62.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done011
Total83285

Merged error: 0b

Counts
85 → 2
Compiler

Compiled 1238 to 573 computations (53.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 y x))
7.1b
(/.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 y x))) y)

rewrite18.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_7175
19×times-frac_binary64_7160
18×add-cube-cbrt_binary64_7186 *-un-lft-identity_binary64_7154
13×associate-*r*_binary64_7096
9×add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
4×pow1_binary64_7212
3×associate-/l*_binary64_7101 associate-/r*_binary64_7100 associate-*l*_binary64_7097
2×div-exp_binary64_7202 add-log-exp_binary64_7190 associate-/l/_binary64_7103 div-inv_binary64_7151 unswap-sqr_binary64_7122 cbrt-undiv_binary64_7185 cbrt-unprod_binary64_7184 prod-exp_binary64_7200
1×clear-num_binary64_7153 flip-+_binary64_7128 flip3-+_binary64_7157 frac-2neg_binary64_7165 *-commutative_binary64_7087 associate-*r/_binary64_7098 pow-prod-down_binary64_7222
Counts
2 → 61
Calls

2 calls:

7.0ms
(*.f64 1/2 (/.f64 y x))
6.0ms
(/.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 y x))) y)

series86.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(/.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 y x))) y)
28.0ms
(*.f64 1/2 (/.f64 y x))

simplify72.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05351986

prune54.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done011
Total67269

Merged error: 0b

Counts
69 → 2
Compiler

Compiled 1019 to 593 computations (41.8% saved)

regimes15.0ms (1%)

Compiler

Compiled 36 to 38 computations (-5.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample454.0ms (28.9%)

Algorithm
1×intervals
Results
232.0ms8000×body128valid
0.0ms2×body128invalid
Compiler

Compiled 40 to 39 computations (2.5% saved)

Profiling

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