Details

Time bar (total: 3.0s)

analyze404.0ms (13.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0326232
1326232
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample15.0ms (0.5%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify252.0ms (8.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (246.0ms)

IterNodesCost
0311216
1311216

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_5193
12×times-frac_binary64_5199
10×add-cube-cbrt_binary64_5228 add-sqr-sqrt_binary64_5215
4×distribute-lft-out_binary64_5144 associate-/r*_binary64_5137
3×add-cbrt-cube_binary64_5229 associate-/l*_binary64_5138 add-exp-log_binary64_5231
2×associate-/r/_binary64_5139
1×add-log-exp_binary64_5232 flip-+_binary64_5167 div-inv_binary64_5190 cbrt-undiv_binary64_5227 clear-num_binary64_5192 flip3-+_binary64_5196 div-exp_binary64_5244 pow1_binary64_5254 frac-2neg_binary64_5204
Counts
1 → 33
Calls

1 calls:

8.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series57.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

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

simplify69.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05003762

prune41.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537
Error
0b
Counts
37 → 5
Compiler

Compiled 782 to 468 computations (40.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
6.0b
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite30.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
108×times-frac_binary64_5199
92×*-un-lft-identity_binary64_5193
60×add-cube-cbrt_binary64_5228 add-sqr-sqrt_binary64_5215
19×associate-/r*_binary64_5137
16×distribute-lft-out_binary64_5144
15×add-exp-log_binary64_5231
9×add-cbrt-cube_binary64_5229
8×div-exp_binary64_5244
7×associate-/l*_binary64_5138
6×div-inv_binary64_5190
4×cbrt-undiv_binary64_5227
3×pow1_binary64_5254
2×add-log-exp_binary64_5232 clear-num_binary64_5192 associate-/l/_binary64_5140 1-exp_binary64_5237 rec-exp_binary64_5243 frac-2neg_binary64_5204
1×flip-+_binary64_5167 flip3-+_binary64_5196 associate-/r/_binary64_5139 pow-flip_binary64_5267 inv-pow_binary64_5278
Counts
2 → 121
Calls

2 calls:

10.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
8.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

series88.0ms (3%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
31.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

simplify101.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049213023
149213023

prune129.0ms (4.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh123
Picked101
Done011
Total1284132
Error
0b
Counts
132 → 4
Compiler

Compiled 2797 to 1729 computations (38.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1 y) (*.f64 x 1/2))
0.1b
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

rewrite21.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
10×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193 add-sqr-sqrt_binary64_5215
9×times-frac_binary64_5199
6×add-exp-log_binary64_5231
4×add-cbrt-cube_binary64_5229 add-log-exp_binary64_5232
3×associate-/l*_binary64_5138 associate-/r*_binary64_5137 pow1_binary64_5254
2×flip-+_binary64_5167 flip3-+_binary64_5196 div-exp_binary64_5244 associate-/r/_binary64_5139
1×sum-log_binary64_5284 div-inv_binary64_5190 cbrt-undiv_binary64_5227 clear-num_binary64_5192 +-commutative_binary64_5123 1-exp_binary64_5237 pow-flip_binary64_5267 rec-exp_binary64_5243 inv-pow_binary64_5278 frac-2neg_binary64_5204
Counts
2 → 44
Calls

2 calls:

9.0ms
(+.f64 (/.f64 1 y) (*.f64 x 1/2))
9.0ms
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

series56.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))
19.0ms
(+.f64 (/.f64 1 y) (*.f64 x 1/2))

simplify76.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04917913
14917913

prune51.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454
Error
0b
Counts
54 → 4
Compiler

Compiled 956 to 720 computations (24.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.6b
(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2))) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))))
6.2b
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
6.2b
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
6.2b
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))

rewrite47.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-div_binary64_5225
16×add-exp-log_binary64_5231
13×*-un-lft-identity_binary64_5193
12×cbrt-prod_binary64_5224
9×flip-+_binary64_5167 flip3-+_binary64_5196
8×add-cbrt-cube_binary64_5229 associate-/r/_binary64_5139
7×add-cube-cbrt_binary64_5228 add-sqr-sqrt_binary64_5215
4×add-log-exp_binary64_5232 frac-times_binary64_5203 cbrt-undiv_binary64_5227 div-exp_binary64_5244 prod-exp_binary64_5242 pow1_binary64_5254 cbrt-unprod_binary64_5226
3×distribute-lft-out_binary64_5144 pow1/3_binary64_5275
2×associate-*l/_binary64_5136 associate-*r/_binary64_5135
1×associate-/l*_binary64_5138 div-inv_binary64_5190 clear-num_binary64_5192 times-frac_binary64_5199 associate-/r*_binary64_5137 frac-2neg_binary64_5204
Counts
4 → 71
Calls

4 calls:

22.0ms
(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2))) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))))
5.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
5.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
5.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))

series559.0ms (18.9%)

Counts
4 → 12
Calls

4 calls:

150.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
141.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
140.0ms
(cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))
128.0ms
(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2))) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)))))

simplify69.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050162476

prune171.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487
Error
0b
Counts
87 → 4
Compiler

Compiled 3931 to 2339 computations (40.5% saved)

regimes57.0ms (1.9%)

Accuracy

Total 0.0b remaining (94.9%)

Threshold costs 0.0b (94.9%)

Compiler

Compiled 485 to 368 computations (24.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02916
12916

end0.0ms (0%)

sample608.0ms (20.6%)

Algorithm
1×intervals
Results
276.0ms7999×body128valid
0.0ms1×body512valid
Compiler

Compiled 176 to 135 computations (23.3% saved)

Profiling

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