Details

Time bar (total: 228.0ms)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0912
1912

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b
(sqrt.f64 (+.f64 x 1))
0.1b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_1216
26×add-sqr-sqrt_binary64_1201
21×distribute-lft-out_binary64_1260
18×times-frac_binary64_1211
15×add-cube-cbrt_binary64_1187
14×sqrt-prod_binary64_1195
associate-/r*_binary64_1279
add-cbrt-cube_binary64_1188 add-exp-log_binary64_1180 add-log-exp_binary64_1181
pow1_binary64_1162
flip-+_binary64_1241 flip3-+_binary64_1214 associate-/l*_binary64_1280
sqrt-div_binary64_1196 associate-/r/_binary64_1281
sum-log_binary64_1131 div-exp_binary64_1169 pow1/2_binary64_1152 div-inv_binary64_1217 clear-num_binary64_1219 rem-sqrt-square_binary64_1204 cbrt-undiv_binary64_1186 frac-2neg_binary64_1209 +-commutative_binary64_1283 sqrt-pow1_binary64_1197
Counts
3 → 71
Calls
3 calls:
6.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms
(sqrt.f64 (+.f64 x 1))
8.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series95.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
12.0ms
(sqrt.f64 (+.f64 x 1))
68.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051291596

prune14.0ms

Filtered
55 candidates to 80 candidates (-45.5%)

Profiling

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