Details

Time bar (total: 338.0ms)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%0%50%2

sample33.0ms

Algorithm
intervals
Results
9.0ms63×body640valid
7.0ms36×body1280valid
5.0ms134×body80valid
2.0ms15×body320valid
1.0msbody160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
07517
17517

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 19.7b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x 1))
0.1b
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b
(/.f64 1 (sqrt.f64 x))
2.3b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt_binary64_1201
97×*-un-lft-identity_binary64_1216 times-frac_binary64_1211
64×sqrt-prod_binary64_1195
42×add-cube-cbrt_binary64_1187
25×difference-of-squares_binary64_1245
13×distribute-lft-out--_binary64_1261 associate-/r*_binary64_1279
10×add-exp-log_binary64_1180
pow1_binary64_1162
add-cbrt-cube_binary64_1188 distribute-lft-out_binary64_1260
div-inv_binary64_1217 pow-flip_binary64_1146 add-log-exp_binary64_1181 associate-/l*_binary64_1280
sqrt-div_binary64_1196
pow1/2_binary64_1152 sqrt-pow1_binary64_1197
div-exp_binary64_1169 rec-exp_binary64_1168 flip-+_binary64_1241 clear-num_binary64_1219 flip3-+_binary64_1214 associate-/r/_binary64_1281 cbrt-undiv_binary64_1186 inv-pow_binary64_1138 frac-2neg_binary64_1209
flip3--_binary64_1215 frac-sub_binary64_1207 rem-sqrt-square_binary64_1204 diff-log_binary64_1132 sub-neg_binary64_1220 flip--_binary64_1242
Counts
4 → 160
Calls
4 calls:
3.0ms
(sqrt.f64 (+.f64 x 1))
7.0ms
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms
(/.f64 1 (sqrt.f64 x))
36.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt.f64 (+.f64 x 1))
19.0ms
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
29.0ms
(/.f64 1 (sqrt.f64 x))
37.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

simplify83.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
055083413

prune31.0ms

Filtered
95 candidates to 172 candidates (-81.1%)

Profiling

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