Details

Time bar (total: 2.9s)

analyze268.0ms (9.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample50.0ms (1.7%)

Algorithm
intervals
Results
18.0ms123×body2048nan
11.0ms256×body128valid
7.0ms62×body1024nan
2.0ms28×body512nan
1.0ms13×body256nan
0.0ms15×body128nan
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify264.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0560414

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.1b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
28.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1111
add-sqr-sqrt_binary64_1133
add-log-exp_binary64_1150
sqrt-prod_binary64_1127
add-cube-cbrt_binary64_1146
difference-of-squares_binary64_1080 pow1_binary64_1172
add-cbrt-cube_binary64_1147 cancel-sign-sub-inv_binary64_1077 add-exp-log_binary64_1149
sqrt-div_binary64_1128 flip3--_binary64_1115 difference-of-sqr-1_binary64_1081 flip--_binary64_1086
pow1/2_binary64_1191 rem-sqrt-square_binary64_1124 flip-+_binary64_1085 diff-log_binary64_1203 flip3-+_binary64_1114 +-commutative_binary64_1041 distribute-lft-out_binary64_1062 sqrt-pow1_binary64_1129 sum-log_binary64_1202 sub-neg_binary64_1104
Counts
3 → 47
Calls

3 calls:

8.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))
5.0ms
(-.f64 (*.f64 x x) 1)

series161.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

60.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
55.0ms
(-.f64 (*.f64 x x) 1)
46.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify72.0ms (2.5%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04877706
14877706

prune50.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh000
Picked011
Done000
Total55257

Merged error: 0b

Counts
57 → 2
Compiler

Compiled 790 to 519 computations (34.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.5b
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite23.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_1133
15×sqrt-prod_binary64_1127
12×sqrt-div_binary64_1128
11×*-un-lft-identity_binary64_1111
10×associate-*r*_binary64_1051
associate-*l*_binary64_1052
add-cube-cbrt_binary64_1146 pow1_binary64_1172
add-cbrt-cube_binary64_1147 flip-+_binary64_1085 frac-times_binary64_1121 flip3-+_binary64_1114 unswap-sqr_binary64_1079 add-log-exp_binary64_1150 add-exp-log_binary64_1149
flip3--_binary64_1115 pow-prod-down_binary64_1182 flip--_binary64_1086
pow1/2_binary64_1191 associate-*l/_binary64_1054 difference-of-squares_binary64_1080 sqrt-pow1_binary64_1129 associate-*r/_binary64_1053
*-commutative_binary64_1042 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 +-commutative_binary64_1041 difference-of-sqr-1_binary64_1081 distribute-lft-out_binary64_1062 sqrt-unprod_binary64_1131 sum-log_binary64_1202 distribute-lft-out--_binary64_1063
Counts
2 → 54
Calls

2 calls:

15.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
3.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

series133.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

77.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
56.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

simplify62.0ms (2.1%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049601195
149601195

prune63.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done011
Total60262

Merged error: 0b

Counts
62 → 2
Compiler

Compiled 1149 to 866 computations (24.6% saved)

regimes28.0ms (1%)

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02319
12319

end0.0ms (0%)

sample1.7s (57.9%)

Algorithm
intervals
Results
636.0ms4108×body2048nan
343.0ms8000×body128valid
234.0ms1963×body1024nan
91.0ms1033×body512nan
33.0ms520×body256nan
16.0ms506×body128nan
1.0msbody4096nan
Compiler

Compiled 43 to 36 computations (16.3% saved)

Profiling

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