Details

Time bar (total: 2.8s)

analyze276.0ms (9.9%)

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)

sample49.0ms (1.7%)

Algorithm
intervals
Results
17.0ms110×body2048nan
11.0ms256×body128valid
7.0ms61×body1024nan
2.0ms27×body512nan
1.0ms12×body256nan
0.0ms11×body128nan
0.0msbody4096nan
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify265.0ms (9.5%)

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: 28.4b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1111 sqrt-prod_binary64_1127
add-sqr-sqrt_binary64_1133
add-log-exp_binary64_1150
add-cube-cbrt_binary64_1146 pow1_binary64_1172
add-cbrt-cube_binary64_1147 sqrt-div_binary64_1128 difference-of-squares_binary64_1080 add-exp-log_binary64_1149
pow1/2_binary64_1191 rem-sqrt-square_binary64_1124 flip-+_binary64_1085 flip3--_binary64_1115 flip3-+_binary64_1114 +-commutative_binary64_1041 difference-of-sqr-1_binary64_1081 distribute-lft-out_binary64_1062 sqrt-pow1_binary64_1129 sum-log_binary64_1202 flip--_binary64_1086
Counts
2 → 30
Calls

2 calls:

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

series104.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

59.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
45.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify53.0ms (1.9%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04922536
14922536

prune33.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New35136
Fresh000
Picked011
Done000
Total35237

Merged error: 0b

Counts
37 → 2
Compiler

Compiled 550 to 367 computations (33.3% saved)

localize11.0ms (0.4%)

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))))

series124.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
55.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

simplify64.0ms (2.3%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049601195
149601195

prune65.0ms (2.3%)

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)

regimes26.0ms (0.9%)

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 (60%)

Algorithm
intervals
Results
620.0ms3858×body2048nan
357.0ms8000×body128valid
237.0ms1904×body1024nan
95.0ms1004×body512nan
35.0ms528×body256nan
16.0ms473×body128nan
2.0ms12×body4096nan
Compiler

Compiled 43 to 36 computations (16.3% saved)

Profiling

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