Details

Time bar (total: 2.9s)

analyze280.0ms (9.6%)

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)

sample57.0ms (1.9%)

Algorithm
intervals
Results
23.0ms146×body2048nan
12.0ms256×body128valid
7.0ms53×body1024nan
3.0ms31×body512nan
1.0ms20×body256nan
1.0ms17×body128nan
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify291.0ms (9.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
0515014

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

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)))
29.2b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64_1103 *-un-lft-identity_binary64_1088
add-sqr-sqrt_binary64_1109
add-log-exp_binary64_1124
pow1_binary64_1146 add-cube-cbrt_binary64_1120
add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 sqrt-div_binary64_1104 difference-of-squares_binary64_1057
rem-sqrt-square_binary64_1101 difference-of-sqr-1_binary64_1058 flip3--_binary64_1092 sum-log_binary64_1176 flip--_binary64_1063 +-commutative_binary64_1020 flip-+_binary64_1062 flip3-+_binary64_1091 distribute-lft-out_binary64_1041 sqrt-pow1_binary64_1105 pow1/2_binary64_1165
Counts
2 → 30
Calls

2 calls:

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

series105.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
43.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify62.0ms (2.1%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05348536

prune35.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done000
Total36137

Merged error: 0b

Counts
37 → 1
Compiler

Compiled 529 to 350 computations (33.8% 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))))
0.6b
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_1109
15×sqrt-prod_binary64_1103
12×sqrt-div_binary64_1104
11×*-un-lft-identity_binary64_1088
10×associate-*r*_binary64_1030
associate-*l*_binary64_1031
pow1_binary64_1146 add-cube-cbrt_binary64_1120
add-cbrt-cube_binary64_1121 unswap-sqr_binary64_1056 frac-times_binary64_1098 add-exp-log_binary64_1123 flip-+_binary64_1062 add-log-exp_binary64_1124 flip3-+_binary64_1091
flip3--_binary64_1092 flip--_binary64_1063 pow-prod-down_binary64_1156
associate-*l/_binary64_1033 sqrt-pow1_binary64_1105 associate-*r/_binary64_1032 difference-of-squares_binary64_1057 pow1/2_binary64_1165
*-commutative_binary64_1021 cbrt-unprod_binary64_1118 difference-of-sqr-1_binary64_1058 sum-log_binary64_1176 +-commutative_binary64_1020 sqrt-unprod_binary64_1107 prod-exp_binary64_1134 distribute-lft-out_binary64_1041 distribute-lft-out--_binary64_1042
Counts
2 → 54
Calls

2 calls:

14.0ms
(*.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))))

series127.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

68.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
58.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049251195
149251195

prune63.0ms (2.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done000
Total60161

Merged error: 0b

Counts
61 → 1
Compiler

Compiled 1149 to 865 computations (24.7% 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%)

sample1.8s (60.3%)

Algorithm
intervals
Results
668.0ms4083×body2048nan
370.0ms8000×body128valid
248.0ms1930×body1024nan
99.0ms998×body512nan
35.0ms535×body256nan
19.0ms531×body128nan
1.0msbody4096nan
Compiler

Compiled 43 to 36 computations (16.3% saved)

Profiling

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