Details

Time bar (total: 3.8s)

analyze3.0ms (0.1%)

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

Compiled 8 to 6 computations (25% saved)

sample22.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify162.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0810
1810

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
17.3b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

17.3b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite62.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
17.3b
Rules
add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 times-frac_binary64_1107 *-un-lft-identity_binary64_1101
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 associate-/l*_binary64_1046 associate-/r*_binary64_1045
associate-/r/_binary64_1047
pow1_binary64_1162 div-exp_binary64_1152 add-log-exp_binary64_1140 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 flip3-+_binary64_1104 flip-+_binary64_1075
Counts
1 → 29
Calls

1 calls:

11.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 469 to 241 computations (48.6% saved)

series83.0ms (2.2%)

Error
0.0b
Counts
1 → 8
Calls

1 calls:

71.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 134 to 107 computations (20.1% saved)

simplify193.0ms (5.1%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (174.0ms)

IterNodesCost
04941567
14941567

prune50.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338
Error
0b
Counts
38 → 3
Compiler

Compiled 497 to 272 computations (45.3% saved)

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
17.3b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
17.3b
(sqrt.f64 (+.f64 1 (*.f64 x x)))

rewrite155.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
22×add-sqr-sqrt_binary64_1123
20×add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
18×sqrt-prod_binary64_1117 times-frac_binary64_1107
sqrt-div_binary64_1118 associate-/r*_binary64_1045
pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-log-exp_binary64_1140 flip3-+_binary64_1104 flip-+_binary64_1075 associate-/l*_binary64_1046
pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114 associate-/r/_binary64_1047
div-exp_binary64_1152 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
Counts
3 → 71
Calls

3 calls:

10.0ms
(/.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
5.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
Compiler

Compiled 1739 to 985 computations (43.4% saved)

series286.0ms (7.5%)

Error
0b
Counts
3 → 28
Calls

3 calls:

87.0ms
(/.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
81.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
77.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
Compiler

Compiled 1124 to 848 computations (24.6% saved)

simplify147.0ms (3.9%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
048901520
148901520

prune159.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102
Error
0b
Counts
102 → 3
Compiler

Compiled 2019 to 1177 computations (41.7% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.1b
(/.f64 1 (pow.f64 x 3))

rewrite458.0ms (12.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
128×times-frac_binary64_1107
122×add-sqr-sqrt_binary64_1123
90×*-un-lft-identity_binary64_1101
53×add-cube-cbrt_binary64_1136
40×cancel-sign-sub-inv_binary64_1067
27×unpow-prod-down_binary64_1180 cube-prod_binary64_1129 difference-of-squares_binary64_1070
13×sqr-pow_binary64_1073
12×unpow3_binary64_1167 associate-/r*_binary64_1045
11×add-exp-log_binary64_1139
cube-mult_binary64_1131 div-inv_binary64_1098 distribute-lft-out--_binary64_1053
div-exp_binary64_1152
distribute-rgt-out--_binary64_1055
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
pow-to-exp_binary64_1170 1-exp_binary64_1145 pow-exp_binary64_1169 rec-exp_binary64_1151 associate-/l*_binary64_1046
pow1_binary64_1162
inv-pow_binary64_1186 pow-flip_binary64_1175 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 diff-log_binary64_1193 frac-sub_binary64_1110 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076
Counts
2 → 164
Calls

2 calls:

60.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
10.0ms
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 3048 to 2368 computations (22.3% saved)

series130.0ms (3.4%)

Error
0b
Counts
2 → 9
Calls

2 calls:

71.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
50.0ms
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 184 to 158 computations (14.1% saved)

simplify171.0ms (4.5%)

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
049872404
149872404

prune271.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done022
Total1733176
Error
0b
Counts
176 → 3
Compiler

Compiled 2337 to 1693 computations (27.6% saved)

regimes214.0ms (5.6%)

Accuracy

Total 0.0b remaining (95.9%)

Threshold costs 0.0b (95.9%)

Compiler

Compiled 538 to 370 computations (31.2% saved)

bsearch39.0ms (1%)

Steps
ItersRangePoint
10
0.40645441100929564
12555906387371.697
12478.320956755231
4
-5241394.865332461
-3152051.0775888395
-4179606.248108378
Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03234
13234

end0.0ms (0%)

sample1.1s (29.9%)

Algorithm
intervals
Results
314.0ms8000×body128valid
Compiler

Compiled 268 to 189 computations (29.5% saved)

Profiling

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