Details

Time bar (total: 1.9s)

analyze1.0ms (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)

sample10.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify89.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
1810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.3b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

19.3b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite8.0ms (0.4%)

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

1 calls:

7.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series30.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

30.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify61.0ms (3.2%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05064550

prune35.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3
Compiler

Compiled 497 to 274 computations (44.9% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
19.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
19.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_1123
*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
pow1_binary64_1162 sqrt-prod_binary64_1117 cbrt-prod_binary64_1132
add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 sqrt-div_binary64_1118
rem-sqrt-square_binary64_1114 pow1/3_binary64_1183 sqrt-pow1_binary64_1119 flip3-+_binary64_1104 flip-+_binary64_1075 pow1/2_binary64_1181
Counts
4 → 52
Calls

4 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series204.0ms (10.8%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(cbrt.f64 x)
84.0ms
(cbrt.f64 x)
18.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
17.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify65.0ms (3.4%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04917648
14917648

prune70.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done011
Total64367

Merged error: 0b

Counts
67 → 3
Compiler

Compiled 1701 to 811 computations (52.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
0.1b
(/.f64 1 (pow.f64 x 5))
0.2b
(pow.f64 (/.f64 1 x) 3)
18.9b
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

rewrite95.0ms (5%)

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity_binary64_1101
69×add-sqr-sqrt_binary64_1123
67×times-frac_binary64_1107
52×add-cube-cbrt_binary64_1136
41×unpow-prod-down_binary64_1180
32×cancel-sign-sub-inv_binary64_1067
29×cube-prod_binary64_1129
18×add-exp-log_binary64_1139
13×div-inv_binary64_1098
11×add-log-exp_binary64_1140 distribute-lft-out_binary64_1052
add-cbrt-cube_binary64_1137
difference-of-squares_binary64_1070 div-exp_binary64_1152
pow-exp_binary64_1169 sqr-pow_binary64_1073 associate-/r*_binary64_1045
pow1_binary64_1162
distribute-lft-out--_binary64_1053
1-exp_binary64_1145 cube-div_binary64_1130 rec-exp_binary64_1151 pow-to-exp_binary64_1170
pow-pow_binary64_1173 pow-unpow_binary64_1178 associate-/l*_binary64_1046 frac-sub_binary64_1110
inv-pow_binary64_1186 diff-log_binary64_1193 cube-mult_binary64_1131 rem-cube-cbrt_binary64_1124 sum-log_binary64_1192 flip3-+_binary64_1104 unpow3_binary64_1167 cbrt-undiv_binary64_1135 flip-+_binary64_1075 frac-add_binary64_1109 pow-flip_binary64_1175
frac-2neg_binary64_1112 sub-neg_binary64_1094 clear-num_binary64_1100 associate--l+_binary64_1038 flip--_binary64_1076 flip3--_binary64_1105 +-commutative_binary64_1031
Counts
4 → 183
Calls

4 calls:

44.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))
20.0ms
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
5.0ms
(pow.f64 (/.f64 1 x) 3)
5.0ms
(/.f64 1 (pow.f64 x 5))

series123.0ms (6.5%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
32.0ms
(/.f64 1 (pow.f64 x 5))
22.0ms
(pow.f64 (/.f64 1 x) 3)
19.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

simplify98.0ms (5.2%)

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048522880
148522880

prune251.0ms (13.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh000
Picked011
Done022
Total1953198

Merged error: 0b

Counts
198 → 3
Compiler

Compiled 3844 to 3055 computations (20.5% saved)

regimes100.0ms (5.3%)

Compiler

Compiled 608 to 408 computations (32.9% saved)

bsearch30.0ms (1.6%)

Steps
ItersRangePoint
8
25148.613112509145
8912979.895800183
63919.155183809
8
-4.268933637466503e+154
-4.971230203156748e+150
-1.3296067044155005e+154
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03859
13859

end0.0ms (0%)

sample583.0ms (30.7%)

Algorithm
intervals
Results
175.0ms8000×body128valid
Compiler

Compiled 313 to 215 computations (31.3% saved)

Profiling

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