Details

Time bar (total: 3.2s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
6.0ms75×body512valid
4.0ms141×body128valid
2.0ms32×body256valid
1.0msbody1024valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify172.0ms (5.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07616
17616

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 15.4b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
4.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite66.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity_binary64_1111
95×add-sqr-sqrt_binary64_1133
90×times-frac_binary64_1117
43×add-cube-cbrt_binary64_1146
30×distribute-lft-out--_binary64_1063
27×cancel-sign-sub-inv_binary64_1077
23×difference-of-squares_binary64_1080
11×associate-/r*_binary64_1055 add-exp-log_binary64_1149
10×distribute-lft-out_binary64_1062
associate-/r/_binary64_1057
add-cbrt-cube_binary64_1147 div-inv_binary64_1108 difference-of-sqr-1_binary64_1081
associate-/l*_binary64_1056
add-log-exp_binary64_1150 pow1_binary64_1172
div-exp_binary64_1162 flip--_binary64_1086
flip3--_binary64_1115
flip-+_binary64_1085 pow-flip_binary64_1185 frac-2neg_binary64_1122 1-exp_binary64_1155 rec-exp_binary64_1161 cbrt-undiv_binary64_1145 clear-num_binary64_1110 inv-pow_binary64_1196
frac-sub_binary64_1120 diff-log_binary64_1203 flip3-+_binary64_1114 sub-neg_binary64_1104
Counts
3 → 151
Calls

3 calls:

39.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 1 (+.f64 x 1))

series113.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

76.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
18.0ms
(/.f64 1 (+.f64 x 1))
18.0ms
(/.f64 1 (-.f64 x 1))

simplify86.0ms (2.7%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
054212407

prune180.0ms (5.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1582160
Fresh000
Picked101
Done000
Total1592161

Merged error: 0.4b

Counts
161 → 2
Compiler

Compiled 2878 to 2362 computations (17.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_1117 *-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146
add-cbrt-cube_binary64_1147 associate-/r*_binary64_1055 associate-/l*_binary64_1056 add-exp-log_binary64_1149
associate-/r/_binary64_1057
div-inv_binary64_1108 flip-+_binary64_1085 frac-2neg_binary64_1122 flip3-+_binary64_1114 div-exp_binary64_1162 cbrt-undiv_binary64_1145 add-log-exp_binary64_1150 pow1_binary64_1172 clear-num_binary64_1110
Counts
1 → 29
Calls

1 calls:

5.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series40.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify66.0ms (2.1%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05269557

prune66.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh101
Picked011
Done000
Total29534

Merged error: 0.3b

Counts
34 → 5
Compiler

Compiled 1019 to 724 computations (28.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite30.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64_1143
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 flip-+_binary64_1085 cbrt-prod_binary64_1142 add-cube-cbrt_binary64_1146 flip3-+_binary64_1114 add-exp-log_binary64_1149
associate-/r/_binary64_1057
add-cbrt-cube_binary64_1147
frac-times_binary64_1121 add-log-exp_binary64_1150 pow1_binary64_1172
times-frac_binary64_1117 pow1/3_binary64_1193 associate-/l*_binary64_1056
associate-*l/_binary64_1054 div-exp_binary64_1162 cbrt-undiv_binary64_1145 associate-*r/_binary64_1053
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 div-inv_binary64_1108 associate-/r*_binary64_1055 frac-2neg_binary64_1122 clear-num_binary64_1110
Counts
4 → 68
Calls

4 calls:

11.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series391.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

125.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
94.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
87.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
84.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify68.0ms (2.1%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050331523

prune177.0ms (5.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76480
Fresh123
Picked011
Done011
Total77885

Merged error: 0.3b

Counts
85 → 8
Compiler

Compiled 3435 to 2327 computations (32.3% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

16.0b
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
16.2b
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite20.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod_binary64_1142
16×add-sqr-sqrt_binary64_1133
13×*-un-lft-identity_binary64_1111
add-cube-cbrt_binary64_1146 cbrt-div_binary64_1143
difference-of-squares_binary64_1080
add-cbrt-cube_binary64_1147 pow1/3_binary64_1193 add-log-exp_binary64_1150 pow1_binary64_1172 add-exp-log_binary64_1149
unpow-prod-down_binary64_1190 flip-+_binary64_1085 flip3--_binary64_1115 flip3-+_binary64_1114 sqr-pow_binary64_1083 flip--_binary64_1086
distribute-lft-out--_binary64_1063
Counts
4 → 60
Calls

4 calls:

6.0ms
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series718.0ms (22.3%)

Counts
4 → 12
Calls

4 calls:

400.0ms
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
145.0ms
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
88.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
84.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify87.0ms (2.7%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049501291
149501291

prune127.0ms (3.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 0.3b

Counts
80 → 8
Compiler

Compiled 2633 to 1796 computations (31.8% saved)

regimes23.0ms (0.7%)

Compiler

Compiled 191 to 137 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample715.0ms (22.2%)

Algorithm
intervals
Results
163.0ms2042×body512valid
137.0ms4519×body128valid
58.0ms1031×body256valid
45.0ms408×body1024valid
Compiler

Compiled 208 to 153 computations (26.4% saved)

Profiling

Loading profile data...