Details

Time bar (total: 3.2s)

analyze390.0ms (12.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
50%50%0.1%6
59.3%37.5%3.2%7
70.2%23.4%6.3%8
74.1%17.2%8.7%9
79.2%11.3%9.5%10
81%8.2%10.8%11
83.4%5.6%11%12
84.2%4%11.8%13
85.4%2.8%11.8%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample20.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify179.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
01287
11287

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7278 cancel-sign-sub-inv_binary64_7205
*-un-lft-identity_binary64_7239 add-sqr-sqrt_binary64_7261 add-cube-cbrt_binary64_7274
add-exp-log_binary64_7277 flip3--_binary64_7243 flip--_binary64_7214 pow1_binary64_7300 sub-neg_binary64_7232 diff-log_binary64_7331 add-cbrt-cube_binary64_7275
Counts
1 → 14
Calls

1 calls:

8.0ms
(-.f64 (*.f64 x y) x)

series42.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(-.f64 (*.f64 x y) x)

simplify98.0ms (3%)

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04944166
14944166

prune20.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh000
Picked011
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2
Compiler

Compiled 166 to 55 computations (66.9% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 x y))
3.3b
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
9.8b
(*.f64 x (*.f64 y y))
24.9b
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))

rewrite71.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
14×add-sqr-sqrt_binary64_7261
11×*-un-lft-identity_binary64_7239 pow1_binary64_7300 add-cube-cbrt_binary64_7274
add-log-exp_binary64_7278 cancel-sign-sub-inv_binary64_7205 associate-*l*_binary64_7180
cbrt-unprod_binary64_7272 prod-exp_binary64_7288
associate-*r/_binary64_7181 distribute-lft-in_binary64_7188 pow-prod-down_binary64_7310 distribute-rgt-in_binary64_7189 associate-*r*_binary64_7179
associate-/r*_binary64_7183 times-frac_binary64_7245
flip-+_binary64_7213 flip3-+_binary64_7242 flip3--_binary64_7243 flip--_binary64_7214 unswap-sqr_binary64_7207 associate-/l/_binary64_7186 *-commutative_binary64_7170 associate-/r/_binary64_7185 cbrt-undiv_binary64_7273 div-exp_binary64_7290 sub-neg_binary64_7232
frac-2neg_binary64_7250 associate-/l*_binary64_7184 div-inv_binary64_7236 +-commutative_binary64_7169 sum-log_binary64_7330 clear-num_binary64_7238
Counts
4 → 83
Calls

4 calls:

25.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))
19.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
11.0ms
(*.f64 x (*.f64 y y))
5.0ms
(+.f64 x (*.f64 x y))

series503.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

234.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))
159.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
67.0ms
(*.f64 x (*.f64 y y))
42.0ms
(+.f64 x (*.f64 x y))

simplify151.0ms (4.7%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049841478
149841478

prune124.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh000
Picked101
Done011
Total95297

Merged error: 0b

Counts
97 → 2
Compiler

Compiled 1889 to 311 computations (83.5% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 x y))
0.1b
(/.f64 x (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x)))
7.8b
(/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x))
9.8b
(*.f64 x (*.f64 y y))

rewrite92.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_7245
58×add-sqr-sqrt_binary64_7261
57×*-un-lft-identity_binary64_7239 add-cube-cbrt_binary64_7274
18×associate-/r*_binary64_7183
16×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
11×associate-/r/_binary64_7185
pow1_binary64_7300
add-log-exp_binary64_7278 associate-/l*_binary64_7184 div-inv_binary64_7236
flip3--_binary64_7243 flip--_binary64_7214
cbrt-undiv_binary64_7273 div-exp_binary64_7290
cbrt-unprod_binary64_7272 pow-prod-down_binary64_7310 prod-exp_binary64_7288 associate-*l*_binary64_7180
flip-+_binary64_7213 flip3-+_binary64_7242 frac-2neg_binary64_7250 associate-/l/_binary64_7186 clear-num_binary64_7238
unswap-sqr_binary64_7207 *-commutative_binary64_7170 +-commutative_binary64_7169 associate-*r*_binary64_7179 sum-log_binary64_7330
Counts
4 → 139
Calls

4 calls:

25.0ms
(/.f64 x (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x)))
21.0ms
(/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x))
12.0ms
(*.f64 x (*.f64 y y))
6.0ms
(+.f64 x (*.f64 x y))

series350.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

179.0ms
(/.f64 x (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x)))
89.0ms
(/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y y)) x))
46.0ms
(*.f64 x (*.f64 y y))
37.0ms
(+.f64 x (*.f64 x y))

simplify159.0ms (4.9%)

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
055434398

prune199.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh000
Picked011
Done011
Total1512153

Merged error: 0b

Counts
153 → 2
Compiler

Compiled 3904 to 568 computations (85.5% saved)

regimes72.0ms (2.2%)

Compiler

Compiled 212 to 136 computations (35.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms (0%)

sample697.0ms (21.6%)

Algorithm
intervals
Results
275.0ms8000×body128valid
2.0ms70×body128invalid
Compiler

Compiled 77 to 51 computations (33.8% saved)

Profiling

Loading profile data...