Details

Time bar (total: 2.9s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 20 to 16 computations (20% saved)

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify167.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0503929

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 38 to 30 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite55.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_2146
26×associate-*l*_binary64_2065
23×add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
22×add-cube-cbrt_binary64_2159 times-frac_binary64_2130
20×sqrt-prod_binary64_2140
18×sqrt-div_binary64_2141 frac-times_binary64_2134
17×pow1_binary64_2185
15×flip--_binary64_2099 flip3--_binary64_2128
12×associate-*r*_binary64_2064
10×prod-exp_binary64_2173 associate-*r/_binary64_2066 cbrt-unprod_binary64_2157
9×associate-*l/_binary64_2067
7×pow-prod-down_binary64_2195 unswap-sqr_binary64_2092
4×add-log-exp_binary64_2163
3×*-commutative_binary64_2055
2×difference-of-squares_binary64_2093 cbrt-undiv_binary64_2158 cancel-sign-sub-inv_binary64_2090 distribute-rgt-in_binary64_2074 sub-neg_binary64_2117 div-exp_binary64_2175 distribute-lft-in_binary64_2073
1×sqrt-pow1_binary64_2142 rem-sqrt-square_binary64_2137 pow1/2_binary64_2204 div-inv_binary64_2121
Counts
4 → 129
Calls

4 calls:

19.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series180.0ms (6.2%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
58.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
25.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 3 (*.f64 v v))

simplify80.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049323693
149323693

prune214.0ms (7.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1392141
Fresh000
Picked101
Done000
Total1402142

Merged error: 0b

Counts
142 → 2
Compiler

Compiled 3922 to 2918 computations (25.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite49.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
31×associate-*l*_binary64_2065
29×add-sqr-sqrt_binary64_2146
23×add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
22×add-cube-cbrt_binary64_2159
20×sqrt-div_binary64_2141 frac-times_binary64_2134
19×flip--_binary64_2099 flip3--_binary64_2128
18×times-frac_binary64_2130
17×pow1_binary64_2185
16×sqrt-prod_binary64_2140
14×associate-*r/_binary64_2066
10×prod-exp_binary64_2173 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 cbrt-unprod_binary64_2157
7×pow-prod-down_binary64_2195 associate-*l/_binary64_2067 associate-*r*_binary64_2064
6×cancel-sign-sub-inv_binary64_2090 sub-neg_binary64_2117
4×add-log-exp_binary64_2163
3×unswap-sqr_binary64_2092 *-commutative_binary64_2055
2×difference-of-squares_binary64_2093 cbrt-undiv_binary64_2158 div-exp_binary64_2175
1×sqrt-pow1_binary64_2142 rem-sqrt-square_binary64_2137 pow1/2_binary64_2204 div-inv_binary64_2121
Counts
4 → 136
Calls

4 calls:

16.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
10.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series169.0ms (5.8%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
45.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
27.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
24.0ms
(*.f64 3 (*.f64 v v))

simplify66.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049144109
149144109

prune229.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done000
Total1482150

Merged error: 0b

Counts
150 → 2
Compiler

Compiled 4173 to 3063 computations (26.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))
2.8b
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

rewrite58.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64_2146
27×*-un-lft-identity_binary64_2124
26×associate-*l*_binary64_2065
23×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
22×add-cube-cbrt_binary64_2159 times-frac_binary64_2130
21×sqrt-prod_binary64_2140
18×pow1_binary64_2185 frac-times_binary64_2134
16×sqrt-div_binary64_2141 associate-*r*_binary64_2064
14×flip--_binary64_2099 flip3--_binary64_2128
10×prod-exp_binary64_2173 associate-*r/_binary64_2066 cbrt-unprod_binary64_2157
9×associate-*l/_binary64_2067
7×pow-prod-down_binary64_2195 unswap-sqr_binary64_2092
5×add-log-exp_binary64_2163
4×difference-of-squares_binary64_2093 log-pow_binary64_2213
3×*-commutative_binary64_2055 log-prod_binary64_2210
2×cbrt-undiv_binary64_2158 cancel-sign-sub-inv_binary64_2090 distribute-lft-out--_binary64_2076 distribute-rgt-in_binary64_2074 sub-neg_binary64_2117 div-exp_binary64_2175 distribute-lft-in_binary64_2073
1×rem-log-exp_binary64_2165 exp-to-pow_binary64_2186 exp-prod_binary64_2176 div-inv_binary64_2121
Counts
4 → 132
Calls

4 calls:

19.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
16.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
2.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

series429.0ms (14.7%)

Counts
4 → 12
Calls

4 calls:

231.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
100.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
80.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))
18.0ms
(*.f64 3 (*.f64 v v))

simplify80.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049233417
149233417

prune212.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done011
Total1442146

Merged error: 0b

Counts
146 → 2
Compiler

Compiled 3898 to 2879 computations (26.1% saved)

regimes79.0ms (2.7%)

Compiler

Compiled 964 to 791 computations (17.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05429
15429

end0.0ms (0%)

sample790.0ms (27.1%)

Algorithm
1×intervals
Results
393.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 319 to 263 computations (17.6% saved)

Profiling

Loading profile data...