Details

Time bar (total: 1.0s)

analyze4.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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 10 computations (16.7% saved)

sample12.0ms (1.2%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify96.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite51.0ms (4.9%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_2124
41×times-frac_binary64_2130
40×add-sqr-sqrt_binary64_2146
24×add-cube-cbrt_binary64_2159
12×distribute-lft-out_binary64_2075
11×associate-/r*_binary64_2068
add-exp-log_binary64_2162
difference-of-squares_binary64_2093
add-cbrt-cube_binary64_2160
distribute-lft-out--_binary64_2076 associate-/l*_binary64_2069
add-log-exp_binary64_2163
associate-/r/_binary64_2070 pow1_binary64_2185 difference-of-sqr-1_binary64_2094
div-inv_binary64_2121 div-exp_binary64_2175
clear-num_binary64_2123 cbrt-undiv_binary64_2158 flip3-+_binary64_2127 flip-+_binary64_2098 frac-2neg_binary64_2135
flip--_binary64_2099 flip3--_binary64_2128 sum-log_binary64_2215 +-commutative_binary64_2054 pow-flip_binary64_2198 1-exp_binary64_2168 inv-pow_binary64_2209 frac-add_binary64_2132 rec-exp_binary64_2174
Counts
3 → 100
Calls

3 calls:

29.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
5.0ms
(/.f64 x (+.f64 x 1))

series50.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

28.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
12.0ms
(/.f64 x (+.f64 x 1))
10.0ms
(/.f64 1 (-.f64 x 1))

simplify68.0ms (6.5%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051621579

prune100.0ms (9.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110

Merged error: 0b

Counts
110 → 2
Compiler

Compiled 1864 to 1364 computations (26.8% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
10×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
times-frac_binary64_2130
add-log-exp_binary64_2163 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
associate-/l*_binary64_2069 associate-/r*_binary64_2068 flip3-+_binary64_2127 flip-+_binary64_2098
associate-/r/_binary64_2070 pow1_binary64_2185 associate-/l/_binary64_2071
clear-num_binary64_2123 cbrt-undiv_binary64_2158 sum-log_binary64_2215 +-commutative_binary64_2054 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
2 → 42
Calls

2 calls:

6.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))
3.0ms
(+.f64 1 (*.f64 x x))

series52.0ms (5%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))
24.0ms
(+.f64 1 (*.f64 x x))

simplify63.0ms (6.1%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05503950

prune38.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done011
Total48250

Merged error: 0b

Counts
50 → 2
Compiler

Compiled 887 to 487 computations (45.1% saved)

regimes26.0ms (2.5%)

Compiler

Compiled 180 to 142 computations (21.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample452.0ms (43.5%)

Algorithm
intervals
Results
241.0ms8000×body128valid
Compiler

Compiled 101 to 81 computations (19.8% saved)

Profiling

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