Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

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)

sample13.0ms (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify98.0ms (7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune8.0ms (0.6%)

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)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite51.0ms (3.6%)

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:

32.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 x (+.f64 x 1))

series58.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

34.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
14.0ms
(/.f64 x (+.f64 x 1))
10.0ms
(/.f64 1 (-.f64 x 1))

simplify73.0ms (5.2%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051621579

prune109.0ms (7.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110

Merged error: 0b

Counts
110 → 2
Compiler

Compiled 1875 to 1374 computations (26.7% saved)

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))
0.3b
(cbrt.f64 (-.f64 x 1))
0.3b
(cbrt.f64 (+.f64 x -1))
0.3b
(cbrt.f64 (+.f64 x -1))

rewrite31.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod_binary64_2155
36×*-un-lft-identity_binary64_2124
33×add-sqr-sqrt_binary64_2146
18×cbrt-div_binary64_2156
15×add-cube-cbrt_binary64_2159
11×pow1_binary64_2185
10×swap-sqr_binary64_2091
pow1/3_binary64_2206
distribute-lft-out_binary64_2075 associate-*l*_binary64_2065 flip3-+_binary64_2127 associate-*r*_binary64_2064 flip-+_binary64_2098
difference-of-sqr--1_binary64_2095 add-exp-log_binary64_2162
unswap-sqr_binary64_2092 add-log-exp_binary64_2163 frac-times_binary64_2134 add-cbrt-cube_binary64_2160
difference-of-squares_binary64_2093 pow-prod-down_binary64_2195 pow-prod-up_binary64_2194 associate-*l/_binary64_2067 associate-*r/_binary64_2066 pow-sqr_binary64_2097
flip--_binary64_2099 flip3--_binary64_2128 distribute-lft-out--_binary64_2076 *-commutative_binary64_2055 prod-exp_binary64_2173 pow-plus_binary64_2187 pow2_binary64_2205 difference-of-sqr-1_binary64_2094 cbrt-unprod_binary64_2157
Counts
4 → 103
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))
3.0ms
(cbrt.f64 (+.f64 x -1))
3.0ms
(cbrt.f64 (-.f64 x 1))
3.0ms
(cbrt.f64 (+.f64 x -1))

series129.0ms (9.2%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))
34.0ms
(cbrt.f64 (+.f64 x -1))
30.0ms
(cbrt.f64 (-.f64 x 1))
29.0ms
(cbrt.f64 (+.f64 x -1))

simplify68.0ms (4.9%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049361718
149361718

prune173.0ms (12.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done011
Total1152117

Merged error: 0b

Counts
117 → 2
Compiler

Compiled 3188 to 2488 computations (22% saved)

regimes32.0ms (2.3%)

Compiler

Compiled 298 to 246 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
11621

end0.0ms (0%)

sample532.0ms (38%)

Algorithm
intervals
Results
243.0ms8000×body128valid
Compiler

Compiled 163 to 136 computations (16.6% saved)

Profiling

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