Details

Time bar (total: 4.0s)

analyze137.0ms (3.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0504713
011
111
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample26.0ms (0.7%)

Algorithm
intervals
Results
13.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify51.0ms (1.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0504713

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 4 (/.f64 1 (*.f64 i i)))
0.2b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.3b
(/.f64 1 (*.f64 i i))

rewrite135.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
45×add-sqr-sqrt_binary64_2146
40×times-frac_binary64_2130 *-un-lft-identity_binary64_2124
20×add-cube-cbrt_binary64_2159
16×add-exp-log_binary64_2162
15×difference-of-squares_binary64_2093
11×pow1_binary64_2185
10×add-cbrt-cube_binary64_2160 distribute-lft-out--_binary64_2076
associate-/r*_binary64_2068
div-inv_binary64_2121
cancel-sign-sub-inv_binary64_2090
pow-flip_binary64_2198 associate-/l*_binary64_2069
div-exp_binary64_2175 add-log-exp_binary64_2163
prod-exp_binary64_2173 cbrt-undiv_binary64_2158
1-exp_binary64_2168 rec-exp_binary64_2174 frac-2neg_binary64_2135 clear-num_binary64_2123 flip3--_binary64_2128 associate-/r/_binary64_2070 flip--_binary64_2099
inv-pow_binary64_2209 pow2_binary64_2205 pow-prod-down_binary64_2195 pow-prod-up_binary64_2194 pow-plus_binary64_2187 pow-sqr_binary64_2097 cbrt-unprod_binary64_2157 diff-log_binary64_2216 sub-neg_binary64_2117
Counts
3 → 104
Calls

3 calls:

8.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
6.0ms
(-.f64 4 (/.f64 1 (*.f64 i i)))
5.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1735 to 1291 computations (25.6% saved)

series110.0ms (2.7%)

Error
0b
Counts
3 → 21
Calls

3 calls:

45.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
28.0ms
(-.f64 4 (/.f64 1 (*.f64 i i)))
19.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 502 to 466 computations (7.2% saved)

simplify87.0ms (2.2%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048551662
148551662

prune101.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh011
Picked011
Done000
Total1243127
Error
0b
Counts
127 → 3
Compiler

Compiled 1662 to 1247 computations (25% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6))) (*.f64 16 (pow.f64 i 8)))
0.0b
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
0.0b
(*.f64 16 (pow.f64 i 8))

rewrite195.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×associate--l+_binary64_2061
24×cancel-sign-sub-inv_binary64_2090
20×add-log-exp_binary64_2163
18×add-sqr-sqrt_binary64_2146
13×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 unpow-prod-down_binary64_2203
10×diff-log_binary64_2216
add-exp-log_binary64_2162
associate-*r*_binary64_2064
add-cbrt-cube_binary64_2160 sub-neg_binary64_2117
sqr-pow_binary64_2096
pow1_binary64_2185
prod-exp_binary64_2173 unswap-sqr_binary64_2092 associate-*l*_binary64_2065 flip3--_binary64_2128 flip--_binary64_2099
associate--l-_binary64_2062
pow-to-exp_binary64_2193 pow-exp_binary64_2192 cbrt-unprod_binary64_2157 *-commutative_binary64_2055
Counts
4 → 90
Calls

4 calls:

15.0ms
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6))) (*.f64 16 (pow.f64 i 8)))
14.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
7.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
6.0ms
(*.f64 16 (pow.f64 i 8))
Compiler

Compiled 2771 to 2021 computations (27.1% saved)

series327.0ms (8.2%)

Error
0b
Counts
4 → 24
Calls

4 calls:

152.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
76.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
44.0ms
(*.f64 16 (pow.f64 i 8))
34.0ms
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6))) (*.f64 16 (pow.f64 i 8)))
Compiler

Compiled 999 to 840 computations (15.9% saved)

simplify84.0ms (2.1%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
048882054
148882054

prune145.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117
Error
0b
Counts
117 → 3
Compiler

Compiled 2776 to 2022 computations (27.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 i i) (*.f64 i i))
18.0b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
42.2b
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

rewrite569.0ms (14.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
302×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
168×prod-exp_binary64_2173 cbrt-unprod_binary64_2157
114×pow1_binary64_2185
76×div-exp_binary64_2175 cbrt-undiv_binary64_2158
38×times-frac_binary64_2130
36×pow-prod-up_binary64_2194
23×pow-prod-down_binary64_2195
22×add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124 pow-sqr_binary64_2097
18×pow-plus_binary64_2187
16×add-cube-cbrt_binary64_2159
13×pow2_binary64_2205
12×difference-of-squares_binary64_2093
div-inv_binary64_2121
associate-/r*_binary64_2068
associate-/l*_binary64_2069 difference-of-sqr-1_binary64_2094
add-log-exp_binary64_2163
frac-2neg_binary64_2135 clear-num_binary64_2123 associate-/r/_binary64_2070
associate-/l/_binary64_2071 flip3--_binary64_2128 flip--_binary64_2099 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 associate-*l*_binary64_2065 associate-*r*_binary64_2064 *-commutative_binary64_2055
Counts
3 → 232
Calls

3 calls:

36.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
27.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))
9.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
Compiler

Compiled 9470 to 5326 computations (43.8% saved)

series144.0ms (3.6%)

Error
0b
Counts
3 → 18
Calls

3 calls:

73.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
29.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))
27.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
Compiler

Compiled 638 to 547 computations (14.3% saved)

simplify120.0ms (3%)

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048693583
148693583

prune279.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2500250
Fresh000
Picked011
Done022
Total2503253
Error
0b
Counts
253 → 3
Compiler

Compiled 4885 to 3483 computations (28.7% saved)

regimes113.0ms (2.8%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 1076 to 921 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03522
13522

end0.0ms (0%)

sample1.3s (33.4%)

Algorithm
intervals
Results
415.0ms8000×body128valid
102.0ms8000×pre128true
Compiler

Compiled 518 to 451 computations (12.9% saved)

Profiling

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