Details

Time bar (total: 5.0s)

analyze314.0ms (6.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0492386
1492386
022
122
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
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample31.0ms (0.6%)

Algorithm
intervals
Results
16.0ms256×body128valid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify82.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0491543
1491543

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.7b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite203.0ms (4%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
19×add-sqr-sqrt_binary64_2146
18×associate-*r/_binary64_2066
17×pow1_binary64_2185 add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124
16×add-cbrt-cube_binary64_2160
13×associate-*r*_binary64_2064
12×add-cube-cbrt_binary64_2159
pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 cancel-sign-sub-inv_binary64_2090
associate-*l*_binary64_2065
add-log-exp_binary64_2163 flip3-+_binary64_2127 flip-+_binary64_2098 frac-add_binary64_2132
unswap-sqr_binary64_2092 *-commutative_binary64_2055 unpow-prod-down_binary64_2203 pow-unpow_binary64_2201 flip3--_binary64_2128 flip--_binary64_2099
sub-neg_binary64_2117 difference-of-squares_binary64_2093
distribute-lft-out_binary64_2075 pow-pow_binary64_2196 pow-to-exp_binary64_2193 pow-exp_binary64_2192 unpow2_binary64_2189 sqr-pow_binary64_2096 distribute-lft-out--_binary64_2076
Counts
4 → 100
Calls

4 calls:

14.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3912 to 2021 computations (48.3% saved)

series551.0ms (11%)

Error
0.0b
Counts
4 → 43
Calls

4 calls:

197.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
161.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
79.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
55.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 3151 to 2238 computations (29% saved)

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049302303
149302303

prune209.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1421143
Fresh000
Picked011
Done000
Total1422144
Error
0.0b
Counts
144 → 2
Compiler

Compiled 4797 to 2487 computations (48.2% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.7b
(*.f64 a (*.f64 b b))
0.7b
(*.f64 (*.f64 b b) (+.f64 3 a))
0.9b
(*.f64 a (*.f64 a (*.f64 b b)))

rewrite215.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
16×add-sqr-sqrt_binary64_2146
15×pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 *-un-lft-identity_binary64_2124
12×associate-*r*_binary64_2064
10×add-cube-cbrt_binary64_2159
associate-*l*_binary64_2065
cancel-sign-sub-inv_binary64_2090
distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073
add-log-exp_binary64_2163 *-commutative_binary64_2055 associate-*r/_binary64_2066
unswap-sqr_binary64_2092
sub-neg_binary64_2117 difference-of-squares_binary64_2093
flip3-+_binary64_2127 flip-+_binary64_2098 distribute-lft-out_binary64_2075 flip3--_binary64_2128 flip--_binary64_2099 distribute-lft-out--_binary64_2076
Counts
4 → 96
Calls

4 calls:

13.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
8.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
6.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series329.0ms (6.5%)

Error
0b
Counts
4 → 26
Calls

4 calls:

87.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
79.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
66.0ms
(*.f64 a (*.f64 b b))
57.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 2701 to 1928 computations (28.6% saved)

simplify92.0ms (1.8%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049291219
149291219

prune210.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh000
Picked101
Done011
Total1222124
Error
0b
Counts
124 → 2
Compiler

Compiled 4856 to 2738 computations (43.6% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 a a) (pow.f64 a 3))
0.7b
(*.f64 a (*.f64 b b))
0.7b
(*.f64 (*.f64 b b) (+.f64 3 a))
0.9b
(*.f64 a (*.f64 a (*.f64 b b)))

rewrite208.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
15×add-sqr-sqrt_binary64_2146
12×pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 *-un-lft-identity_binary64_2124 cancel-sign-sub-inv_binary64_2090
10×add-cube-cbrt_binary64_2159
associate-*l*_binary64_2065
add-log-exp_binary64_2163 associate-*r*_binary64_2064
unpow-prod-down_binary64_2203 difference-of-squares_binary64_2093 cube-prod_binary64_2152
*-commutative_binary64_2055
unswap-sqr_binary64_2092 associate-*r/_binary64_2066 sqr-pow_binary64_2096 unpow3_binary64_2190 cube-mult_binary64_2154
distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 flip3-+_binary64_2127 flip-+_binary64_2098 distribute-lft-out_binary64_2075 diff-log_binary64_2216 flip3--_binary64_2128 sub-neg_binary64_2117 flip--_binary64_2099 distribute-rgt-out--_binary64_2078 distribute-lft-out--_binary64_2076
Counts
4 → 93
Calls

4 calls:

11.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
8.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
7.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
6.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 4042 to 2208 computations (45.4% saved)

series321.0ms (6.4%)

Error
0b
Counts
4 → 26
Calls

4 calls:

77.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
74.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
66.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
62.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 2701 to 1928 computations (28.6% saved)

simplify74.0ms (1.5%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049611201
149611201

prune209.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done011
Total1192121
Error
0b
Counts
121 → 2
Compiler

Compiled 4706 to 2638 computations (43.9% saved)

regimes341.0ms (6.8%)

Accuracy

Total 0.0b remaining (55.8%)

Threshold costs 0.0b (55.8%)

Compiler

Compiled 5104 to 3461 computations (32.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05655
15655

end0.0ms (0%)

sample1.5s (29.7%)

Algorithm
intervals
Results
532.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 968 to 663 computations (31.5% saved)

Profiling

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