Details

Time bar (total: 3.5s)

analyze74.0ms (2.1%)

Algorithm
search
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%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify137.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0512625

prune3.0ms (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 34 to 24 computations (29.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.4b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite96.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×pow1_binary64_2185 add-exp-log_binary64_2162
add-cbrt-cube_binary64_2160
add-sqr-sqrt_binary64_2146 add-log-exp_binary64_2163
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
unpow-prod-down_binary64_2203 pow-unpow_binary64_2201 pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 associate-*l*_binary64_2065
sum-log_binary64_2215 flip3-+_binary64_2127 flip-+_binary64_2098 +-commutative_binary64_2054
pow-pow_binary64_2196 pow-to-exp_binary64_2193 pow-exp_binary64_2192 unpow2_binary64_2189 sqr-pow_binary64_2096 unswap-sqr_binary64_2092 associate-*r*_binary64_2064 *-commutative_binary64_2055
Counts
4 → 59
Calls

4 calls:

9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
4.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 1523 to 667 computations (56.2% saved)

series698.0ms (19.8%)

Error
0b
Counts
4 → 51
Calls

4 calls:

349.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
183.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
86.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
26.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify101.0ms (2.9%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049051630
149051630

prune101.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done000
Total1101111
Error
0b
Counts
111 → 1
Compiler

Compiled 2177 to 1047 computations (51.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
2.3b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite187.0ms (5.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
55×pow1_binary64_2185
39×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
30×pow-prod-down_binary64_2195
24×prod-exp_binary64_2173 cbrt-unprod_binary64_2157
13×add-log-exp_binary64_2163
add-sqr-sqrt_binary64_2146 associate-*l*_binary64_2065
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 sum-log_binary64_2215
pow-prod-up_binary64_2194 pow-plus_binary64_2187
associate-*r*_binary64_2064 *-commutative_binary64_2055
pow2_binary64_2205 pow-sqr_binary64_2097 unswap-sqr_binary64_2092
flip3-+_binary64_2127 flip-+_binary64_2098 associate-+l+_binary64_2057 +-commutative_binary64_2054
Counts
4 → 89
Calls

4 calls:

27.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
13.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series567.0ms (16.1%)

Error
0b
Counts
4 → 33
Calls

4 calls:

341.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
93.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
68.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
31.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify82.0ms (2.3%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049801790
149801790

prune143.0ms (4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done000
Total1221123
Error
0b
Counts
123 → 1
Compiler

Compiled 3162 to 1838 computations (41.9% saved)

regimes290.0ms (8.2%)

Accuracy

Total 0.0b remaining (57.7%)

Threshold costs 0.0b (57.7%)

Compiler

Compiled 4304 to 2609 computations (39.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03337
13337

end0.0ms (0%)

sample1.0s (28.4%)

Algorithm
intervals
Results
331.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 595 to 373 computations (37.3% saved)

Profiling

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