Details

Time bar (total: 1.4s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample21.0ms (1.5%)

Algorithm
intervals
Results
10.0ms256×pre128true
5.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify162.0ms (11.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07010
17010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite13.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_2143
pow1_binary64_2204
add-sqr-sqrt_binary64_2165
distribute-lft-out_binary64_2094 flip3-+_binary64_2146 flip-+_binary64_2117 swap-sqr_binary64_2110
add-cube-cbrt_binary64_2178
frac-times_binary64_2153 associate-*r*_binary64_2083 associate-*l*_binary64_2084
add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
associate-*l/_binary64_2086 associate-*r/_binary64_2085
add-log-exp_binary64_2182 pow2_binary64_2224 distribute-rgt-in_binary64_2093 pow-sqr_binary64_2116 pow-plus_binary64_2206 pow-prod-up_binary64_2213 cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192 unswap-sqr_binary64_2111 *-commutative_binary64_2074 distribute-lft-in_binary64_2092
Counts
1 → 40
Calls

1 calls:

10.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series30.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

30.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify41.0ms (2.9%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05458523

prune47.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 785 to 350 computations (55.4% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 a (+.f64 a b))
0.0b
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
0.0b
(*.f64 b (+.f64 a b))

rewrite27.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r/_binary64_2085
11×add-sqr-sqrt_binary64_2165 *-un-lft-identity_binary64_2143
associate-*r*_binary64_2083
pow1_binary64_2204 add-exp-log_binary64_2181 add-cube-cbrt_binary64_2178 flip3-+_binary64_2146 flip-+_binary64_2117 add-cbrt-cube_binary64_2179
associate-*l*_binary64_2084
add-log-exp_binary64_2182
distribute-rgt-in_binary64_2093 distribute-lft-in_binary64_2092 frac-add_binary64_2151
cbrt-unprod_binary64_2176 associate-+l+_binary64_2076 pow-prod-down_binary64_2214 prod-exp_binary64_2192 associate-+r+_binary64_2075 distribute-lft-out_binary64_2094 unswap-sqr_binary64_2111 *-commutative_binary64_2074
+-commutative_binary64_2073 sum-log_binary64_2234 distribute-rgt-out_binary64_2096
Counts
3 → 66
Calls

3 calls:

9.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
7.0ms
(*.f64 b (+.f64 a b))
7.0ms
(*.f64 a (+.f64 a b))

series110.0ms (7.8%)

Counts
3 → 9
Calls

3 calls:

37.0ms
(*.f64 b (+.f64 a b))
37.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
36.0ms
(*.f64 a (+.f64 a b))

simplify63.0ms (4.5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05498903

prune58.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh101
Picked011
Done101
Total76278

Merged error: 0b

Counts
78 → 2
Compiler

Compiled 1349 to 376 computations (72.1% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 a (+.f64 b a))
0.0b
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 b a))))
0.0b
(*.f64 b (+.f64 a (+.f64 b a)))

rewrite23.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64_2143
10×add-log-exp_binary64_2182
add-sqr-sqrt_binary64_2165
distribute-lft-out_binary64_2094
pow1_binary64_2204 associate-*r*_binary64_2083 add-exp-log_binary64_2181 add-cube-cbrt_binary64_2178 add-cbrt-cube_binary64_2179
sum-log_binary64_2234
associate-*l*_binary64_2084 associate-+r+_binary64_2075 flip3-+_binary64_2146 flip-+_binary64_2117
+-commutative_binary64_2073 distribute-rgt-in_binary64_2093 associate-*r/_binary64_2085 distribute-lft-in_binary64_2092
cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192 unswap-sqr_binary64_2111 *-commutative_binary64_2074
Counts
3 → 52
Calls

3 calls:

9.0ms
(*.f64 b (+.f64 a (+.f64 b a)))
6.0ms
(+.f64 a (+.f64 b a))
5.0ms
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 b a))))

series123.0ms (8.7%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 b (+.f64 a (+.f64 b a)))
38.0ms
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 b a))))
34.0ms
(+.f64 a (+.f64 b a))

simplify64.0ms (4.5%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04928717
14928717

prune34.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done011
Total61263

Merged error: 0b

Counts
63 → 2
Compiler

Compiled 899 to 183 computations (79.6% saved)

regimes17.0ms (1.2%)

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample552.0ms (39.3%)

Algorithm
intervals
Results
186.0ms8000×pre128true
145.0ms8000×body128valid
Compiler

Compiled 64 to 41 computations (35.9% saved)

Profiling

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