Details

Time bar (total: 6.2s)

analyze294.0ms (4.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0509250
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%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 (0.3%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify43.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0512625

prune3.0ms (0%)

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 (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite104.0ms (1.7%)

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:

8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
5.0ms
(*.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)

series1.1s (17.4%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

541.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
292.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
143.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
42.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify94.0ms (1.5%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049051630
149051630

prune122.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done000
Total1092111
Error
0b
Counts
111 → 2
Compiler

Compiled 2206 to 1063 computations (51.8% saved)

localize14.0ms (0.2%)

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))
1.4b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite198.0ms (3.2%)

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))
5.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series888.0ms (14.3%)

Error
0b
Counts
4 → 33
Calls

4 calls:

531.0ms
(+.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)))
154.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
118.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
45.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049801790
149801790

prune167.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done000
Total1222124
Error
0b
Counts
124 → 2
Compiler

Compiled 3191 to 1854 computations (41.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b))) 2)
0.7b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b))) 4)
9.4b
(cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b)))
9.4b
(cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b)))

rewrite132.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
12×add-cube-cbrt_binary64_2159 cbrt-prod_binary64_2155 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124 unpow-prod-down_binary64_2203
pow1_binary64_2185 add-exp-log_binary64_2162 pow-unpow_binary64_2201
pow1/3_binary64_2206 add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160 cbrt-div_binary64_2156 pow-pow_binary64_2196
flip3-+_binary64_2127 flip-+_binary64_2098 pow-to-exp_binary64_2193 pow-exp_binary64_2192 sqr-pow_binary64_2096
unpow2_binary64_2189
Counts
4 → 69
Calls

4 calls:

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

Compiled 2656 to 906 computations (65.9% saved)

series1.4s (23.2%)

Error
0b
Counts
4 → 51
Calls

4 calls:

570.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b))) 4)
303.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b))) 2)
246.0ms
(cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b)))
239.0ms
(cbrt.f64 (+.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 4650 to 3372 computations (27.5% saved)

simplify67.0ms (1.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049562141
149562141

prune185.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122
Error
0b
Counts
122 → 2
Compiler

Compiled 4003 to 1624 computations (59.4% saved)

regimes294.0ms (4.7%)

Accuracy

Total 0.0b remaining (57.2%)

Threshold costs 0.0b (57.2%)

Compiler

Compiled 3692 to 2339 computations (36.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03337
13337

end0.0ms (0%)

sample963.0ms (15.5%)

Algorithm
intervals
Results
326.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 523 to 341 computations (34.8% saved)

Profiling

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