Details

Time bar (total: 3.6s)

analyze271.0ms (7.6%)

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
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify168.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01310
11310

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 y z) z)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135
pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123 associate-*r*_binary64_19
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
associate-*l*_binary64_20 add-log-exp_binary64_113 *-commutative_binary64_10
Counts
1 → 18
Calls

1 calls:

5.0ms
(*.f64 (*.f64 y z) z)

series47.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(*.f64 (*.f64 y z) z)

simplify58.0ms (1.6%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04935177
14935177

prune23.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.0b

Counts
22 → 5
Compiler

Compiled 258 to 92 computations (64.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite24.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_135
10×add-sqr-sqrt_binary64_98
pow1/3_binary64_156
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
cbrt-prod_binary64_105
add-exp-log_binary64_112
associate-*l*_binary64_20 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 swap-sqr_binary64_44 associate-*r*_binary64_19
pow-prod-down_binary64_145 pow-sqr_binary64_50 pow-prod-up_binary64_144
pow2_binary64_155 cbrt-unprod_binary64_107 pow-plus_binary64_137 unswap-sqr_binary64_45 prod-exp_binary64_123 *-commutative_binary64_10
Counts
4 → 58
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

series632.0ms (17.7%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
156.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
152.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
141.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

simplify61.0ms (1.7%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04874738
14874738

prune68.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh123
Picked011
Done011
Total69675

Merged error: 0.0b

Counts
75 → 6
Compiler

Compiled 1680 to 398 computations (76.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
12.7b
(cbrt.f64 (*.f64 y z))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.5b
(cbrt.f64 (*.f64 z (*.f64 z y)))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_105
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 pow1_binary64_135 pow1/3_binary64_156
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
2.0ms
(cbrt.f64 (*.f64 y z))
2.0ms
(cbrt.f64 z)

series567.0ms (15.9%)

Counts
4 → 12
Calls

4 calls:

153.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
152.0ms
(cbrt.f64 z)
144.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
118.0ms
(cbrt.f64 (*.f64 y z))

simplify95.0ms (2.7%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04901427
14901427

prune48.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh033
Picked011
Done112
Total50656

Merged error: 0.0b

Counts
56 → 6
Compiler

Compiled 1383 to 276 computations (80% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
12.7b
(cbrt.f64 (*.f64 z y))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.5b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_105
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 pow1_binary64_135 pow1/3_binary64_156
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
2.0ms
(cbrt.f64 (*.f64 z y))
1.0ms
(cbrt.f64 z)

series532.0ms (14.9%)

Counts
4 → 12
Calls

4 calls:

158.0ms
(cbrt.f64 z)
141.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
126.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
107.0ms
(cbrt.f64 (*.f64 z y))

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04901427
14901427

prune43.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh033
Picked011
Done022
Total50656

Merged error: 0.0b

Counts
56 → 6
Compiler

Compiled 1303 to 227 computations (82.6% saved)

regimes113.0ms (3.2%)

Compiler

Compiled 1065 to 665 computations (37.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample626.0ms (17.5%)

Algorithm
intervals
Results
204.0ms8000×body128valid
17.0ms681×body128invalid
Compiler

Compiled 222 to 141 computations (36.5% saved)

Profiling

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