Details

Time bar (total: 4.5s)

analyze269.0ms (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 (0.3%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms29×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify97.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01310
11310

prune2.0ms (0%)

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 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) z))
0.2b
(*.f64 (*.f64 y z) z)

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
add-log-exp_binary64_117
add-sqr-sqrt_binary64_100 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 associate-*r*_binary64_18 pow-prod-down_binary64_149 *-un-lft-identity_binary64_78
+-commutative_binary64_8 *-commutative_binary64_9 associate-*l*_binary64_19 flip-+_binary64_52 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y z) z)
3.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

series177.0ms (3.9%)

Counts
2 → 24
Calls

2 calls:

120.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
57.0ms
(*.f64 (*.f64 y z) z)
Compiler

Compiled 257 to 270 computations (-5.1% saved)

simplify61.0ms (1.4%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04963521
14963521

prune36.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7
Compiler

Compiled 564 to 166 computations (70.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
20.3b
(cbrt.f64 (*.f64 z (*.f64 y z)))
20.3b
(cbrt.f64 (*.f64 z (*.f64 y z)))
20.3b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_139
10×add-sqr-sqrt_binary64_100
pow1/3_binary64_160
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
cbrt-prod_binary64_109
add-exp-log_binary64_116
add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-log-exp_binary64_117 swap-sqr_binary64_45 associate-*r*_binary64_18
pow-sqr_binary64_51 pow-prod-up_binary64_148 pow-prod-down_binary64_149
pow2_binary64_159 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 unswap-sqr_binary64_46 pow-plus_binary64_141
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.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)))

series978.0ms (21.7%)

Counts
4 → 24
Calls

4 calls:

285.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
235.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
230.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
227.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
Compiler

Compiled 1216 to 856 computations (29.6% saved)

simplify68.0ms (1.5%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04931820
14931820

prune69.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New80282
Fresh145
Picked011
Done011
Total81889

Merged error: 0.0b

Counts
89 → 8
Compiler

Compiled 1923 to 444 computations (76.9% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
9.6b
(cbrt.f64 (*.f64 z y))
20.3b
(cbrt.f64 (*.f64 z (*.f64 y z)))
20.3b
(cbrt.f64 (*.f64 z (*.f64 z y)))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_109
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
Counts
4 → 38
Calls

4 calls:

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

series768.0ms (17%)

Counts
4 → 21
Calls

4 calls:

233.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
228.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
214.0ms
(cbrt.f64 (*.f64 z y))
93.0ms
(cbrt.f64 z)
Compiler

Compiled 1154 to 866 computations (25% saved)

simplify70.0ms (1.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05351503

prune54.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New58159
Fresh145
Picked011
Done022
Total59867

Merged error: 0.0b

Counts
67 → 8
Compiler

Compiled 1591 to 334 computations (79% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

9.6b
(cbrt.f64 (*.f64 z y))
9.6b
(cbrt.f64 (*.f64 z y))
20.3b
(cbrt.f64 (*.f64 z (*.f64 y z)))
20.3b
(cbrt.f64 (*.f64 z (*.f64 z y)))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_114 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 add-cube-cbrt_binary64_113 pow1/3_binary64_160 add-exp-log_binary64_116 cbrt-prod_binary64_109 *-un-lft-identity_binary64_78 pow1_binary64_139
Counts
4 → 36
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
3.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
2.0ms
(cbrt.f64 (*.f64 z y))
2.0ms
(cbrt.f64 (*.f64 z y))

series900.0ms (20%)

Counts
4 → 24
Calls

4 calls:

251.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
232.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
209.0ms
(cbrt.f64 (*.f64 z y))
208.0ms
(cbrt.f64 (*.f64 z y))
Compiler

Compiled 1956 to 1200 computations (38.7% saved)

simplify46.0ms (1%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05031536

prune59.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done033
Total60868

Merged error: 0.0b

Counts
68 → 8
Compiler

Compiled 2310 to 304 computations (86.8% saved)

regimes123.0ms (2.7%)

Compiler

Compiled 1090 to 725 computations (33.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample605.0ms (13.4%)

Algorithm
intervals
Results
201.0ms8000×body128valid
19.0ms662×body128invalid
Compiler

Compiled 227 to 153 computations (32.6% saved)

Profiling

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