Details

Time bar (total: 3.6s)

analyze265.0ms (7.4%)

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
7.0ms256×body128valid
0.0ms18×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 2 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135
add-log-exp_binary64_113
pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98 associate-*r*_binary64_19
associate-*l*_binary64_20 flip-+_binary64_51 flip3-+_binary64_80 +-commutative_binary64_9 *-commutative_binary64_10 sum-log_binary64_165
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y z) z)
4.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

series157.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

106.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
51.0ms
(*.f64 (*.f64 y z) z)

simplify89.0ms (2.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04882376
14882376

prune28.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 0.0b

Counts
36 → 6
Compiler

Compiled 441 to 136 computations (69.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_105
23×add-sqr-sqrt_binary64_98
15×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
11×pow1_binary64_135
pow1/3_binary64_156
add-exp-log_binary64_112 associate-*l*_binary64_20 swap-sqr_binary64_44 associate-*r*_binary64_19
add-cbrt-cube_binary64_110 add-log-exp_binary64_113 unswap-sqr_binary64_45
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 prod-exp_binary64_123 *-commutative_binary64_10
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series642.0ms (17.9%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(cbrt.f64 z)
171.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
150.0ms
(cbrt.f64 z)
149.0ms
(cbrt.f64 z)

simplify68.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04957563
14957563

prune68.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6
Compiler

Compiled 1466 to 474 computations (67.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.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)))

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)))

series575.0ms (16.1%)

Counts
4 → 12
Calls

4 calls:

159.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
143.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
142.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
131.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

simplify61.0ms (1.7%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04874738
14874738

prune64.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69170
Fresh033
Picked011
Done022
Total69776

Merged error: 0.0b

Counts
76 → 7
Compiler

Compiled 1666 to 395 computations (76.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
8.4b
(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 (0.4%)

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 z y))
1.0ms
(cbrt.f64 z)

series528.0ms (14.8%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(cbrt.f64 z)
145.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
121.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
96.0ms
(cbrt.f64 (*.f64 z y))

simplify99.0ms (2.8%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04901427
14901427

prune43.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh123
Picked011
Done123
Total51657

Merged error: 0.0b

Counts
57 → 6
Compiler

Compiled 1303 to 223 computations (82.9% saved)

regimes79.0ms (2.2%)

Compiler

Compiled 535 to 355 computations (33.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample521.0ms (14.5%)

Algorithm
intervals
Results
199.0ms8000×body128valid
19.0ms642×body128invalid
Compiler

Compiled 116 to 79 computations (31.9% saved)

Profiling

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