Details

Time bar (total: 4.2s)

analyze230.0ms (5.5%)

Algorithm
1×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%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample22.0ms (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
1.0ms30×body128nan
0.0ms1×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify175.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
027012
127012

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b
(*.f64 x (log.f64 (/.f64 x y)))
13.0b
(log.f64 (/.f64 x y))

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
65×log-prod_binary64_12292
45×times-frac_binary64_12215
42×add-sqr-sqrt_binary64_12230
40×*-un-lft-identity_binary64_12209 add-cube-cbrt_binary64_12241
26×associate--l+_binary64_12148 distribute-rgt-in_binary64_12161 distribute-lft-in_binary64_12160
8×add-exp-log_binary64_12244
7×pow1_binary64_12267
5×add-log-exp_binary64_12245 add-cbrt-cube_binary64_12242 div-inv_binary64_12206
4×associate-*r*_binary64_12151
3×associate-*l*_binary64_12152
2×rem-log-exp_binary64_12247 log-pow_binary64_12295
1×unswap-sqr_binary64_12177 cbrt-unprod_binary64_12239 *-commutative_binary64_12142 diff-log_binary64_12298 flip--_binary64_12184 div-exp_binary64_12257 prod-exp_binary64_12255 log-div_binary64_12293 flip3--_binary64_12213 sub-neg_binary64_12202 pow-prod-down_binary64_12277
Counts
3 → 106
Calls

3 calls:

9.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms
(*.f64 x (log.f64 (/.f64 x y)))
3.0ms
(log.f64 (/.f64 x y))

series228.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
76.0ms
(*.f64 x (log.f64 (/.f64 x y)))
51.0ms
(log.f64 (/.f64 x y))

simplify115.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
052681773

prune102.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1087115
Fresh000
Picked011
Done000
Total1088116

Merged error: 0b

Counts
116 → 8
Compiler

Compiled 1884 to 515 computations (72.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64_12237
8×add-sqr-sqrt_binary64_12230 *-un-lft-identity_binary64_12209 add-cube-cbrt_binary64_12241
4×pow1_binary64_12267 add-log-exp_binary64_12245 add-cbrt-cube_binary64_12242 add-exp-log_binary64_12244 pow1/3_binary64_12288
Counts
4 → 44
Calls

4 calls:

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

series632.0ms (15.1%)

Counts
4 → 12
Calls

4 calls:

162.0ms
(cbrt.f64 x)
158.0ms
(cbrt.f64 x)
157.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)

simplify54.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05028340

prune57.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done011
Total56864

Merged error: 0b

Counts
64 → 8
Compiler

Compiled 1357 to 545 computations (59.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64_12237
8×add-sqr-sqrt_binary64_12230 *-un-lft-identity_binary64_12209 add-cube-cbrt_binary64_12241
4×pow1_binary64_12267 add-log-exp_binary64_12245 add-cbrt-cube_binary64_12242 add-exp-log_binary64_12244 pow1/3_binary64_12288
Counts
4 → 44
Calls

4 calls:

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

series621.0ms (14.9%)

Counts
4 → 12
Calls

4 calls:

160.0ms
(cbrt.f64 y)
156.0ms
(cbrt.f64 x)
155.0ms
(cbrt.f64 y)
150.0ms
(cbrt.f64 x)

simplify54.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05028340

prune62.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done022
Total56864

Merged error: 0b

Counts
64 → 8
Compiler

Compiled 1448 to 557 computations (61.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
2.3b
(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite14.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
22×log-prod_binary64_12292
20×add-sqr-sqrt_binary64_12230 *-un-lft-identity_binary64_12209 add-cube-cbrt_binary64_12241
18×cbrt-prod_binary64_12237 times-frac_binary64_12215
7×add-exp-log_binary64_12244
5×pow1_binary64_12267
4×add-log-exp_binary64_12245 add-cbrt-cube_binary64_12242
3×pow1/3_binary64_12288
2×rem-log-exp_binary64_12247
1×log-pow_binary64_12295 div-exp_binary64_12257 log-div_binary64_12293 div-inv_binary64_12206
Counts
4 → 66
Calls

4 calls:

4.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series621.0ms (14.9%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))
153.0ms
(cbrt.f64 y)
153.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)

simplify107.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04938818
14938818

prune77.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done033
Total78886

Merged error: 0b

Counts
86 → 8
Compiler

Compiled 1907 to 723 computations (62.1% saved)

regimes99.0ms (2.4%)

Compiler

Compiled 800 to 539 computations (32.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12631

end0.0ms (0%)

sample798.0ms (19.1%)

Algorithm
1×intervals
Results
366.0ms8000×body128valid
27.0ms785×body128nan
2.0ms45×body128invalid
Compiler

Compiled 193 to 131 computations (32.1% saved)

Profiling

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