Details

Time bar (total: 4.8s)

analyze234.0ms (4.9%)

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)

sample23.0ms (0.5%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
1.0ms15×body128nan
0.0ms1×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify170.0ms (3.6%)

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: 14.4b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize8.0ms (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)))
13.8b
(log.f64 (/.f64 x y))

rewrite33.0ms (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:

12.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms
(*.f64 x (log.f64 (/.f64 x y)))
4.0ms
(log.f64 (/.f64 x y))

series229.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
73.0ms
(*.f64 x (log.f64 (/.f64 x y)))
47.0ms
(log.f64 (/.f64 x y))

simplify119.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
052681773

prune109.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1096115
Fresh000
Picked011
Done000
Total1097116

Merged error: 0.0b

Counts
116 → 7
Compiler

Compiled 1861 to 506 computations (72.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(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:

2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)

series594.0ms (12.5%)

Counts
4 → 12
Calls

4 calls:

153.0ms
(cbrt.f64 y)
153.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 x)
135.0ms
(cbrt.f64 x)

simplify53.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05028340

prune62.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done011
Total56763

Merged error: 0.0b

Counts
63 → 7
Compiler

Compiled 1444 to 560 computations (61.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(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)

series590.0ms (12.4%)

Counts
4 → 12
Calls

4 calls:

156.0ms
(cbrt.f64 y)
151.0ms
(cbrt.f64 x)
144.0ms
(cbrt.f64 y)
139.0ms
(cbrt.f64 x)

simplify55.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05028340

prune59.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0.0b

Counts
63 → 7
Compiler

Compiled 1313 to 523 computations (60.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
3.4b
(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite15.0ms (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)

series635.0ms (13.3%)

Counts
4 → 12
Calls

4 calls:

173.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))
160.0ms
(cbrt.f64 y)
151.0ms
(cbrt.f64 y)
149.0ms
(cbrt.f64 y)

simplify114.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
04938818
14938818

prune82.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh033
Picked101
Done033
Total78785

Merged error: 0b

Counts
85 → 7
Compiler

Compiled 1907 to 723 computations (62.1% saved)

regimes305.0ms (6.4%)

Compiler

Compiled 2777 to 1937 computations (30.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02834
12834

end0.0ms (0%)

sample1.2s (25.4%)

Algorithm
1×intervals
Results
368.0ms8000×body128valid
26.0ms771×body128nan
1.0ms29×body128invalid
Compiler

Compiled 585 to 408 computations (30.3% saved)

Profiling

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