Details

Time bar (total: 5.2s)

analyze418.0ms (8.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify100.0ms (1.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
33610
44710
56710
69210
711310
814410
915410
1014910
1112610

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.4b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
3.4b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
times-frac_binary64_19862
add-cbrt-cube_binary64_19892 add-log-exp_binary64_19895 add-exp-log_binary64_19894
associate-/r*_binary64_19800 associate-/l*_binary64_19801
flip3--_binary64_19860 pow1_binary64_19917 flip--_binary64_19831 associate-/r/_binary64_19802
cbrt-undiv_binary64_19890 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 div-exp_binary64_19907 diff-log_binary64_19948 clear-num_binary64_19855 div-inv_binary64_19853 frac-2neg_binary64_19867
Counts
2 → 41
Calls

2 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms
(-.f64 y (*.f64 z t))

series310.0ms (6%)

Counts
2 → 48
Calls

2 calls:

228.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
82.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1066 to 915 computations (14.2% saved)

simplify85.0ms (1.6%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01081502
12651445
28721363
339401363
449271363
549991363
649441363

prune65.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh000
Picked101
Done000
Total83790
Error
3.3b
Counts
90 → 7
Compiler

Compiled 1194 to 269 computations (77.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
0.3b
(/.f64 1 (-.f64 y (*.f64 z t)))
3.5b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_19878
20×*-un-lft-identity_binary64_19856 times-frac_binary64_19862
19×add-cube-cbrt_binary64_19891
16×add-exp-log_binary64_19894
15×associate-*r*_binary64_19796
10×add-cbrt-cube_binary64_19892
pow1_binary64_19917
add-log-exp_binary64_19895
prod-exp_binary64_19905 div-exp_binary64_19907 associate-/r/_binary64_19802
flip3--_binary64_19860 associate-/r*_binary64_19800 unswap-sqr_binary64_19824 flip--_binary64_19831 associate-*l*_binary64_19797 associate-/l*_binary64_19801
cbrt-undiv_binary64_19890 rec-exp_binary64_19906 div-inv_binary64_19853 cbrt-unprod_binary64_19889 1-exp_binary64_19900
inv-pow_binary64_19941 *-commutative_binary64_19787 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 associate-*r/_binary64_19798 clear-num_binary64_19855 pow-prod-down_binary64_19927 un-div-inv_binary64_19854 frac-2neg_binary64_19867 pow-flip_binary64_19930
Counts
3 → 83
Calls

3 calls:

9.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))
4.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))
3.0ms
(-.f64 y (*.f64 z t))

series456.0ms (8.8%)

Counts
3 → 75
Calls

3 calls:

227.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))
147.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))
83.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1925 to 1664 computations (13.6% saved)

simplify71.0ms (1.4%)

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472672
13762524
213282415
346812415
450092415

prune101.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh066
Picked011
Done000
Total1587165
Error
3.3b
Counts
165 → 7
Compiler

Compiled 2300 to 723 computations (68.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
0.4b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
3.4b
(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64_19862
53×add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
16×associate-/r*_binary64_19800 add-exp-log_binary64_19894
10×add-cbrt-cube_binary64_19892
div-exp_binary64_19907
div-inv_binary64_19853 associate-/l*_binary64_19801
add-log-exp_binary64_19895
cbrt-undiv_binary64_19890 pow1_binary64_19917
flip3--_binary64_19860 rec-exp_binary64_19906 associate-/l/_binary64_19803 flip--_binary64_19831 clear-num_binary64_19855 frac-2neg_binary64_19867 1-exp_binary64_19900
inv-pow_binary64_19941 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 div-sub_binary64_19861 pow-flip_binary64_19930 associate-/r/_binary64_19802
Counts
3 → 118
Calls

3 calls:

7.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
7.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)
3.0ms
(-.f64 y (*.f64 z t))

series488.0ms (9.4%)

Counts
3 → 69
Calls

3 calls:

217.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
193.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)
78.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1441 to 1285 computations (10.8% saved)

simplify78.0ms (1.5%)

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873551
14553311
216043223
347183223
452913223

prune115.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh055
Picked011
Done011
Total1877194
Error
3.3b
Counts
194 → 7
Compiler

Compiled 2787 to 689 computations (75.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b
(/.f64 x (-.f64 y (*.f64 z t)))
14.2b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
14.2b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
14.2b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod_binary64_19887
36×times-frac_binary64_19862
33×add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
associate-/r/_binary64_19802
add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
flip3--_binary64_19860 pow1_binary64_19917 flip--_binary64_19831 div-inv_binary64_19853 add-log-exp_binary64_19895
associate-/r*_binary64_19800 pow1/3_binary64_19938 cbrt-div_binary64_19888 associate-/l*_binary64_19801
cbrt-undiv_binary64_19890 div-exp_binary64_19907 clear-num_binary64_19855 frac-2neg_binary64_19867
Counts
4 → 101
Calls

4 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

series1.4s (26.9%)

Counts
4 → 84
Calls

4 calls:

388.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
387.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
377.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
242.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
Compiler

Compiled 5996 to 3855 computations (35.7% saved)

simplify118.0ms (2.3%)

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02144677
15414551
216074376
348854253
445454068
548424068
649564068

prune150.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh044
Picked011
Done022
Total1857192
Error
3.3b
Counts
192 → 7
Compiler

Compiled 6284 to 663 computations (89.4% saved)

regimes276.0ms (5.3%)

Accuracy

Total 0.1b remaining (3%)

Threshold costs 0.1b (3%)

Compiler

Compiled 2719 to 1874 computations (31.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
33010
43410
53510
63510

end0.0ms (0%)

sample814.0ms (15.7%)

Algorithm
intervals
Results
227.0ms8000×body128valid
10.0ms362×body128invalid
Compiler

Compiled 435 to 298 computations (31.5% saved)

Profiling

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