Details

Time bar (total: 8.8s)

analyze770.0ms (8.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0489491
1489491
044
144
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
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms18×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
077213
177213

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.9b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t z))
5.8b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite109.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_19878
12×*-un-lft-identity_binary64_19856 flip3--_binary64_19860 flip--_binary64_19831
add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
add-cube-cbrt_binary64_19891 frac-times_binary64_19866 associate-/r/_binary64_19802
cancel-sign-sub-inv_binary64_19822
associate-*l*_binary64_19797 associate-*r*_binary64_19796
pow1_binary64_19917 associate-*l/_binary64_19799 associate-*r/_binary64_19798 distribute-rgt-in_binary64_19806 distribute-lft-in_binary64_19805
times-frac_binary64_19862 associate-/l*_binary64_19801
prod-exp_binary64_19905 div-exp_binary64_19907 add-log-exp_binary64_19895 cbrt-undiv_binary64_19890 cbrt-unprod_binary64_19889 sub-neg_binary64_19849 difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
frac-2neg_binary64_19867 clear-num_binary64_19855 div-inv_binary64_19853 associate-/r*_binary64_19800 pow-prod-down_binary64_19927 unswap-sqr_binary64_19824 *-commutative_binary64_19787
Counts
2 → 67
Calls

2 calls:

10.0ms
(*.f64 (-.f64 y z) (-.f64 t z))
9.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
Compiler

Compiled 1248 to 314 computations (74.8% saved)

series927.0ms (10.6%)

Error
5.8b
Counts
2 → 50
Calls

2 calls:

627.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
234.0ms
(*.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 3189 to 1984 computations (37.8% saved)

simplify58.0ms (0.7%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
055682637

prune137.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1116117
Fresh000
Picked011
Done000
Total1117118
Error
0b
Counts
118 → 7
Compiler

Compiled 2258 to 652 computations (71.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 y z))
2.5b
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite222.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
210×times-frac_binary64_19862
176×add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
88×add-cube-cbrt_binary64_19891
44×difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
24×associate-/l*_binary64_19801
16×associate-/r/_binary64_19802
10×associate-/r*_binary64_19800
add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
div-inv_binary64_19853 flip3--_binary64_19860 flip--_binary64_19831
div-exp_binary64_19907 cbrt-undiv_binary64_19890
pow1_binary64_19917 add-log-exp_binary64_19895 frac-2neg_binary64_19867 clear-num_binary64_19855
associate-/l/_binary64_19803
Counts
2 → 185
Calls

2 calls:

16.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms
(/.f64 x (-.f64 y z))
Compiler

Compiled 3948 to 773 computations (80.4% saved)

series870.0ms (9.9%)

Error
0b
Counts
2 → 53
Calls

2 calls:

625.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
180.0ms
(/.f64 x (-.f64 y z))
Compiler

Compiled 3517 to 2211 computations (37.1% saved)

simplify111.0ms (1.3%)

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049936625
149936625

prune217.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2380238
Fresh055
Picked011
Done011
Total2387245
Error
0b
Counts
245 → 7
Compiler

Compiled 5100 to 1020 computations (80% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 y z))
0.0b
(/.f64 x (-.f64 t z))
3.3b
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite197.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
86×add-sqr-sqrt_binary64_19878
71×*-un-lft-identity_binary64_19856
67×times-frac_binary64_19862
41×add-cube-cbrt_binary64_19891
31×add-exp-log_binary64_19894
21×associate-*l*_binary64_19797 associate-*r*_binary64_19796
19×add-cbrt-cube_binary64_19892
14×difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
11×div-exp_binary64_19907
10×associate-/r*_binary64_19800
prod-exp_binary64_19905 associate-/r/_binary64_19802
pow1_binary64_19917 cbrt-undiv_binary64_19890 unswap-sqr_binary64_19824 associate-/l*_binary64_19801
cbrt-unprod_binary64_19889 div-inv_binary64_19853 flip3--_binary64_19860 flip--_binary64_19831
1-exp_binary64_19900 rec-exp_binary64_19906 add-log-exp_binary64_19895
frac-2neg_binary64_19867 clear-num_binary64_19855
pow-prod-down_binary64_19927 frac-times_binary64_19866 associate-*l/_binary64_19799 associate-*r/_binary64_19798 *-commutative_binary64_19787 inv-pow_binary64_19941 pow-flip_binary64_19930
Counts
3 → 150
Calls

3 calls:

21.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
5.0ms
(/.f64 1 (-.f64 y z))
5.0ms
(/.f64 x (-.f64 t z))
Compiler

Compiled 2938 to 1021 computations (65.2% saved)

series948.0ms (10.8%)

Error
0b
Counts
3 → 68
Calls

3 calls:

620.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
142.0ms
(/.f64 x (-.f64 t z))
101.0ms
(/.f64 1 (-.f64 y z))
Compiler

Compiled 4162 to 2722 computations (34.6% saved)

simplify86.0ms (1%)

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050744357

prune218.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2171218
Fresh134
Picked011
Done022
Total2187225
Error
0b
Counts
225 → 7
Compiler

Compiled 4258 to 1329 computations (68.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (-.f64 y z))
0.0b
(/.f64 (-.f64 t z) x)
0.5b
(/.f64 1 (/.f64 (-.f64 t z) x))
3.3b
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 1 (/.f64 (-.f64 t z) x)))

rewrite488.0ms (5.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
292×times-frac_binary64_19862
247×add-sqr-sqrt_binary64_19878
211×*-un-lft-identity_binary64_19856
136×add-cube-cbrt_binary64_19891
104×add-exp-log_binary64_19894
62×associate-*r*_binary64_19796
52×div-exp_binary64_19907
34×add-cbrt-cube_binary64_19892
32×difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
28×prod-exp_binary64_19905
27×associate-/r*_binary64_19800
21×associate-*l*_binary64_19797
18×1-exp_binary64_19900 rec-exp_binary64_19906
15×unswap-sqr_binary64_19824
14×cbrt-undiv_binary64_19890
12×div-inv_binary64_19853
11×associate-/l*_binary64_19801
10×pow1_binary64_19917
cbrt-unprod_binary64_19889 associate-/r/_binary64_19802
inv-pow_binary64_19941 pow-flip_binary64_19930 add-log-exp_binary64_19895
pow-prod-down_binary64_19927 flip3--_binary64_19860 flip--_binary64_19831 frac-2neg_binary64_19867 clear-num_binary64_19855
associate-/l/_binary64_19803
frac-times_binary64_19866 un-div-inv_binary64_19854 associate-*l/_binary64_19799 associate-*r/_binary64_19798 *-commutative_binary64_19787 div-sub_binary64_19861
Counts
4 → 326
Calls

4 calls:

44.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 1 (/.f64 (-.f64 t z) x)))
8.0ms
(/.f64 1 (/.f64 (-.f64 t z) x))
6.0ms
(/.f64 (-.f64 t z) x)
5.0ms
(/.f64 1 (-.f64 y z))
Compiler

Compiled 7573 to 3179 computations (58% saved)

series1.1s (12.6%)

Error
0b
Counts
4 → 83
Calls

4 calls:

613.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 1 (/.f64 (-.f64 t z) x)))
155.0ms
(/.f64 (-.f64 t z) x)
146.0ms
(/.f64 1 (/.f64 (-.f64 t z) x))
97.0ms
(/.f64 1 (-.f64 y z))
Compiler

Compiled 4789 to 3205 computations (33.1% saved)

simplify109.0ms (1.2%)

Algorithm
egg-herbie
Counts
409 → 409
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050967879

prune386.0ms (4.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4090409
Fresh033
Picked011
Done033
Total4097416
Error
0b
Counts
416 → 7
Compiler

Compiled 8167 to 2712 computations (66.8% saved)

regimes776.0ms (8.8%)

Accuracy

Total 1.2b remaining (98.5%)

Threshold costs 0b (0%)

Compiler

Compiled 5356 to 4005 computations (25.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03572
13572

end10.0ms (0.1%)

Compiler

Compiled 147 to 60 computations (59.2% saved)

sample915.0ms (10.4%)

Algorithm
intervals
Results
256.0ms8000×body128valid
11.0ms371×body128invalid
Compiler

Compiled 174 to 117 computations (32.8% saved)

Profiling

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