Details

Time bar (total: 4.4s)

analyze510.0ms (11.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0486640
1486640
033
133
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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify143.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.5b
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 y z))
12.9b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite63.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_19878
10×*-un-lft-identity_binary64_19856
add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
add-cube-cbrt_binary64_19891
cancel-sign-sub-inv_binary64_19822
associate-*r*_binary64_19796
pow1_binary64_19917 associate-*r/_binary64_19798 distribute-rgt-in_binary64_19806 distribute-lft-in_binary64_19805
times-frac_binary64_19862 associate-/r*_binary64_19800 associate-*l*_binary64_19797
prod-exp_binary64_19905 div-exp_binary64_19907 add-log-exp_binary64_19895 cbrt-undiv_binary64_19890 cbrt-unprod_binary64_19889 flip3--_binary64_19860 associate-/l/_binary64_19803 flip--_binary64_19831 sub-neg_binary64_19849
frac-2neg_binary64_19867 clear-num_binary64_19855 div-inv_binary64_19853 associate-/l*_binary64_19801 pow-prod-down_binary64_19927 unswap-sqr_binary64_19824 difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808 *-commutative_binary64_19787
Counts
2 → 53
Calls

2 calls:

8.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 710 to 208 computations (70.7% saved)

series249.0ms (5.6%)

Error
2.6b
Counts
2 → 30
Calls

2 calls:

139.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
94.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify52.0ms (1.2%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05062790

prune55.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77683
Fresh000
Picked011
Done000
Total77784
Error
0.0b
Counts
84 → 7
Compiler

Compiled 850 to 202 computations (76.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite75.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
41×add-sqr-sqrt_binary64_19878
36×*-un-lft-identity_binary64_19856
31×times-frac_binary64_19862
22×add-cube-cbrt_binary64_19891
19×associate-*r*_binary64_19796
add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
associate-/l*_binary64_19801
pow1_binary64_19917
associate-*l*_binary64_19797 associate-/r*_binary64_19800
div-exp_binary64_19907 prod-exp_binary64_19905 add-log-exp_binary64_19895 cbrt-unprod_binary64_19889 cbrt-undiv_binary64_19890 unswap-sqr_binary64_19824 div-inv_binary64_19853 associate-/l/_binary64_19803
pow-prod-down_binary64_19927 associate-*r/_binary64_19798 *-commutative_binary64_19787 frac-2neg_binary64_19867 div-sub_binary64_19861 clear-num_binary64_19855 flip3--_binary64_19860 flip--_binary64_19831
Counts
2 → 76
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 1133 to 278 computations (75.5% saved)

series231.0ms (5.2%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

140.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
79.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 423 to 307 computations (27.4% saved)

simplify66.0ms (1.5%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050761200

prune64.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh235
Picked101
Done011
Total1037110
Error
0.0b
Counts
110 → 7
Compiler

Compiled 1248 to 357 computations (71.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite59.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-sqr-sqrt_binary64_19878
26×cancel-sign-sub-inv_binary64_19822
21×*-un-lft-identity_binary64_19856
20×times-frac_binary64_19862
17×add-cube-cbrt_binary64_19891
14×distribute-rgt-in_binary64_19806 distribute-lft-in_binary64_19805
associate-*r*_binary64_19796
difference-of-squares_binary64_19825
pow1_binary64_19917 add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892 associate-*l*_binary64_19797
sub-neg_binary64_19849 div-inv_binary64_19853 associate-*r/_binary64_19798
pow-prod-down_binary64_19927 prod-exp_binary64_19905 add-log-exp_binary64_19895 cbrt-unprod_binary64_19889 unswap-sqr_binary64_19824 flip3--_binary64_19860 flip--_binary64_19831 distribute-lft-out--_binary64_19808 *-commutative_binary64_19787
Counts
1 → 53
Calls

1 calls:

13.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 855 to 392 computations (54.2% saved)

series146.0ms (3.3%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

138.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 237 to 166 computations (30% saved)

simplify79.0ms (1.8%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05080713

prune44.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done011
Total68775
Error
0.0b
Counts
75 → 7
Compiler

Compiled 704 to 250 computations (64.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite128.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
138×times-frac_binary64_19862
102×add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
70×add-cube-cbrt_binary64_19891
26×associate-/r*_binary64_19800
16×difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
11×associate-/r/_binary64_19802
add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
div-inv_binary64_19853 associate-/l*_binary64_19801
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
Counts
2 → 139
Calls

2 calls:

10.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 2456 to 567 computations (76.9% saved)

series247.0ms (5.6%)

Error
0.0b
Counts
2 → 36
Calls

2 calls:

147.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
79.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 873 to 632 computations (27.6% saved)

simplify78.0ms (1.8%)

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050133200

prune105.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1732175
Fresh224
Picked011
Done022
Total1757182
Error
0b
Counts
182 → 7
Compiler

Compiled 2557 to 502 computations (80.4% saved)

regimes705.0ms (15.9%)

Accuracy

Total 2.3b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 2382 to 1687 computations (29.2% saved)

bsearch96.0ms (2.2%)

Steps
ItersRangePoint
8
9.819848640249292e-46
1.2060612547773362e-42
9.608731286136189e-45
10
5.251031785521794e-246
9.513773361807368e-232
9.067204618713828e-232
10
6.58554913425494e-299
2.0231182862710908e-286
1.2558456771868084e-292
9
-6.405911837365057e-61
-3.5962017488373184e-69
-1.0766423981689913e-63
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
011981
111981

end0.0ms (0%)

sample1.2s (27.1%)

Algorithm
intervals
Results
234.0ms8000×body128valid
19.0ms739×body128invalid
Compiler

Compiled 658 to 456 computations (30.7% saved)

Profiling

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