Details

Time bar (total: 3.6s)

analyze489.0ms (13.6%)

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
Symmetry
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify145.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.8b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite54.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_18855
10×*-un-lft-identity_binary64_18833
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
add-cube-cbrt_binary64_18868
cancel-sign-sub-inv_binary64_18799
associate-*r*_binary64_18773
pow1_binary64_18894 associate-*r/_binary64_18775 distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782
times-frac_binary64_18839 associate-/r*_binary64_18777 associate-*l*_binary64_18774
prod-exp_binary64_18882 div-exp_binary64_18884 add-log-exp_binary64_18872 cbrt-undiv_binary64_18867 cbrt-unprod_binary64_18866 flip3--_binary64_18837 associate-/l/_binary64_18780 flip--_binary64_18808 sub-neg_binary64_18826
frac-2neg_binary64_18844 clear-num_binary64_18832 div-inv_binary64_18830 associate-/l*_binary64_18778 pow-prod-down_binary64_18904 unswap-sqr_binary64_18801 difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785 *-commutative_binary64_18764
Counts
2 → 53
Calls

2 calls:

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

Compiled 710 to 208 computations (70.7% saved)

series245.0ms (6.8%)

Error
2.5b
Counts
2 → 30
Calls

2 calls:

145.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
86.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify55.0ms (1.5%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05062790

prune48.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584
Error
0.0b
Counts
84 → 5
Compiler

Compiled 822 to 184 computations (77.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite123.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
138×times-frac_binary64_18839
102×add-sqr-sqrt_binary64_18855 *-un-lft-identity_binary64_18833
70×add-cube-cbrt_binary64_18868
26×associate-/r*_binary64_18777
16×difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785
11×associate-/r/_binary64_18779
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
div-inv_binary64_18830 associate-/l*_binary64_18778
flip3--_binary64_18837 flip--_binary64_18808
div-exp_binary64_18884 cbrt-undiv_binary64_18867
pow1_binary64_18894 add-log-exp_binary64_18872 frac-2neg_binary64_18844 clear-num_binary64_18832
Counts
2 → 139
Calls

2 calls:

11.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 2456 to 567 computations (76.9% saved)

series242.0ms (6.7%)

Error
0.0b
Counts
2 → 39
Calls

2 calls:

138.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
79.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 963 to 692 computations (28.1% saved)

simplify95.0ms (2.6%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049823299
149823299

prune108.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1753178
Fresh303
Picked011
Done101
Total1794183
Error
0b
Counts
183 → 4
Compiler

Compiled 2650 to 554 computations (79.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (/.f64 z y))
2.7b
(*.f64 x (-.f64 1 (/.f64 z y)))

rewrite87.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64_18855
39×cancel-sign-sub-inv_binary64_18799
33×*-un-lft-identity_binary64_18833
31×times-frac_binary64_18839
25×add-cube-cbrt_binary64_18868
14×distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782
associate-*r*_binary64_18773 difference-of-squares_binary64_18802
pow1_binary64_18894 add-exp-log_binary64_18871 add-log-exp_binary64_18872 add-cbrt-cube_binary64_18869
sub-neg_binary64_18826 div-inv_binary64_18830 associate-*l*_binary64_18774
flip3--_binary64_18837 associate-*r/_binary64_18775 flip--_binary64_18808 distribute-lft-out--_binary64_18785
pow-prod-down_binary64_18904 prod-exp_binary64_18882 cbrt-unprod_binary64_18866 unswap-sqr_binary64_18801 *-commutative_binary64_18764 diff-log_binary64_18925
Counts
2 → 82
Calls

2 calls:

12.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
8.0ms
(-.f64 1 (/.f64 z y))
Compiler

Compiled 1294 to 573 computations (55.7% saved)

series196.0ms (5.4%)

Error
0b
Counts
2 → 27
Calls

2 calls:

127.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
59.0ms
(-.f64 1 (/.f64 z y))
Compiler

Compiled 423 to 319 computations (24.6% saved)

simplify68.0ms (1.9%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
053221076

prune59.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done011
Total1094113
Error
0b
Counts
113 → 4
Compiler

Compiled 1042 to 385 computations (63.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b
(/.f64 (*.f64 x z) y)

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
add-cube-cbrt_binary64_18868 add-sqr-sqrt_binary64_18855 times-frac_binary64_18839 *-un-lft-identity_binary64_18833 associate-/r*_binary64_18777
div-exp_binary64_18884 cbrt-undiv_binary64_18867
pow1_binary64_18894 prod-exp_binary64_18882 add-log-exp_binary64_18872 cbrt-unprod_binary64_18866 frac-2neg_binary64_18844 clear-num_binary64_18832 div-inv_binary64_18830 associate-/l*_binary64_18778
Counts
1 → 21
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x z) y)
Compiler

Compiled 256 to 95 computations (62.9% saved)

series98.0ms (2.7%)

Error
0b
Counts
1 → 9
Calls

1 calls:

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

Compiled 189 to 114 computations (39.7% saved)

simplify106.0ms (2.9%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
04671261
14671261

prune14.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done022
Total30434
Error
0b
Counts
34 → 4
Compiler

Compiled 282 to 72 computations (74.5% saved)

regimes332.0ms (9.2%)

Accuracy

Total 0.4b remaining (99.3%)

Threshold costs 0.4b (99.3%)

Compiler

Compiled 1720 to 1162 computations (32.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078110
178110
Removed

()

end0.0ms (0%)

sample981.0ms (27.2%)

Algorithm
intervals
Results
216.0ms8000×body128valid
18.0ms730×body128invalid
Compiler

Compiled 515 to 328 computations (36.3% saved)

Profiling

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