Details

Time bar (total: 6.5s)

analyze528.0ms (8.1%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123752
1123752
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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
054913
154913

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(*.f64 (-.f64 y x) 6)
0.3b
(*.f64 (*.f64 (-.f64 y x) 6) z)

rewrite103.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×pow1_binary64_24009 add-exp-log_binary64_23986 add-cbrt-cube_binary64_23984 add-sqr-sqrt_binary64_23970
*-un-lft-identity_binary64_23948
add-cube-cbrt_binary64_23983 associate-*l/_binary64_23891 associate-*l*_binary64_23889 associate-*r*_binary64_23888
add-log-exp_binary64_23987
pow-prod-down_binary64_24019 prod-exp_binary64_23997 cbrt-unprod_binary64_23981
flip3--_binary64_23952 flip--_binary64_23923 *-commutative_binary64_23879
unswap-sqr_binary64_23916 difference-of-squares_binary64_23917 distribute-lft-out--_binary64_23900 sum-log_binary64_24039 flip3-+_binary64_23951 flip-+_binary64_23922 +-commutative_binary64_23878
Counts
3 → 53
Calls

3 calls:

12.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
6.0ms
(*.f64 (-.f64 y x) 6)
3.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
Compiler

Compiled 817 to 413 computations (49.4% saved)

series639.0ms (9.8%)

Error
0.0b
Counts
3 → 45
Calls

3 calls:

310.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
207.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
98.0ms
(*.f64 (-.f64 y x) 6)
Compiler

Compiled 846 to 726 computations (14.2% saved)

simplify68.0ms (1%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
054611073

prune87.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh000
Picked011
Done000
Total91899
Error
0.0b
Counts
99 → 8
Compiler

Compiled 811 to 421 computations (48.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
0.0b
(*.f64 z (-.f64 x y))
0.2b
(*.f64 -6 (*.f64 z (-.f64 x y)))

rewrite182.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×distribute-rgt-in_binary64_23898 distribute-lft-in_binary64_23897
30×cancel-sign-sub-inv_binary64_23914
20×add-sqr-sqrt_binary64_23970
18×*-un-lft-identity_binary64_23948
16×add-cube-cbrt_binary64_23983 associate-+r+_binary64_23880
10×pow1_binary64_24009 add-exp-log_binary64_23986 add-cbrt-cube_binary64_23984 sub-neg_binary64_23941
associate-*r/_binary64_23890 associate-*l*_binary64_23889 associate-*r*_binary64_23888
add-log-exp_binary64_23987
pow-prod-down_binary64_24019 prod-exp_binary64_23997 cbrt-unprod_binary64_23981
flip3--_binary64_23952 flip--_binary64_23923 *-commutative_binary64_23879
unswap-sqr_binary64_23916 difference-of-squares_binary64_23917 distribute-lft-out--_binary64_23900 sum-log_binary64_24039 flip3-+_binary64_23951 flip-+_binary64_23922 +-commutative_binary64_23878
Counts
3 → 93
Calls

3 calls:

8.0ms
(*.f64 -6 (*.f64 z (-.f64 x y)))
7.0ms
(*.f64 z (-.f64 x y))
6.0ms
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
Compiler

Compiled 1480 to 615 computations (58.4% saved)

series704.0ms (10.8%)

Error
0b
Counts
3 → 48
Calls

3 calls:

313.0ms
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
212.0ms
(*.f64 -6 (*.f64 z (-.f64 x y)))
152.0ms
(*.f64 z (-.f64 x y))
Compiler

Compiled 912 to 769 computations (15.7% saved)

simplify58.0ms (0.9%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049801556
149801556

prune122.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1383141
Fresh246
Picked101
Done011
Total1418149
Error
0b
Counts
149 → 8
Compiler

Compiled 1091 to 512 computations (53.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z))))
0.0b
(+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z)))
0.2b
(*.f64 6 (*.f64 y z))
0.3b
(*.f64 -6 (*.f64 x z))

rewrite134.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×pow1_binary64_24009 add-exp-log_binary64_23986 add-cbrt-cube_binary64_23984
11×add-log-exp_binary64_23987
*-un-lft-identity_binary64_23948
pow-prod-down_binary64_24019 prod-exp_binary64_23997 add-cube-cbrt_binary64_23983 cbrt-unprod_binary64_23981 add-sqr-sqrt_binary64_23970 associate-*l*_binary64_23889
sum-log_binary64_24039
associate-*r*_binary64_23888 *-commutative_binary64_23879 flip3-+_binary64_23951 flip-+_binary64_23922 +-commutative_binary64_23878
distribute-lft-out_binary64_23899 associate-+r+_binary64_23880
Counts
4 → 61
Calls

4 calls:

8.0ms
(+.f64 x (+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z))))
6.0ms
(+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z)))
5.0ms
(*.f64 -6 (*.f64 x z))
5.0ms
(*.f64 6 (*.f64 y z))
Compiler

Compiled 1184 to 631 computations (46.7% saved)

series755.0ms (11.6%)

Error
0b
Counts
4 → 45
Calls

4 calls:

314.0ms
(+.f64 x (+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z))))
262.0ms
(+.f64 (*.f64 -6 (*.f64 x z)) (*.f64 6 (*.f64 y z)))
84.0ms
(*.f64 -6 (*.f64 x z))
72.0ms
(*.f64 6 (*.f64 y z))
Compiler

Compiled 1012 to 849 computations (16.1% saved)

simplify76.0ms (1.2%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
053201177

prune108.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh156
Picked011
Done011
Total1068114
Error
0b
Counts
114 → 8
Compiler

Compiled 954 to 511 computations (46.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
0.2b
(*.f64 (-.f64 y x) (*.f64 z 6))

rewrite64.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_24009 add-exp-log_binary64_23986 add-cbrt-cube_binary64_23984
add-sqr-sqrt_binary64_23970 *-un-lft-identity_binary64_23948 associate-*l*_binary64_23889
add-log-exp_binary64_23987
pow-prod-down_binary64_24019 prod-exp_binary64_23997 add-cube-cbrt_binary64_23983 cbrt-unprod_binary64_23981
associate-*l/_binary64_23891
flip3--_binary64_23952 flip--_binary64_23923 difference-of-squares_binary64_23917 distribute-lft-out--_binary64_23900 associate-*r*_binary64_23888 *-commutative_binary64_23879 sum-log_binary64_24039 flip3-+_binary64_23951 flip-+_binary64_23922 +-commutative_binary64_23878
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
Compiler

Compiled 526 to 269 computations (48.9% saved)

series544.0ms (8.4%)

Error
0b
Counts
2 → 33
Calls

2 calls:

313.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
208.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
Compiler

Compiled 658 to 556 computations (15.5% saved)

simplify67.0ms (1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04986813
14986813

prune53.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done022
Total66874
Error
0b
Counts
74 → 8
Compiler

Compiled 453 to 214 computations (52.8% saved)

regimes1.4s (21.7%)

Accuracy

Total 0.2b remaining (94.7%)

Threshold costs 0.2b (94.7%)

Compiler

Compiled 11572 to 9675 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02219
12219

end1.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample710.0ms (10.9%)

Algorithm
intervals
Results
235.0ms8000×body128valid
15.0ms576×body128invalid
Compiler

Compiled 139 to 127 computations (8.6% saved)

Profiling

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