Details

Time bar (total: 26.2s)

sample125.0ms

Algorithm
intervals
Results
65.0ms616×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
467729
5152229
6441629
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* c z) (* t i))
4.7b
(* x (- (* y z) (* t a)))
5.6b
(* b (- (* c z) (* t i)))
7.5b
(* j (- (* c a) (* y i)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
16.0ms
(- (* c z) (* t i))
54.0ms
(* x (- (* y z) (* t a)))
39.0ms
(* b (- (* c z) (* t i)))
27.0ms
(* j (- (* c a) (* y i)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* c z) (* t i))
110.0ms
(* x (- (* y z) (* t a)))
110.0ms
(* b (- (* c z) (* t i)))
99.0ms
(* j (- (* c a) (* y i)))

simplify2.7s

Counts
96 → 96
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
01661155
14211141
212111007
344531007
done50001007

prune645.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.7b

localize50.0ms

Local error

Found 4 expressions with local error:

3.9b
(* a (* x t))
4.7b
(* x (* z y))
5.6b
(* b (- (* c z) (* t i)))
7.5b
(* j (- (* c a) (* y i)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
35.0ms
(* a (* x t))
17.0ms
(* x (* z y))
51.0ms
(* b (- (* c z) (* t i)))
38.0ms
(* j (- (* c a) (* y i)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* a (* x t))
44.0ms
(* x (* z y))
112.0ms
(* b (- (* c z) (* t i)))
132.0ms
(* j (- (* c a) (* y i)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
0171958
1431946
21356806
done5001806

prune653.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.8b

localize48.0ms

Local error

Found 4 expressions with local error:

4.1b
(* a (* j c))
4.7b
(* x (* z y))
5.6b
(* b (- (* c z) (* t i)))
6.1b
(* (- (* y i)) j)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
15×associate-*l*
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in flip--
Counts
4 → 82
Calls
4 calls:
29.0ms
(* a (* j c))
34.0ms
(* x (* z y))
49.0ms
(* b (- (* c z) (* t i)))
13.0ms
(* (- (* y i)) j)

series222.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* a (* j c))
34.0ms
(* x (* z y))
122.0ms
(* b (- (* c z) (* t i)))
30.0ms
(* (- (* y i)) j)

simplify1.6s

Counts
94 → 94
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
0158824
1397806
21395686
done5000686

prune692.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 2.5b

localize52.0ms

Local error

Found 4 expressions with local error:

4.1b
(* a (* j c))
4.7b
(* x (* z y))
4.7b
(* y (- (* i j)))
5.6b
(* b (- (* c z) (* t i)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
Counts
4 → 82
Calls
4 calls:
16.0ms
(* a (* j c))
35.0ms
(* x (* z y))
25.0ms
(* y (- (* i j)))
39.0ms
(* b (- (* c z) (* t i)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* a (* j c))
50.0ms
(* x (* z y))
33.0ms
(* y (- (* i j)))
103.0ms
(* b (- (* c z) (* t i)))

simplify1.4s

Counts
94 → 94
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
0159822
1396804
21362683
done5001683

prune491.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 1.8b

regimes2.2s

Accuracy

5.8% (9.1b remaining)

Error of 11.0b against oracle of 1.8b and baseline of 11.5b

bsearch751.0ms

Steps
ItersRangePoint
9
8.452658233261191e+36
5.647280553893629e+41
4.024124961354597e+40
8
1.945003127893035e-278
1.82170910376003e-274
2.3703300192846617e-276
6
-2.783270129617179e-305
-5.6632688922710007e-306
-1.7954860419346808e-305
8
-5.2296493857241665e-179
-2.670442535152345e-183
-3.24794211971574e-183
8
-1.4088903720223354e-52
-8.011059744413819e-56
-2.43573431022587e-55

simplify62.0ms

Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
076210
1135208
2164208
3167208
done167208

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.5s18901×body80valid