Details

Time bar (total: 26.4s)

sample156.0ms

Algorithm
intervals
Results
93.0ms616×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
467729
5152229
6441629
done500129

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize56.0ms

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)))

rewrite146.0ms

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:
8.0ms
(- (* c z) (* t i))
40.0ms
(* x (- (* y z) (* t a)))
34.0ms
(* b (- (* c z) (* t i)))
61.0ms
(* j (- (* c a) (* y i)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* c z) (* t i))
127.0ms
(* x (- (* y z) (* t a)))
129.0ms
(* b (- (* c z) (* t i)))
83.0ms
(* j (- (* c a) (* y i)))

simplify2.9s

Counts
96 → 96
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
01661155
14211141
212111007
344531007
done50001007

prune618.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.7b

localize52.0ms

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)))

rewrite553.0ms

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:
24.0ms
(* a (* x t))
16.0ms
(* x (* z y))
54.0ms
(* b (- (* c z) (* t i)))
48.0ms
(* j (- (* c a) (* y i)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* a (* x t))
44.0ms
(* x (* z y))
118.0ms
(* b (- (* c z) (* t i)))
93.0ms
(* j (- (* c a) (* y i)))

simplify1.6s

Counts
96 → 96
Iterations

Useful iterations: 2 (360.0ms)

IterNodesCost
0171958
1431946
21356806
done5001806

prune784.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.8b

localize66.0ms

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)

rewrite114.0ms

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:
20.0ms
(* a (* j c))
30.0ms
(* x (* z y))
31.0ms
(* b (- (* c z) (* t i)))
31.0ms
(* (- (* y i)) j)

series220.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* a (* j c))
36.0ms
(* x (* z y))
98.0ms
(* b (- (* c z) (* t i)))
53.0ms
(* (- (* y i)) j)

simplify1.6s

Counts
94 → 94
Iterations

Useful iterations: 2 (218.0ms)

IterNodesCost
0158824
1397806
21395686
done5000686

prune653.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 2.5b

localize45.0ms

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)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
19×associate-*l*
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×*-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×distribute-lft-neg-out neg-mul-1 flip3-- flip-- unswap-sqr
Counts
4 → 86
Calls
4 calls:
28.0ms
(* a (* j c))
18.0ms
(* x (* z y))
22.0ms
(* (- y) (* i j))
38.0ms
(* b (- (* c z) (* t i)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* a (* j c))
43.0ms
(* x (* z y))
37.0ms
(* (- y) (* i j))
95.0ms
(* b (- (* c z) (* t i)))

simplify1.3s

Counts
98 → 98
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
0167854
1429834
21529704
done5000704

prune461.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.8b

regimes2.0s

Accuracy

5.8% (9.1b remaining)

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

bsearch721.0ms

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

simplify58.0ms

Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
077210
1134204
2164204
3175204
done175204

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.8s18901×body80valid