Details

Time bar (total: 28.3s)

sample209.0ms

Algorithm
intervals
Results
112.0ms664×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
496929
done500129

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* i a))
4.9b
(* j (- (* c t) (* i y)))
5.6b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
sub-neg
distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
flip3-- flip--
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
diff-log
Counts
4 → 84
Calls
4 calls:
16.0ms
(- (* c z) (* i a))
60.0ms
(* j (- (* c t) (* i y)))
62.0ms
(* b (- (* c z) (* i a)))
56.0ms
(* x (- (* y z) (* t a)))

series489.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* c z) (* i a))
142.0ms
(* j (- (* c t) (* i y)))
135.0ms
(* b (- (* c z) (* i a)))
142.0ms
(* x (- (* y z) (* t a)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01671155
14611141
218701015
done50001007

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize73.0ms

Local error

Found 4 expressions with local error:

5.4b
(* t (* j c))
5.6b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))
6.0b
(* i (* j y))

rewrite195.0ms

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
associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
32.0ms
(* t (* j c))
57.0ms
(* b (- (* c z) (* i a)))
51.0ms
(* x (- (* y z) (* t a)))
50.0ms
(* i (* j y))

series369.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* t (* j c))
131.0ms
(* b (- (* c z) (* i a)))
140.0ms
(* x (- (* y z) (* t a)))
48.0ms
(* i (* j y))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0171958
1458946
21735814
done5000806

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.0b

localize81.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (* t j) c)
5.6b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))
6.0b
(* i (* j y))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
31.0ms
(* (* t j) c)
47.0ms
(* b (- (* c z) (* i a)))
55.0ms
(* x (- (* y z) (* t a)))
30.0ms
(* i (* j y))

series348.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* t j) c)
127.0ms
(* b (- (* c z) (* i a)))
117.0ms
(* x (- (* y z) (* t a)))
50.0ms
(* i (* j y))

simplify1.8s

Counts
96 → 96
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0174961
1474947
22217821
done5000815

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize94.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (* t j) c)
5.6b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))
6.3b
(* (* i j) y)

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity
associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
37.0ms
(* (* t j) c)
63.0ms
(* b (- (* c z) (* i a)))
56.0ms
(* x (- (* y z) (* t a)))
37.0ms
(* (* i j) y)

series378.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* t j) c)
148.0ms
(* b (- (* c z) (* i a)))
131.0ms
(* x (- (* y z) (* t a)))
46.0ms
(* (* i j) y)

simplify2.2s

Counts
96 → 96
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0176964
1482948
22369818
done5002812

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

regimes3.5s

Accuracy

10.1% (8.4b remaining)

Error of 12.0b against oracle of 3.6b and baseline of 12.9b

bsearch1.2s

Steps
ItersRangePoint
8
4.9034729207726525e-220
2.1227629598124326e-217
4.3576839570294526e-218
3
2.3048455278633623e-296
3.351263457343483e-296
2.6829757801339493e-296
9
-5.320162488446726e+153
-4.3604700821658653e+145
-2.8863398083870065e+153

simplify35.0ms

Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
064154
1108153
2135153
done135153

end0.0ms

sample7.2s

Algorithm
intervals
Results
4.6s18880×body80valid