Details

Time bar (total: 25.1s)

sample141.0ms

Algorithm
intervals
Results
60.0ms592×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
467729
5152229
6442129
done500029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* i a))
5.1b
(* b (- (* c z) (* i a)))
5.9b
(* j (- (* c t) (* i y)))
6.6b
(* x (- (* y z) (* t a)))

rewrite136.0ms

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:
13.0ms
(- (* c z) (* i a))
35.0ms
(* b (- (* c z) (* i a)))
44.0ms
(* j (- (* c t) (* i y)))
40.0ms
(* x (- (* y z) (* t a)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* c z) (* i a))
85.0ms
(* b (- (* c z) (* i a)))
92.0ms
(* j (- (* c t) (* i y)))
96.0ms
(* x (- (* y z) (* t a)))

simplify2.4s

Counts
96 → 96
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01671155
14251141
212181007
344341007
done50001007

prune553.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.2b

localize24.0ms

Local error

Found 4 expressions with local error:

4.8b
(* i (* j y))
4.9b
(* t (* j c))
5.1b
(* b (- (* c z) (* i a)))
6.6b
(* x (- (* y z) (* t a)))

rewrite122.0ms

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:
16.0ms
(* i (* j y))
26.0ms
(* t (* j c))
38.0ms
(* b (- (* c z) (* i a)))
39.0ms
(* x (- (* y z) (* t a)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* i (* j y))
43.0ms
(* t (* j c))
104.0ms
(* b (- (* c z) (* i a)))
102.0ms
(* x (- (* y z) (* t a)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
0171958
1435946
21370806
done5000806

prune545.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.2b

localize41.0ms

Local error

Found 4 expressions with local error:

4.8b
(* i (* j y))
4.9b
(* t (* j c))
5.1b
(* b (- (* c z) (* i a)))
5.2b
(* a (* x t))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
32.0ms
(* i (* j y))
31.0ms
(* t (* j c))
49.0ms
(* b (- (* c z) (* i a)))
17.0ms
(* a (* x t))

series227.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* i (* j y))
33.0ms
(* t (* j c))
109.0ms
(* b (- (* c z) (* i a)))
44.0ms
(* a (* x t))

simplify3.4s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0154779
1388767
21304643
34737637
done5001637

prune501.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize48.0ms

Local error

Found 4 expressions with local error:

4.5b
(* t (* x a))
4.8b
(* i (* j y))
4.9b
(* t (* j c))
5.1b
(* b (- (* c z) (* i a)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
30.0ms
(* t (* x a))
32.0ms
(* i (* j y))
35.0ms
(* t (* j c))
51.0ms
(* b (- (* c z) (* i a)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* t (* x a))
51.0ms
(* i (* j y))
36.0ms
(* t (* j c))
86.0ms
(* b (- (* c z) (* i a)))

simplify3.3s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0152779
1386767
21308643
34739637
done5000637

prune477.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.4b

regimes1.4s

Accuracy

22.6% (7.4b remaining)

Error of 10.8b against oracle of 3.4b and baseline of 12.9b

bsearch194.0ms

Steps
ItersRangePoint
8
7.145979872213701e-119
3.8400264464765154e-116
5.605088386505131e-117
1
-7.733729148542175
-7.2609806934167
-7.615542034760807

simplify21.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
044119
18682
211282
311382
done11382

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.7s19000×body80valid