Details

Time bar (total: 21.9s)

sample152.0ms

Algorithm
intervals
Results
72.0ms560×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
4953
3290
296
143
023

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- (* t i) (* z c)) b) (+ (* j (- (* a c) (* y i))) (* (- (* z y) (* t a)) x)))
4.2b
(* j (- (* a c) (* y i)))
5.4b
(* (- (* t i) (* z c)) b)
5.9b
(* (- (* z y) (* t a)) x)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
20×frac-add
17×flip3-- flip--
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube associate-*r/ add-exp-log add-cube-cbrt
associate-*r* associate-*l* add-log-exp
sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
distribute-rgt-in sub-neg distribute-lft-in
+-commutative associate-+r+
Counts
4 → 89
Calls
4 calls:
40.0ms
(+ (* (- (* t i) (* z c)) b) (+ (* j (- (* a c) (* y i))) (* (- (* z y) (* t a)) x)))
41.0ms
(* j (- (* a c) (* y i)))
27.0ms
(* (- (* t i) (* z c)) b)
32.0ms
(* (- (* z y) (* t a)) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
865.0ms
(+ (* (- (* t i) (* z c)) b) (+ (* j (- (* a c) (* y i))) (* (- (* z y) (* t a)) x)))
92.0ms
(* j (- (* a c) (* y i)))
113.0ms
(* (- (* t i) (* z c)) b)
93.0ms
(* (- (* z y) (* t a)) x)

simplify530.0ms

Counts
101 → 101
Iterations
IterNodes
done5000
1879
0254

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.3b

localize61.0ms

Local error

Found 4 expressions with local error:

4.2b
(* j (- (* a c) (* y i)))
4.8b
(* (* b c) z)
5.2b
(* i (* b t))
5.9b
(* (- (* z y) (* t a)) x)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
*-commutative add-log-exp
distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-*l/ associate-*r/ flip-- unswap-sqr
Counts
4 → 80
Calls
4 calls:
42.0ms
(* j (- (* a c) (* y i)))
27.0ms
(* (* b c) z)
33.0ms
(* i (* b t))
33.0ms
(* (- (* z y) (* t a)) x)

series295.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* j (- (* a c) (* y i)))
31.0ms
(* (* b c) z)
36.0ms
(* i (* b t))
92.0ms
(* (- (* z y) (* t a)) x)

simplify967.0ms

Counts
92 → 92
Iterations
IterNodes
done5001
22131
1454
0167

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

4.2b
(* j (- (* a c) (* y i)))
4.8b
(* (* b c) z)
5.2b
(* i (* b t))
6.0b
(* x (* t a))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
associate-*r*
*-commutative add-log-exp
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
29.0ms
(* j (- (* a c) (* y i)))
20.0ms
(* (* b c) z)
25.0ms
(* i (* b t))
20.0ms
(* x (* t a))

series239.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* j (- (* a c) (* y i)))
48.0ms
(* (* b c) z)
48.0ms
(* i (* b t))
41.0ms
(* x (* t a))

simplify988.0ms

Counts
90 → 90
Iterations
IterNodes
done5000
21962
1421
0155

prune949.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize74.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (* x t) a)
4.2b
(* j (- (* a c) (* y i)))
4.8b
(* (* b c) z)
5.2b
(* i (* b t))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
associate-*l*
*-commutative add-log-exp
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
27.0ms
(* (* x t) a)
26.0ms
(* j (- (* a c) (* y i)))
15.0ms
(* (* b c) z)
37.0ms
(* i (* b t))

series243.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* x t) a)
114.0ms
(* j (- (* a c) (* y i)))
39.0ms
(* (* b c) z)
41.0ms
(* i (* b t))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5000
22288
1431
0157

prune777.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

regimes2.7s

Accuracy

28.6% (9.1b remaining)

Error of 9.2b against oracle of 0.1b and baseline of 12.9b

bsearch1.4s

Steps
ItersRangePoint
7
15981336.637596533
885625294.6102505
60816444.42864446
6
1.7042325268629616e-78
2.271226696873461e-77
6.877712242978713e-78
9
2.027763596424143e-208
6.545422205067267e-203
6.454516511442098e-203
10
7.328298753908707e-256
7.88063471489013e-246
5.504662105172458e-251
7
-2.7041593649441782e-166
-3.8981741824529295e-168
-1.7583386901481646e-166
6
-6.263314949381958e+95
-4.936662655114398e+94
-1.8858202887214527e+95

simplify25.0ms

Iterations
IterNodes
done153
3153
2147
1132
084

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.8s18711×body80valid