Details

Time bar (total: 20.9s)

sample152.0ms

Algorithm
intervals
Results
86.0ms574×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
4950
3290
296
143
023

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* t c) (* i y))
5.4b
(* j (- (* t c) (* i y)))
5.9b
(* (- (* a i) (* z c)) b)
6.8b
(* (- (* z y) (* t a)) x)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l*
6×add-log-exp
4×flip3-- associate-*l/ flip--
3×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×distribute-rgt-in distribute-lft-in associate-*r/
1×diff-log
Counts
4 → 76
Calls
4 calls:
12.0ms
(- (* t c) (* i y))
36.0ms
(* j (- (* t c) (* i y)))
20.0ms
(* (- (* a i) (* z c)) b)
45.0ms
(* (- (* z y) (* t a)) x)

series366.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* t c) (* i y))
123.0ms
(* j (- (* t c) (* i y)))
115.0ms
(* (- (* a i) (* z c)) b)
78.0ms
(* (- (* z y) (* t a)) x)

simplify714.0ms

Counts
88 → 88
Iterations
IterNodes
done5000
21669
1414
0153

prune941.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.3b

localize68.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* z b) c)
5.4b
(* j (- (* t c) (* i y)))
6.8b
(* (- (* z y) (* t a)) x)
7.1b
(* a (* b i))

rewrite119.0ms

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
8×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-*l/ associate-*r/ flip-- unswap-sqr
Counts
4 → 80
Calls
4 calls:
28.0ms
(* (* z b) c)
22.0ms
(* j (- (* t c) (* i y)))
41.0ms
(* (- (* z y) (* t a)) x)
23.0ms
(* a (* b i))

series295.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* z b) c)
99.0ms
(* j (- (* t c) (* i y)))
106.0ms
(* (- (* z y) (* t a)) x)
47.0ms
(* a (* b i))

simplify1.0s

Counts
92 → 92
Iterations
IterNodes
done5002
22157
1454
0168

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.3b

localize44.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* x t) a)
4.4b
(* x (* z y))
5.4b
(* j (- (* t c) (* i y)))
7.1b
(* a (* b i))

rewrite89.0ms

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
9×*-un-lft-identity add-cube-cbrt
8×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:
25.0ms
(* (* x t) a)
14.0ms
(* x (* z y))
21.0ms
(* j (- (* t c) (* i y)))
28.0ms
(* a (* b i))

series196.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x t) a)
53.0ms
(* x (* z y))
85.0ms
(* j (- (* t c) (* i y)))
30.0ms
(* a (* b i))

simplify910.0ms

Counts
90 → 90
Iterations
IterNodes
done5001
21840
1413
0153

prune971.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (* y i) (- j))
4.4b
(* (* x t) a)
4.4b
(* x (* z y))
7.1b
(* a (* b i))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
15×associate-*r*
12×pow-prod-down prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×associate-*l*
4×*-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 80
Calls
4 calls:
39.0ms
(* (* y i) (- j))
24.0ms
(* (* x t) a)
12.0ms
(* x (* z y))
16.0ms
(* a (* b i))

series144.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* y i) (- j))
32.0ms
(* (* x t) a)
28.0ms
(* x (* z y))
36.0ms
(* a (* b i))

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
done5001
22308
1421
0149

prune813.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

regimes2.8s

Accuracy

29.7% (9.2b remaining)

Error of 9.8b against oracle of 0.5b and baseline of 13.7b

bsearch984.0ms

Steps
ItersRangePoint
8
1.4773750673702296e+118
1.818272571409115e+121
1.659927328976306e+118
9
2.027763596424143e-208
6.545422205067267e-203
2.2488515135899008e-207
10
-6.478023102350388e-270
-1.2699445064135876e-282
-5.9391416205088385e-276
7
-2.7041593649441782e-166
-3.8981741824529295e-168
-1.3107080331882569e-167
4
-5.818363897428743e-39
-3.940974322608729e-39
-5.4076849279368656e-39

simplify61.0ms

Iterations
IterNodes
done174
5174
4173
3167
2148
1130
085

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.9s18706×body80valid