Details

Time bar (total: 22.7s)

sample100.0ms

Algorithm
intervals
Results
43.0ms592×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (211.0ms)

IterNodesCost
02329
14729
211028
333328
490927
5281127
done500027

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.5b

localize34.0ms

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)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
9.0ms
(- (* c z) (* i a))
29.0ms
(* b (- (* c z) (* i a)))
36.0ms
(* j (- (* c t) (* i y)))
49.0ms
(* x (- (* y z) (* t a)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* c z) (* i a))
105.0ms
(* b (- (* c z) (* i a)))
89.0ms
(* j (- (* c t) (* i y)))
93.0ms
(* x (- (* y z) (* t a)))

simplify2.8s

Counts
112 → 112
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
02001357
14761338
213631195
349921195
done50001195

prune655.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.7b

localize23.0ms

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)))

rewrite134.0ms

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
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
21.0ms
(* i (* j y))
22.0ms
(* t (* j c))
39.0ms
(* b (- (* c z) (* i a)))
47.0ms
(* x (- (* y z) (* t a)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* i (* j y))
60.0ms
(* t (* j c))
120.0ms
(* b (- (* c z) (* i a)))
99.0ms
(* x (- (* y z) (* t a)))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
01961094
14691082
21464936
done5001936

prune569.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.2b

localize38.0ms

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))

rewrite120.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- unswap-sqr
Counts
4 → 88
Calls
4 calls:
18.0ms
(* i (* j y))
23.0ms
(* t (* j c))
52.0ms
(* b (- (* c z) (* i a)))
24.0ms
(* a (* x t))

series204.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* i (* j y))
37.0ms
(* t (* j c))
103.0ms
(* b (- (* c z) (* i a)))
32.0ms
(* a (* x t))

simplify3.1s

Counts
100 → 100
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0171871
1410859
21350758
34818726
done5000726

prune675.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize42.0ms

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)))

rewrite128.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- unswap-sqr
Counts
4 → 88
Calls
4 calls:
25.0ms
(* t (* x a))
32.0ms
(* i (* j y))
29.0ms
(* t (* j c))
37.0ms
(* b (- (* c z) (* i a)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* t (* x a))
32.0ms
(* i (* j y))
48.0ms
(* t (* j c))
124.0ms
(* b (- (* c z) (* i a)))

simplify3.3s

Counts
100 → 100
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0169871
1406859
21342732
34796726
done5000726

prune521.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.4b

regimes1.4s

Accuracy

7.6% (8.7b remaining)

Error of 12.1b against oracle of 3.4b and baseline of 12.8b

bsearch458.0ms

Steps
ItersRangePoint
9
6.483764697664645e-94
5.6045195107449495e-89
4.230290055141419e-90
6
6.891473544134692e-216
9.141425804945795e-215
4.890488450149845e-215
9
7.146880107724735e-241
1.470172013892331e-235
4.019988014933806e-236
4
-1.6202421487535662e-161
-1.1442623739843973e-161
-1.2186342137920802e-161

simplify42.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
079182
1140176
2182176
3194176
done194176

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s19000×body80valid