Details

Time bar (total: 15.7s)

sample77.0ms

Algorithm
intervals
Results
34.0ms573×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
14329
29629
329029
467729
5152229
6441629
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c a) (* y i))
4.5b
(* x (- (* y z) (* t a)))
5.8b
(* b (- (* c z) (* t i)))
6.0b
(* j (- (* c a) (* y i)))

rewrite89.0ms

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:
7.0ms
(- (* c a) (* y i))
27.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* b (- (* c z) (* t i)))
28.0ms
(* j (- (* c a) (* y i)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* c a) (* y i))
72.0ms
(* x (- (* y z) (* t a)))
71.0ms
(* b (- (* c z) (* t i)))
67.0ms
(* j (- (* c a) (* y i)))

simplify1.8s

Counts
96 → 96
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01671155
14221141
212121007
344531007
done50001007

prune408.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.4b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* z (* b c))
4.5b
(* x (- (* y z) (* t a)))
5.5b
(* b (- (* t i)))
6.0b
(* j (- (* c a) (* y i)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
15.0ms
(* z (* b c))
26.0ms
(* x (- (* y z) (* t a)))
13.0ms
(* b (- (* t i)))
25.0ms
(* j (- (* c a) (* y i)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* z (* b c))
70.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* b (- (* t i)))
71.0ms
(* j (- (* c a) (* y i)))

simplify826.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
01751001
1444983
21440852
done5001852

prune442.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b
(* z (* b c))
4.5b
(* x (- (* y z) (* t a)))
5.3b
(* (- (* y i)) j)
5.5b
(* b (- (* t i)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*l* add-cbrt-cube
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
3×unswap-sqr
2×distribute-lft-neg-in distribute-rgt-in neg-mul-1 sub-neg distribute-rgt-neg-in distribute-lft-in associate-*r/
1×distribute-lft-neg-out flip3-- distribute-rgt-neg-out flip--
Counts
4 → 86
Calls
4 calls:
15.0ms
(* z (* b c))
26.0ms
(* x (- (* y z) (* t a)))
12.0ms
(* (- (* y i)) j)
11.0ms
(* b (- (* t i)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* z (* b c))
71.0ms
(* x (- (* y z) (* t a)))
28.0ms
(* (- (* y i)) j)
31.0ms
(* b (- (* t i)))

simplify893.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
0163867
1411843
21497732
done5001732

prune453.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.5b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* z (* b c))
4.0b
(* (* b t) (- i))
4.5b
(* x (- (* y z) (* t a)))
5.3b
(* (- (* y i)) j)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
17×associate-*r*
16×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-lft-neg-in distribute-rgt-neg-in *-commutative add-log-exp
2×distribute-rgt-in neg-mul-1 sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-out flip3-- distribute-rgt-neg-out flip--
Counts
4 → 90
Calls
4 calls:
15.0ms
(* z (* b c))
19.0ms
(* (* b t) (- i))
28.0ms
(* x (- (* y z) (* t a)))
10.0ms
(* (- (* y i)) j)

series155.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* z (* b c))
27.0ms
(* (* b t) (- i))
70.0ms
(* x (- (* y z) (* t a)))
31.0ms
(* (- (* y i)) j)

simplify1.0s

Counts
102 → 102
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
0176908
1469875
21725755
done5001755

prune380.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.5b

regimes1.1s

Accuracy

20.5% (8.7b remaining)

Error of 11.3b against oracle of 2.6b and baseline of 13.5b

bsearch554.0ms

Steps
ItersRangePoint
10
3.04399319486385e+101
1.6687350289742882e+117
4.2579388831125925e+101
7
6.047885796999432e-32
4.3919585308403606e-30
1.0228836295704186e-30
9
8.451918840278495e-154
6.351472854397493e-149
2.4432506796441935e-151
9
3.0197599019660196e-180
4.148750635179534e-173
3.13784002197825e-179
7
-1077848312283.251
-4859163546.944232
-14000959500.120222

simplify30.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
074254
1133252
2168252
3171252
done171252

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s18859×body80valid