Details

Time bar (total: 27.2s)

sample187.0ms

Algorithm
intervals
Results
99.0ms580×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
467729
5152229
6441629
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
3.9b
(* x (- (* y z) (* t a)))
4.0b
(* j (- (* c a) (* y i)))
5.8b
(* b (- (* c z) (* t i)))

rewrite117.0ms

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:
8.0ms
(- (* y z) (* t a))
39.0ms
(* x (- (* y z) (* t a)))
38.0ms
(* j (- (* c a) (* y i)))
30.0ms
(* b (- (* c z) (* t i)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* y z) (* t a))
109.0ms
(* x (- (* y z) (* t a)))
134.0ms
(* j (- (* c a) (* y i)))
125.0ms
(* b (- (* c z) (* t i)))

simplify3.1s

Counts
96 → 96
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
01661155
14221141
212121007
344621007
done50001007

prune926.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 4 expressions with local error:

3.7b
(* a (* x t))
4.0b
(* j (- (* c a) (* y i)))
4.5b
(* x (* z y))
5.8b
(* b (- (* c z) (* t i)))

rewrite138.0ms

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:
25.0ms
(* a (* x t))
43.0ms
(* j (- (* c a) (* y i)))
17.0ms
(* x (* z y))
51.0ms
(* b (- (* c z) (* t i)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* a (* x t))
105.0ms
(* j (- (* c a) (* y i)))
30.0ms
(* x (* z y))
108.0ms
(* b (- (* c z) (* t i)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
0171958
1431946
21363806
done5000806

prune477.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize32.0ms

Local error

Found 4 expressions with local error:

4.0b
(* j (- (* c a) (* y i)))
4.5b
(* x (* z y))
4.5b
(* z (* b c))
6.0b
(* (- (* t i)) b)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
15×associate-*l*
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in flip--
Counts
4 → 82
Calls
4 calls:
27.0ms
(* j (- (* c a) (* y i)))
16.0ms
(* x (* z y))
25.0ms
(* z (* b c))
11.0ms
(* (- (* t i)) b)

series195.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* j (- (* c a) (* y i)))
38.0ms
(* x (* z y))
29.0ms
(* z (* b c))
33.0ms
(* (- (* t i)) b)

simplify1.4s

Counts
94 → 94
Iterations

Useful iterations: 2 (238.0ms)

IterNodesCost
0154824
1391806
21446686
done5001686

prune562.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize36.0ms

Local error

Found 4 expressions with local error:

3.7b
(* a (* x t))
4.0b
(* j (- (* c a) (* y i)))
4.5b
(* x (* z y))
4.5b
(* z (* b c))

rewrite95.0ms

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:
21.0ms
(* a (* x t))
33.0ms
(* j (- (* c a) (* y i)))
16.0ms
(* x (* z y))
22.0ms
(* z (* b c))

series216.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* a (* x t))
106.0ms
(* j (- (* c a) (* y i)))
42.0ms
(* x (* z y))
30.0ms
(* z (* b c))

simplify3.1s

Counts
90 → 90
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
0152779
1386767
21286637
34615637
done5001637

prune448.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.0b

regimes1.1s

Accuracy

36% (6.9b remaining)

Error of 9.1b against oracle of 2.2b and baseline of 13.0b

bsearch417.0ms

Steps
ItersRangePoint
9
1.7200027918912142e+117
1.1453369585119479e+123
1.3779930573308425e+120
10
-6953680261793.228
-1163.8105601768866
-942100039185.615

simplify19.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
047115
17980
29080
39780
done9780

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.5s19074×body80valid