Details

Time bar (total: 14.5s)

sample71.0ms

Algorithm
intervals
Results
37.0ms589×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
324829
462529
5157929
6373129
done500029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.5b
(* j (- (* c t) (* i y)))
5.9b
(* b (- (* c z) (* i a)))
8.0b
(* x (- (* y z) (* t a)))

rewrite34.0ms

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:
3.0ms
(- (* c t) (* i y))
9.0ms
(* j (- (* c t) (* i y)))
10.0ms
(* b (- (* c z) (* i a)))
10.0ms
(* x (- (* y z) (* t a)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c t) (* i y))
72.0ms
(* j (- (* c t) (* i y)))
68.0ms
(* b (- (* c z) (* i a)))
76.0ms
(* x (- (* y z) (* t a)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
01661155
14211141
211761007
339021007
done50001007

prune415.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.9b

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b
(* z (* b c))
4.5b
(* j (- (* c t) (* i y)))
5.0b
(* (- (* i a)) b)
8.0b
(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*l* add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
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-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 88
Calls
4 calls:
6.0ms
(* z (* b c))
9.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* (- (* i a)) b)
10.0ms
(* x (- (* y z) (* t a)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* z (* b c))
70.0ms
(* j (- (* c t) (* i y)))
32.0ms
(* (- (* i a)) b)
68.0ms
(* x (- (* y z) (* t a)))

simplify885.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01741003
1445985
21514855
done5001855

prune448.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c t) (* i y)))
5.0b
(* (- (* i a)) b)
6.1b
(* (* y z) x)
6.4b
(* a (* x t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity associate-*r*
8×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:
9.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* (- (* i a)) b)
6.0ms
(* (* y z) x)
6.0ms
(* a (* x t))

series161.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* j (- (* c t) (* i y)))
35.0ms
(* (- (* i a)) b)
26.0ms
(* (* y z) x)
28.0ms
(* a (* x t))

simplify969.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0164827
1409807
21569687
done5000687

prune480.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c t) (* i y)))
5.0b
(* (- (* i a)) b)
5.1b
(* (* x a) t)
6.1b
(* (* y z) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r*
11×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×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:
9.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* (- (* i a)) b)
6.0ms
(* (* x a) t)
7.0ms
(* (* y z) x)

series169.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* j (- (* c t) (* i y)))
31.0ms
(* (- (* i a)) b)
30.0ms
(* (* x a) t)
30.0ms
(* (* y z) x)

simplify1.0s

Counts
94 → 94
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
0165830
1419808
21666688
done5000688

prune391.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

regimes1.2s

Accuracy

15.4% (10.2b remaining)

Error of 11.0b against oracle of 0.8b and baseline of 12.9b

bsearch583.0ms

Steps
ItersRangePoint
7
9.185560393619642e-99
2.947895927354504e-97
2.444615527474059e-97
9
2.2268154755434836e-158
1.7027846548458703e-152
6.494691445866404e-155
6
1.6395219560009974e-266
2.2922123107741697e-265
5.045208863967054e-266
6
-7.002302498414531e-190
-9.12843474651517e-191
-6.899442878558985e-190
9
-1.959967240438235e-57
-5.0879230280326365e-65
-8.040964153181518e-61
4
-2.939855516580833e+50
-1.7748914840632409e+50
-2.4276576923591833e+50

simplify25.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
076271
1131269
2168269
3176269
done176269

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19305×body80valid