Details

Time bar (total: 22.8s)

sample116.0ms

Algorithm
intervals
Results
65.0ms570×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (221.0ms)

IterNodesCost
02329
14729
211028
333328
490927
5281127
done500027

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
4.8b
(* x (- (* y z) (* t a)))
5.9b
(* b (- (* c z) (* i a)))
6.0b
(* j (- (* c t) (* i y)))

rewrite468.0ms

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 t) (* i y))
362.0ms
(* x (- (* y z) (* t a)))
57.0ms
(* b (- (* c z) (* i a)))
38.0ms
(* j (- (* c t) (* i y)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* c t) (* i y))
95.0ms
(* x (- (* y z) (* t a)))
95.0ms
(* b (- (* c z) (* i a)))
92.0ms
(* j (- (* c t) (* i y)))

simplify2.7s

Counts
112 → 112
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
02001357
14761338
213641195
349981195
done50001195

prune619.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.7b

localize58.0ms

Local error

Found 4 expressions with local error:

4.7b
(* a (* x t))
4.9b
(* (* y z) x)
5.9b
(* b (- (* c z) (* i a)))
6.0b
(* j (- (* c t) (* i y)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×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:
23.0ms
(* a (* x t))
19.0ms
(* (* y z) x)
28.0ms
(* b (- (* c z) (* i a)))
61.0ms
(* j (- (* c t) (* i y)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* a (* x t))
50.0ms
(* (* y z) x)
106.0ms
(* b (- (* c z) (* i a)))
90.0ms
(* j (- (* c t) (* i y)))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
02011097
14761083
21550937
done5001937

prune626.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.3b

localize37.0ms

Local error

Found 4 expressions with local error:

4.7b
(* a (* x t))
4.8b
(* z (* b c))
4.9b
(* (* y z) x)
6.0b
(* j (- (* c t) (* i y)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×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:
16.0ms
(* a (* x t))
17.0ms
(* z (* b c))
24.0ms
(* (* y z) x)
28.0ms
(* j (- (* c t) (* i y)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* a (* x t))
37.0ms
(* z (* b c))
28.0ms
(* (* y z) x)
86.0ms
(* j (- (* c t) (* i y)))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: 2 (323.0ms)

IterNodesCost
0173874
1414860
21428727
done5000727

prune622.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.8b

localize58.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* i a)))
4.7b
(* a (* x t))
4.8b
(* z (* b c))
6.0b
(* j (- (* c t) (* i y)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×pow-prod-down prod-exp cbrt-unprod
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 unswap-sqr
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
Counts
4 → 92
Calls
4 calls:
23.0ms
(* b (- (* i a)))
24.0ms
(* a (* x t))
22.0ms
(* z (* b c))
40.0ms
(* j (- (* c t) (* i y)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* b (- (* i a)))
42.0ms
(* a (* x t))
44.0ms
(* z (* b c))
121.0ms
(* j (- (* c t) (* i y)))

simplify1.3s

Counts
104 → 104
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
0178916
1421898
21424774
done5000774

prune685.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

regimes1.4s

Accuracy

26.1% (8.6b remaining)

Error of 9.7b against oracle of 1.1b and baseline of 12.7b

bsearch726.0ms

Steps
ItersRangePoint
8
2.6305348387749118e-20
4.915013176051302e-17
5.528046101523885e-20
6
2.7194916362596257e-224
1.5378003658259656e-223
2.8471695514033417e-224
8
2.434875777902692e-280
1.1285949520406535e-275
1.2345520700643167e-278
10
-3.0300605728475137e+97
-1.8432507673004471e+87
-4.342962072183162e+90

simplify46.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068180
1120180
2153180
3154180
done154180

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.7s18970×body80valid