Details

Time bar (total: 21.2s)

sample126.0ms

Algorithm
intervals
Results
54.0ms592×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (275.0ms)

IterNodesCost
02329
14729
211028
333328
490927
5281127
done500027

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.5b

localize30.0ms

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)))

rewrite136.0ms

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:
15.0ms
(- (* c z) (* i a))
37.0ms
(* b (- (* c z) (* i a)))
40.0ms
(* j (- (* c t) (* i y)))
40.0ms
(* x (- (* y z) (* t a)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* c z) (* i a))
112.0ms
(* b (- (* c z) (* i a)))
124.0ms
(* j (- (* c t) (* i y)))
108.0ms
(* x (- (* y z) (* t a)))

simplify2.8s

Counts
112 → 112
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
02001357
14761338
213631195
349921195
done50001195

prune682.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.7b

localize24.0ms

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)))

rewrite144.0ms

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:
24.0ms
(* i (* j y))
23.0ms
(* t (* j c))
47.0ms
(* b (- (* c z) (* i a)))
46.0ms
(* x (- (* y z) (* t a)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* i (* j y))
36.0ms
(* t (* j c))
116.0ms
(* b (- (* c z) (* i a)))
110.0ms
(* x (- (* y z) (* t a)))

simplify1.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
01961094
14691082
21464936
done5001936

prune605.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.2b

localize35.0ms

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))

rewrite124.0ms

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:
29.0ms
(* i (* j y))
24.0ms
(* t (* j c))
42.0ms
(* b (- (* c z) (* i a)))
26.0ms
(* a (* x t))

series208.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* i (* j y))
36.0ms
(* t (* j c))
97.0ms
(* b (- (* c z) (* i a)))
37.0ms
(* a (* x t))

simplify3.3s

Counts
100 → 100
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0171871
1410859
21350758
34818726
done5000726

prune952.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize36.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* x a) t)
4.8b
(* i (* j y))
4.9b
(* t (* j c))
5.1b
(* b (- (* c z) (* i a)))

rewrite137.0ms

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:
31.0ms
(* (* x a) t)
25.0ms
(* i (* j y))
28.0ms
(* t (* j c))
48.0ms
(* b (- (* c z) (* i a)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* x a) t)
34.0ms
(* i (* j y))
48.0ms
(* t (* j c))
91.0ms
(* b (- (* c z) (* i a)))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
0170874
1414860
21419727
done5000727

prune486.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.4b

regimes1.3s

Accuracy

22.6% (7.4b remaining)

Error of 10.8b against oracle of 3.4b and baseline of 12.9b

bsearch157.0ms

Steps
ItersRangePoint
8
7.145979872213701e-119
3.8400264464765154e-116
5.605088386505131e-117
1
-7.733729148542175
-7.2609806934167
-7.615542034760807

simplify35.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
044119
18682
211282
311382
done11382

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.5s19000×body80valid